done w midterm nuce 2100
This commit is contained in:
parent
fb286fdaea
commit
a011e2e0d3
@ -420,10 +420,33 @@
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""
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]
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},
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{
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"cell_type": "code",
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"execution_count": 9,
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"id": "6ba0ed78-d681-49d6-a662-9548abd61e22",
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"metadata": {},
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"outputs": [],
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"source": [
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"# Part A\n",
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"Phi_times_Sigma_f = 3.9e13 #fission/cm^3/s\n",
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"E_r = 200 * 1.60218e-13 #J/fission\n",
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"a = 40 #cm"
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]
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},
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{
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"cell_type": "markdown",
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"id": "80ce855c-127a-4cdd-93b8-dddb5531c1e6",
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"metadata": {},
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"source": [
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"$$\\phi(8) = \\frac{P \\pi}{2a E_r \\Sigma_f} \\cos\\left(\\frac{\\pi 8}{40}\\right)$$\n",
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"\n",
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"$$\\frac{ \\phi(8) \\Sigma_f E_r 2 a}{\\pi \\cos \\left( \\frac{\\pi 8}{40} \\right)} = P$$"
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]
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},
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{
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"cell_type": "code",
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"execution_count": 10,
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"id": "efab76fa-fbc8-4ea4-9d4f-f5790b0cfeb1",
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"id": "24dbc2ce-fcf2-49d8-9a01-044c468bc223",
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"metadata": {},
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"outputs": [
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{
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@ -433,21 +456,72 @@
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"\n",
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"=========FINAL ANSWER=========\n",
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"Question 6a:\n",
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"1.249700e+03 J\n",
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"3.933584e+04 W/cm^2\n",
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"=========FINAL ANSWER=========\n",
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"\n"
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]
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}
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],
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"source": [
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"# Part A\n",
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"F_dot = 3.9e13 #fission/cm^3/s\n",
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"E_r = 200 * 1.60218e-13 #J\n",
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"#According to INL: https://mooseframework.inl.gov/bison/theory/power_burnup.html\n",
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"P_local = F_dot * E_r\n",
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"answer_print('Question 6a', f'{P_local:4e} J')\n",
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"P = Phi_times_Sigma_f * E_r * 2 * a / np.pi / np.cos(np.pi*8/40)\n",
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"answer_print('Question 6a', f'{P:4e} W/cm^2')"
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]
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},
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{
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"cell_type": "markdown",
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"id": "f68df535-4c3a-4e1c-a413-98c8154eb041",
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"metadata": {},
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"source": [
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"**Part B**\n",
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"$$ \\phi(20) \\Sigma_f = \\frac{P \\pi}{2a E_r} \\cos \\left( \\frac{\\pi}{2} \\right) $$\n",
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"$$ \\phi(20) \\Sigma_f = \\frac{P \\pi}{2a E_r} \\times 0 $$\n",
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"\n",
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"# Part B\n"
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"\n",
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"========FINAL ANSWER==========\n",
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"\n",
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"$\\phi(20) \\Sigma_f = 0$\n",
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"\n",
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"========FINAL ANSWER==========\n"
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]
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},
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{
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"cell_type": "markdown",
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"id": "dd015a5c-da4d-446d-81a9-67bcff242a1f",
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"metadata": {},
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"source": [
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"**Part C**\n",
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"\n",
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"$$P(x) = \\phi(x) \\Sigma_f E_r = \\frac{P \\pi}{2a E_r} \\cos \\left( \\frac{\\pi x}{a} \\right) \\times E_r $$\n",
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"$$P(x) = \\frac{P \\pi}{2a} \\cos \\left( \\frac{\\pi x}{a} \\right) $$\n",
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"\n",
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"========FINAL ANSWER==========\n",
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"\n",
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"$P(x) = \\frac{P \\pi}{2a} \\cos \\left( \\frac{\\pi x}{a} \\right) $\n",
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"\n",
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"where\n",
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"\n",
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"$P = 3933.6 \\frac{\\text{W}}{\\text{cm}^2}$\n",
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"\n",
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"$a = 40 \\text{cm}$\n",
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"\n",
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"$E_r = 200 \\text{MeV} \\times 1.60218\\times 10^{-13} \\frac{\\text{J}}{\\text{MeV}}$\n",
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"\n",
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"========FINAL ANSWER=========="
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]
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},
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{
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"cell_type": "markdown",
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"id": "8166199c-3072-429c-85da-4fd93e06bb11",
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"metadata": {},
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"source": [
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"**Part D**\n",
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"\n",
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"\n",
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"========FINAL ANSWER==========\n",
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"\n",
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"I should get the value I obtained in Part A!\n",
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"\n",
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"========FINAL ANSWER=========="
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]
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},
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{
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@ -465,7 +539,7 @@
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},
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{
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"cell_type": "code",
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"execution_count": 27,
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"execution_count": 11,
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"id": "e669dab3-ef9a-460e-8fbc-9a99bbad623b",
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"metadata": {},
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"outputs": [
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@ -522,7 +596,7 @@
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},
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{
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"cell_type": "code",
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"execution_count": 29,
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"execution_count": 12,
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"id": "f3570a43-0a14-44c4-9237-e3e1f595535d",
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"metadata": {},
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"outputs": [
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@ -535,6 +609,12 @@
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"Question 8a:\n",
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"The atomic density of Pu239 in this reactor is 3.3757e+22 atoms/cm^3.\n",
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"=========FINAL ANSWER=========\n",
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"\n",
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"\n",
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"=========FINAL ANSWER=========\n",
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"Question 8b:\n",
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"6.940e-02 1/cm^2\n",
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"=========FINAL ANSWER=========\n",
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"\n"
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]
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}
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@ -542,13 +622,83 @@
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"source": [
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"Pu239_density = 13.4 #g/cm^3\n",
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"v = 2.88\n",
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"Sigma_f = 1.8 #barns\n",
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"Sigma_a = 2.1 #barns\n",
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"sigma_f = 1.8e-24 #cm^2\n",
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"sigma_a = 2.1e-24 #cm^2\n",
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"D = 1.5 #cm\n",
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"\n",
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"# Part A\n",
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"N_Pu239 = 100/100*Pu239_density*6.0221409e23/Pu239_mass\n",
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"answer_print('Question 8a', f'The atomic density of Pu239 in this reactor is {N_Pu239:.4e} atoms/cm^3.')\n"
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"answer_print('Question 8a', f'The atomic density of Pu239 in this reactor is {N_Pu239:.4e} atoms/cm^3.')\n",
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"\n",
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"# Part B\n",
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"Sigma_f = sigma_f*N_Pu239 #1/cm\n",
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"Sigma_a = sigma_a*N_Pu239 #1/cm\n",
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"B_m_squared = (v*Sigma_f - Sigma_a)/D \n",
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"answer_print('Question 8b', f'{B_m_squared:.3e} 1/cm^2')"
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]
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},
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{
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"cell_type": "markdown",
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"id": "d1f1ccd1-c3d5-4148-8bdc-98c217239698",
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"metadata": {},
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"source": [
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"**Part C:**\n",
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"\n",
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"For K = 1, $B_g^2 = B_m^2$:\n",
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"$$ \\left( \\frac{\\pi}{R} \\right)^2 = \\frac{v \\Sigma_f - \\Sigma_a}{D} $$\n",
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"$$ \\left( \\frac{\\pi}{R} \\right) = \\sqrt{ \\frac{v \\Sigma_f - \\Sigma_a}{D} }$$\n",
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"$$ R = \\frac{\\pi} {\\sqrt{ \\frac{v \\Sigma_f - \\Sigma_a}{D} }}$$"
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]
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},
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{
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"cell_type": "code",
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"execution_count": 13,
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"id": "31086745-dd3a-401a-b4f4-a65b4e6214d0",
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"metadata": {},
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"outputs": [
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{
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"name": "stdout",
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"output_type": "stream",
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"text": [
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"\n",
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"=========FINAL ANSWER=========\n",
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"Question 8c:\n",
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"1.192e+01 cm\n",
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"=========FINAL ANSWER=========\n",
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"\n",
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"\n",
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"=========FINAL ANSWER=========\n",
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"Question 8d:\n",
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"9.518e+04 kg\n",
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"=========FINAL ANSWER=========\n",
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"\n"
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]
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}
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],
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"source": [
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"R = np.pi/(B_m_squared)**(1/2)\n",
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"answer_print('Question 8c', f'{R:.3e} cm')\n",
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"\n",
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"# Part D\n",
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"critical_mass = Pu239_density*(4/3*np.pi*R**3)\n",
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"answer_print('Question 8d', f'{critical_mass:.3e} kg')"
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]
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},
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{
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"cell_type": "markdown",
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"id": "5e3c047b-ada8-4893-b670-00bca9e02741",
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"metadata": {},
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"source": [
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"========FINAL ANSWER==========\n",
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"\n",
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"**Part E**\n",
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"\n",
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"If radius decreases:\n",
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"1. Mateiral buckling will **stay the same**.\n",
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"2. Geometric buckling will **increase**.\n",
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"3. Multiplication factor will **decrease**. \n",
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"\n",
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"========FINAL ANSWER=========="
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]
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},
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{
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@ -566,7 +716,7 @@
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},
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{
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"cell_type": "code",
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"execution_count": 18,
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"execution_count": 14,
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"id": "c0c96c53-4ef8-4367-9d7c-0d9688aff15d",
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"metadata": {},
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"outputs": [
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@ -220,7 +220,7 @@
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{
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"cell_type": "code",
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"execution_count": 6,
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"id": "2f9c5cdb-d0ca-4eb9-9b6f-a1c6617db5d1",
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"id": "8321b879-f036-4bf7-a1de-25ae9c496e11",
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"metadata": {},
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"outputs": [
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{
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@ -232,20 +232,6 @@
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"Question 3a:\n",
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"7.06700e-03 amu\n",
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"=========FINAL ANSWER=========\n",
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"\n",
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"\n",
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"=========FINAL ANSWER=========\n",
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"Question 3b:\n",
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"The kinetic energy is 6.58291e+00 MeV. \n",
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"This reaction releases energy.\n",
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"=========FINAL ANSWER=========\n",
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"\n",
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"\n",
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"=========FINAL ANSWER=========\n",
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"Question 3c:\n",
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"The difference is significant. Without electrons, the result is 7.60570e+00 MeV. \n",
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"There is 15.54% difference between the two answers.\n",
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"=========FINAL ANSWER=========\n",
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"\n"
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]
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}
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@ -261,18 +247,62 @@
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"reactants = 1*U238_mass + 1*neutron_mass\n",
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"change_in_mass = reactants - products\n",
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"\n",
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"answer_print('Question 3a', f'{change_in_mass:.5e} amu')\n",
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"answer_print('Question 3a', f'{change_in_mass:.5e} amu')"
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]
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},
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{
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"cell_type": "code",
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"execution_count": 7,
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"id": "71567a2c-c14b-45f6-88da-d96d51310c7c",
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"metadata": {},
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"outputs": [
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{
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"name": "stdout",
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"output_type": "stream",
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"text": [
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"\n",
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"=========FINAL ANSWER=========\n",
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"Question 3b:\n",
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"The kinetic energy is 6.58291e+00 MeV. \n",
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"This reaction releases energy.\n",
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"=========FINAL ANSWER=========\n",
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"\n"
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]
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}
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],
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"source": [
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"# Part B\n",
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"Q = change_in_mass * 931.5 #MeV\n",
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"answer_print('Question 3b', f'The kinetic energy is {Q:.5e} MeV. \\nThis reaction releases energy.')\n",
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"answer_print('Question 3b', f'The kinetic energy is {Q:.5e} MeV. \\nThis reaction releases energy.')"
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]
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},
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{
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"cell_type": "code",
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"execution_count": 8,
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"id": "63b91372-56d8-4433-9885-1f06a99d5435",
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"metadata": {},
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"outputs": [
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{
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"name": "stdout",
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"output_type": "stream",
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"text": [
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"\n",
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"=========FINAL ANSWER=========\n",
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"Question 3c:\n",
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"The difference is significant. Without electrons, the result is 7.60570e+00 MeV. \n",
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"There is 15.54% difference between the two answers.\n",
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"=========FINAL ANSWER=========\n",
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"\n"
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]
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}
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],
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"source": [
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"# Part C\n",
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"new_change_in_mass = reactants - 1*Pu239_mass #amu\n",
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"new_Q = new_change_in_mass * 931.5 #MeV\n",
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"percent_difference = (new_Q - Q)/Q *100\n",
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"\n",
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"answer_print('Question 3c', f'The difference is significant. Without electrons, the result is {new_Q:.5e} MeV. \\nThere is {percent_difference:.2f}% difference between the two answers.')\n"
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"answer_print('Question 3c', f'The difference is significant. Without electrons, the result is {new_Q:.5e} MeV. \\nThere is {percent_difference:.2f}% difference between the two answers.')"
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]
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},
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{
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},
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{
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"cell_type": "code",
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"execution_count": 7,
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"execution_count": 9,
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"id": "8d9faf3b-aac3-4a1f-9d07-464ea77d3290",
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"metadata": {},
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"outputs": [
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},
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{
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"cell_type": "code",
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"execution_count": 8,
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"id": "2612afc1-e0dc-4078-a792-b83e946af822",
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"execution_count": 10,
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"id": "b328c58b-948b-4b5d-ae2a-fdd59d77208b",
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"metadata": {},
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"outputs": [
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{
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"Beryllium-9 Binding Energy: 8.4417e+03MeV\n",
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"Helium-4 Binding Energy: 2.8296e+01MeV\n",
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"=========FINAL ANSWER=========\n",
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"\n",
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"\n",
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"=========FINAL ANSWER=========\n",
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"Question 5b:\n",
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"8.3814e+03 MeV\n",
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"=========FINAL ANSWER=========\n",
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"\n"
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]
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}
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"answer_print('Question 5a',\n",
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" f'Lithium-6 Binding Energy: {binding_energy(3, 3, Li6_mass):.4e} MeV\\n'+\n",
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" f'Beryllium-9 Binding Energy: {binding_energy(4, 5, Be9_mass):.4e}MeV\\n'+\n",
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" f'Helium-4 Binding Energy: {binding_energy(2, 2, He4_mass):.4e}MeV')\n",
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" f'Helium-4 Binding Energy: {binding_energy(2, 2, He4_mass):.4e}MeV')"
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]
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},
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{
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"cell_type": "code",
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"execution_count": 11,
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"id": "cc50b7a9-75ce-4095-b0c7-d35fad787c10",
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"metadata": {},
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"outputs": [
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{
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"name": "stdout",
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"output_type": "stream",
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"text": [
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"\n",
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"=========FINAL ANSWER=========\n",
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"Question 5b:\n",
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"8.3814e+03 MeV\n",
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"=========FINAL ANSWER=========\n",
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"\n"
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]
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}
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],
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"source": [
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"# Part B\n",
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"reactants = binding_energy(3, 3, Li6_mass) + binding_energy(2, 2, He4_mass)\n",
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"products = binding_energy(4, 5, Be9_mass)\n",
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"Q = products - reactants\n",
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"\n",
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"answer_print('Question 5b', f'{Q:.4e} MeV')\n"
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"answer_print('Question 5b', f'{Q:.4e} MeV')"
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]
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},
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{
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@ -422,8 +467,31 @@
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},
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{
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"cell_type": "code",
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"execution_count": 10,
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"id": "efab76fa-fbc8-4ea4-9d4f-f5790b0cfeb1",
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"execution_count": 12,
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"id": "6ba0ed78-d681-49d6-a662-9548abd61e22",
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"metadata": {},
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"outputs": [],
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"source": [
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"# Part A\n",
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"Phi_times_Sigma_f = 3.9e13 #fission/cm^3/s\n",
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"E_r = 200 * 1.60218e-13 #J/fission\n",
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"a = 40 #cm"
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]
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},
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{
|
||||
"cell_type": "markdown",
|
||||
"id": "80ce855c-127a-4cdd-93b8-dddb5531c1e6",
|
||||
"metadata": {},
|
||||
"source": [
|
||||
"$$\\phi(8) = \\frac{P \\pi}{2a E_r \\Sigma_f} \\cos\\left(\\frac{\\pi 8}{40}\\right)$$\n",
|
||||
"\n",
|
||||
"$$\\frac{ \\phi(8) \\Sigma_f E_r 2 a}{\\pi \\cos \\left( \\frac{\\pi 8}{40} \\right)} = P$$"
|
||||
]
|
||||
},
|
||||
{
|
||||
"cell_type": "code",
|
||||
"execution_count": 13,
|
||||
"id": "24dbc2ce-fcf2-49d8-9a01-044c468bc223",
|
||||
"metadata": {},
|
||||
"outputs": [
|
||||
{
|
||||
@ -433,21 +501,72 @@
|
||||
"\n",
|
||||
"=========FINAL ANSWER=========\n",
|
||||
"Question 6a:\n",
|
||||
"1.249700e+03 J\n",
|
||||
"3.933584e+04 W/cm^2\n",
|
||||
"=========FINAL ANSWER=========\n",
|
||||
"\n"
|
||||
]
|
||||
}
|
||||
],
|
||||
"source": [
|
||||
"# Part A\n",
|
||||
"F_dot = 3.9e13 #fission/cm^3/s\n",
|
||||
"E_r = 200 * 1.60218e-13 #J\n",
|
||||
"#According to INL: https://mooseframework.inl.gov/bison/theory/power_burnup.html\n",
|
||||
"P_local = F_dot * E_r\n",
|
||||
"answer_print('Question 6a', f'{P_local:4e} J')\n",
|
||||
"P = Phi_times_Sigma_f * E_r * 2 * a / np.pi / np.cos(np.pi*8/40)\n",
|
||||
"answer_print('Question 6a', f'{P:4e} W/cm^2')"
|
||||
]
|
||||
},
|
||||
{
|
||||
"cell_type": "markdown",
|
||||
"id": "f68df535-4c3a-4e1c-a413-98c8154eb041",
|
||||
"metadata": {},
|
||||
"source": [
|
||||
"**Part B**\n",
|
||||
"$$ \\phi(20) \\Sigma_f = \\frac{P \\pi}{2a E_r} \\cos \\left( \\frac{\\pi}{2} \\right) $$\n",
|
||||
"$$ \\phi(20) \\Sigma_f = \\frac{P \\pi}{2a E_r} \\times 0 $$\n",
|
||||
"\n",
|
||||
"# Part B\n"
|
||||
"\n",
|
||||
"========FINAL ANSWER==========\n",
|
||||
"\n",
|
||||
"$\\phi(20) \\Sigma_f = 0$\n",
|
||||
"\n",
|
||||
"========FINAL ANSWER==========\n"
|
||||
]
|
||||
},
|
||||
{
|
||||
"cell_type": "markdown",
|
||||
"id": "dd015a5c-da4d-446d-81a9-67bcff242a1f",
|
||||
"metadata": {},
|
||||
"source": [
|
||||
"**Part C**\n",
|
||||
"\n",
|
||||
"$$P(x) = \\phi(x) \\Sigma_f E_r = \\frac{P \\pi}{2a E_r} \\cos \\left( \\frac{\\pi x}{a} \\right) \\times E_r $$\n",
|
||||
"$$P(x) = \\frac{P \\pi}{2a} \\cos \\left( \\frac{\\pi x}{a} \\right) $$\n",
|
||||
"\n",
|
||||
"========FINAL ANSWER==========\n",
|
||||
"\n",
|
||||
"$P(x) = \\frac{P \\pi}{2a} \\cos \\left( \\frac{\\pi x}{a} \\right)$\n",
|
||||
"\n",
|
||||
"where\n",
|
||||
"\n",
|
||||
"$P = 3933.6 \\frac{\\text{W}}{\\text{cm}^2}$\n",
|
||||
"\n",
|
||||
"$a = 40 \\text{cm}$\n",
|
||||
"\n",
|
||||
"$E_r = 200 \\text{MeV} \\times 1.60218\\times 10^{-13} \\frac{\\text{J}}{\\text{MeV}}$\n",
|
||||
"\n",
|
||||
"========FINAL ANSWER=========="
|
||||
]
|
||||
},
|
||||
{
|
||||
"cell_type": "markdown",
|
||||
"id": "8166199c-3072-429c-85da-4fd93e06bb11",
|
||||
"metadata": {},
|
||||
"source": [
|
||||
"**Part D**\n",
|
||||
"\n",
|
||||
"\n",
|
||||
"========FINAL ANSWER==========\n",
|
||||
"\n",
|
||||
"I should get the value I obtained in Part A!\n",
|
||||
"\n",
|
||||
"========FINAL ANSWER=========="
|
||||
]
|
||||
},
|
||||
{
|
||||
@ -465,7 +584,7 @@
|
||||
},
|
||||
{
|
||||
"cell_type": "code",
|
||||
"execution_count": 27,
|
||||
"execution_count": 14,
|
||||
"id": "e669dab3-ef9a-460e-8fbc-9a99bbad623b",
|
||||
"metadata": {},
|
||||
"outputs": [
|
||||
@ -522,8 +641,8 @@
|
||||
},
|
||||
{
|
||||
"cell_type": "code",
|
||||
"execution_count": 29,
|
||||
"id": "f3570a43-0a14-44c4-9237-e3e1f595535d",
|
||||
"execution_count": 15,
|
||||
"id": "3ab2c1cd-b8d0-488a-8e5a-c90e1efddeec",
|
||||
"metadata": {},
|
||||
"outputs": [
|
||||
{
|
||||
@ -542,13 +661,119 @@
|
||||
"source": [
|
||||
"Pu239_density = 13.4 #g/cm^3\n",
|
||||
"v = 2.88\n",
|
||||
"Sigma_f = 1.8 #barns\n",
|
||||
"Sigma_a = 2.1 #barns\n",
|
||||
"sigma_f = 1.8e-24 #cm^2\n",
|
||||
"sigma_a = 2.1e-24 #cm^2\n",
|
||||
"D = 1.5 #cm\n",
|
||||
"\n",
|
||||
"# Part A\n",
|
||||
"N_Pu239 = 100/100*Pu239_density*6.0221409e23/Pu239_mass\n",
|
||||
"answer_print('Question 8a', f'The atomic density of Pu239 in this reactor is {N_Pu239:.4e} atoms/cm^3.')\n"
|
||||
"answer_print('Question 8a', f'The atomic density of Pu239 in this reactor is {N_Pu239:.4e} atoms/cm^3.')"
|
||||
]
|
||||
},
|
||||
{
|
||||
"cell_type": "code",
|
||||
"execution_count": 16,
|
||||
"id": "bd9ae0ce-d115-4842-8bb5-b4e049f74fd3",
|
||||
"metadata": {},
|
||||
"outputs": [
|
||||
{
|
||||
"name": "stdout",
|
||||
"output_type": "stream",
|
||||
"text": [
|
||||
"\n",
|
||||
"=========FINAL ANSWER=========\n",
|
||||
"Question 8b:\n",
|
||||
"6.940e-02 1/cm^2\n",
|
||||
"=========FINAL ANSWER=========\n",
|
||||
"\n"
|
||||
]
|
||||
}
|
||||
],
|
||||
"source": [
|
||||
"# Part B\n",
|
||||
"Sigma_f = sigma_f*N_Pu239 #1/cm\n",
|
||||
"Sigma_a = sigma_a*N_Pu239 #1/cm\n",
|
||||
"B_m_squared = (v*Sigma_f - Sigma_a)/D \n",
|
||||
"answer_print('Question 8b', f'{B_m_squared:.3e} 1/cm^2')"
|
||||
]
|
||||
},
|
||||
{
|
||||
"cell_type": "markdown",
|
||||
"id": "d1f1ccd1-c3d5-4148-8bdc-98c217239698",
|
||||
"metadata": {},
|
||||
"source": [
|
||||
"**Part C:**\n",
|
||||
"\n",
|
||||
"For K = 1, $B_g^2 = B_m^2$:\n",
|
||||
"$$ \\left( \\frac{\\pi}{R} \\right)^2 = \\frac{v \\Sigma_f - \\Sigma_a}{D} $$\n",
|
||||
"$$ \\left( \\frac{\\pi}{R} \\right) = \\sqrt{ \\frac{v \\Sigma_f - \\Sigma_a}{D} }$$\n",
|
||||
"$$ R = \\frac{\\pi} {\\sqrt{ \\frac{v \\Sigma_f - \\Sigma_a}{D} }}$$"
|
||||
]
|
||||
},
|
||||
{
|
||||
"cell_type": "code",
|
||||
"execution_count": 17,
|
||||
"id": "4fd471e0-69f4-42d3-a0d1-0e2c08ac7c4d",
|
||||
"metadata": {},
|
||||
"outputs": [
|
||||
{
|
||||
"name": "stdout",
|
||||
"output_type": "stream",
|
||||
"text": [
|
||||
"\n",
|
||||
"=========FINAL ANSWER=========\n",
|
||||
"Question 8c:\n",
|
||||
"1.192e+01 cm\n",
|
||||
"=========FINAL ANSWER=========\n",
|
||||
"\n"
|
||||
]
|
||||
}
|
||||
],
|
||||
"source": [
|
||||
"R = np.pi/(B_m_squared)**(1/2)\n",
|
||||
"answer_print('Question 8c', f'{R:.3e} cm')"
|
||||
]
|
||||
},
|
||||
{
|
||||
"cell_type": "code",
|
||||
"execution_count": 18,
|
||||
"id": "fe2be15c-3e0f-45ce-9d4d-183aff3b2754",
|
||||
"metadata": {},
|
||||
"outputs": [
|
||||
{
|
||||
"name": "stdout",
|
||||
"output_type": "stream",
|
||||
"text": [
|
||||
"\n",
|
||||
"=========FINAL ANSWER=========\n",
|
||||
"Question 8d:\n",
|
||||
"9.518e+04 kg\n",
|
||||
"=========FINAL ANSWER=========\n",
|
||||
"\n"
|
||||
]
|
||||
}
|
||||
],
|
||||
"source": [
|
||||
"# Part D\n",
|
||||
"critical_mass = Pu239_density*(4/3*np.pi*R**3)\n",
|
||||
"answer_print('Question 8d', f'{critical_mass:.3e} kg')"
|
||||
]
|
||||
},
|
||||
{
|
||||
"cell_type": "markdown",
|
||||
"id": "5e3c047b-ada8-4893-b670-00bca9e02741",
|
||||
"metadata": {},
|
||||
"source": [
|
||||
"**Part E**\n",
|
||||
"\n",
|
||||
"========FINAL ANSWER==========\n",
|
||||
"\n",
|
||||
"If radius decreases:\n",
|
||||
"1. Mateiral buckling will **stay the same**.\n",
|
||||
"2. Geometric buckling will **increase**.\n",
|
||||
"3. Multiplication factor will **decrease**. \n",
|
||||
"\n",
|
||||
"========FINAL ANSWER=========="
|
||||
]
|
||||
},
|
||||
{
|
||||
@ -566,7 +791,7 @@
|
||||
},
|
||||
{
|
||||
"cell_type": "code",
|
||||
"execution_count": 18,
|
||||
"execution_count": 19,
|
||||
"id": "c0c96c53-4ef8-4367-9d7c-0d9688aff15d",
|
||||
"metadata": {},
|
||||
"outputs": [
|
||||
|
||||
Loading…
x
Reference in New Issue
Block a user