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1 | 1 | function [t,X,tau_del] = f_new(ti_star,tf_star,xi,vars,tau_del) |
2 | 2 |
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3 | 3 | % global NT Pext_type Pext_Amp_Freq disptime Tgrad Tmgrad ... |
4 | | - % comp t0 neoHook nhzen sls linkv k chi fom foh We Br A_star ... |
| 4 | + % comp t0 neoHook nhzen sls linkv k chi Fom Foh We Br A_star ... |
5 | 5 | % B_star Rv_star Ra_star L L_heat_star Km_star P_inf T_inf C_star ... |
6 | 6 | % De deltaY yk deltaYm xk yk2 Pv REq D_Matrix_T_C DD_Matrix_T_C ... |
7 | 7 | % D_Matrix_Tm DD_Matrix_Tm Ca Re |
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21 | 21 | linkv=vars{13}; |
22 | 22 | k=vars{14}; |
23 | 23 | chi=vars{15}; |
24 | | - fom=vars{16}; |
25 | | - foh=vars{17}; |
| 24 | + Fom=vars{16}; |
| 25 | + Foh=vars{17}; |
26 | 26 | We=vars{18}; |
27 | 27 | Br=vars{19}; |
28 | 28 | A_star=vars{20}; |
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61 | 61 | Uc = sqrt(P_inf/rho); |
62 | 62 |
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63 | 63 | Br = xi(2*NT+NTM+5); |
64 | | - foh = xi(2*NT+NTM+6); |
| 64 | + Foh = xi(2*NT+NTM+6); |
65 | 65 |
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66 | 66 | % Ca = P_inf./(xi(2*NT+NTM+7)); |
67 | 67 | % Re = (P_inf*R0)./((xi(2*NT+NTM+8)).*Uc); |
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85 | 85 |
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86 | 86 | xf = [X(end,:)'; |
87 | 87 | Br; |
88 | | - foh; |
| 88 | + Foh; |
89 | 89 | xi(2*NT+NTM+7:end)]; |
90 | 90 | xf(3) = log(xf(3)); |
91 | 91 |
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160 | 160 | B = 1.17e-2; %(W/m-K)Thermal Conductivity coeff |
161 | 161 | K_infy = A*T_inf+B; |
162 | 162 | Dm = Km_star*(K_infy) ./ (rho*Cp); |
163 | | - foh = Dm/(Uc*R0); |
| 163 | + Foh = Dm/(Uc*R0); |
164 | 164 |
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165 | 165 | % This is commented out in this version for simplification |
166 | 166 |
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213 | 213 | %*************************************** |
214 | 214 | % Internal pressure equation |
215 | 215 | %pdot = 3/R*(Tgrad*chi*(k-1)*DTau(end)/R - k*P*U +... |
216 | | - % + Cgrad*k*P*fom*Rv_star*DC(end)/( T(end)*R* Rmix(end)* (1-C(end)) ) ); |
| 216 | + % + Cgrad*k*P*Fom*Rv_star*DC(end)/( T(end)*R* Rmix(end)* (1-C(end)) ) ); |
217 | 217 | pdot = 3/R*(Tgrad*chi*(k-1)*DTau(end)/R - k*P*U +... |
218 | | - + Cgrad*k*P*fom*Rv_star*DC(end)/( R* Rmix(end)* (1-C(end)) )) ; |
| 218 | + + Cgrad*k*P*Fom*Rv_star*DC(end)/( R* Rmix(end)* (1-C(end)) )) ; |
219 | 219 | % ***************************************** |
220 | 220 |
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221 | 221 | %*************************************** |
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230 | 230 |
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231 | 231 | % Temperature of the gas inside the bubble |
232 | 232 | % U_vel = (chi/R*(k-1).*DTau-yk*R*pdot/3)/(k*P); |
233 | | - U_vel = (chi/R*(k-1).*DTau-yk*R*pdot/3)/(k*P) + fom/R*(Rv_star-Ra_star)./Rmix.*DC; |
| 233 | + U_vel = (chi/R*(k-1).*DTau-yk*R*pdot/3)/(k*P) + Fom/R*(Rv_star-Ra_star)./Rmix.*DC; |
234 | 234 | first_term = ((DDTau ).*chi./R^2+pdot).*(K_star.*T/P*(k-1)/k); |
235 | 235 | second_term = -DTau.*(U_vel-yk*U)./R; |
236 | | - third_term = fom./(R.^2) *(Rv_star-Ra_star)./Rmix .* DC .*DTau; |
| 236 | + third_term = Fom./(R.^2) *(Rv_star-Ra_star)./Rmix .* DC .*DTau; |
237 | 237 |
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238 | 238 | Tau_prime = first_term + second_term + third_term; |
239 | 239 | % if Tmgrad == 0 |
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248 | 248 |
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249 | 249 | %*************************************** |
250 | 250 | % Vapor concentration equation |
251 | | - %U_mix = U_vel + fom/R*((Rv_star - Ra_star)./Rmix).*DC; |
| 251 | + %U_mix = U_vel + Fom/R*((Rv_star - Ra_star)./Rmix).*DC; |
252 | 252 | %one = DDC; |
253 | 253 | %two = DC.*(DTau./(K_star.*T)+((Rv_star - Ra_star)./Rmix).*DC ); |
254 | 254 | %three = (U_mix-U.*yk)/R.*DC; |
255 | 255 | % |
256 | | - % C_prime = fom/R^2*(one - two) - three; |
| 256 | + % C_prime = Fom/R^2*(one - two) - three; |
257 | 257 | % C_prime(end) = 0; |
258 | 258 | % C_prime = C_prime*Cgrad; |
259 | 259 |
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260 | 260 | % Vapor concentration equation |
261 | 261 | U_mix = U_vel; |
262 | | - % + fom/R*((Rv_star - Ra_star)./Rmix).*DC; |
| 262 | + % + Fom/R*((Rv_star - Ra_star)./Rmix).*DC; |
263 | 263 | one = DDC; |
264 | 264 | % % JY!!! % |
265 | 265 | %two = DC.*( -((Rv_star - Ra_star)./Rmix).*DC - DTau./(K_star.*T) ); |
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271 | 271 |
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272 | 272 | three = (U_mix-U.*yk)/R.*DC; |
273 | 273 |
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274 | | - % % JY!!! % C_prime = fom/R^2*(one - two) - three; |
275 | | - C_prime = fom/R^2*(one+two) - three; |
| 274 | + % % JY!!! % C_prime = Fom/R^2*(one - two) - three; |
| 275 | + C_prime = Fom/R^2*(one+two) - three; |
276 | 276 | C_prime(end) = 0; |
277 | 277 | C_prime = C_prime*Cgrad; |
278 | 278 | %***************************************** |
279 | 279 |
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280 | 280 | %*************************************** |
281 | 281 | % Material temperature equations |
282 | | - %first_term = (1+xk).^2./(L*R).*(U./yk2.^2.*(1-yk2.^3)/2+foh/R.*((xk+1)/(2*L)-1./yk2)).* DTm; |
283 | | - %second_term = foh/R^2.*(xk+1).^4/L^2.*DDTm/4; |
| 282 | + %first_term = (1+xk).^2./(L*R).*(U./yk2.^2.*(1-yk2.^3)/2+Foh/R.*((xk+1)/(2*L)-1./yk2)).* DTm; |
| 283 | + %second_term = Foh/R^2.*(xk+1).^4/L^2.*DDTm/4; |
284 | 284 | %third_term = 3*Br./yk2.^6.*(4/(3*Ca).*(1-1/R^3)+4.*U/(Re.*R)).*U./R; |
285 | 285 | %Tm_prime = first_term+second_term+third_term; |
286 | 286 | %Tm_prime(end) = 0; % Sets boundary condition on temp |
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289 | 289 | %Tm_prime = Tm_prime*Tmgrad; %Tmgrad makes this quantity zero |
290 | 290 |
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291 | 291 | % Material temperature equations |
292 | | - first_term = (1+xk).^2./(L*R).*(U./yk2.^2.*(1-yk2.^3)/2+foh/R.*((xk+1)/(2*L)-1./yk2)).* DTm; |
293 | | - second_term = foh/(R^2).*(xk+1).^4/L^2.*(DDTm)/4; %JY??? |
| 292 | + first_term = (1+xk).^2./(L*R).*(U./yk2.^2.*(1-yk2.^3)/2+Foh/R.*((xk+1)/(2*L)-1./yk2)).* DTm; |
| 293 | + second_term = Foh/(R^2).*(xk+1).^4/L^2.*(DDTm)/4; %JY??? |
294 | 294 | % % JY!!! third_term = 3*Br./yk2.^6.*(4/(3*Ca).*(1-1/R^3)+4.*U/(Re.*R)).*U./R; |
295 | 295 |
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296 | 296 | third_term = 3*Br./yk2.^6.*(4.*U/(Re.*R)).*U./R; |
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567 | 567 |
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568 | 568 | Tauw =chi*(2*Km_star/L*(coeff*[TW(prelim); Tm_trans] )/deltaYm) +... |
569 | 569 | chi*(-coeff*[prelim ;T_trans] )/deltaY + Cgrad*... |
570 | | - fom*L_heat_star*P*( (CW(TW(prelim),P)*(Rv_star-Ra_star)+Ra_star))^-1 *... |
| 570 | + Fom*L_heat_star*P*( (CW(TW(prelim),P)*(Rv_star-Ra_star)+Ra_star))^-1 *... |
571 | 571 | (TW(prelim) * (1-CW(TW(prelim),P)) ).^(-1).*... |
572 | 572 | (-coeff*[CW(TW(prelim),P); |
573 | 573 | C_trans] )/deltaY; |
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