Page 394 - Process Modelling and Simulation With Finite Element Methods

Index 381
orifice plate .... 2 17, 2 18. 2 19. 222. 225. Rayleigh-Benard convection ........... 177
226. 227 RC-circuit ........................................ 145
oscillatory disturbance .................... 151 reaction and diffusion equation ......... 44
Reduction of order ............................ 36
parabolic ................................ 63, 65, 70 Reuresentation of vectors ................ 351
parametric continuation .... 18, 107, 113, Resistance coefficients ...................... 63
114, 115, 116, 117, 121, 136, 186, Retrofit .............................. 64. 137. 139
187,209,215,241, 288 root finding ... 23. 24. 25. 28. 29. 30. 59
Parametric continuation ......... 113, 114 Runae-Kutta methods ........................ 34
parametric sensitivity studies..........139
parametric slaving . secant method .................................... 24
Parametric Solver ............................ 186 self-similarity .................................... 74
parametrization ................................ 138 separations.......................................108
particle processing ........................... 245 shell balance....................................145
PDE Toolbox .................................... 28 SIMPLE algorithm..........................332
.........1,3,5,19,23,41,113,
Peclet number .................................. 125 s imulation
periodic boundary conditions ..... 75,78, 114. 123. 137. 139. 173. 174. 177.
105 185. 187. 188. 197. 205. 208. 211.
phenomologically .............................. 63 216.241.246. 270.290.291.294.
physicochemical hydrodynamics ..... 108 297. 298. 300. 302. 303. 304. 305.
platelet ..................................... 217, 227 307.309.310. 332
Point mode ................................. 10, 13 Simulink ....... 5. 137. 140
Point Mode ................... singular ....... 26.27.28.50. 51.52. 53.
Point Settings.............. 54.55. 57

point sources ................. singular value decomposition ...... 552
1.
point-source vortex ....... skewness ............................................ 89
Poisson’s equation Smooth particle hydrodynamics ..... 246.
population balance equations ... 16, 245, 290
246,282, 292 sonochemistry ................................... 75
positive definite ................................. 88 square wave
power ultrasound ............................... 75 Fourier cosine series ..337. 339. 340.
Prandtl number ................................ 109 341
pressure datum.................111, 112, 121 Stepsize too small . Returned solution
Principal Axis Theorem ....... has not converged ......
ProcessEngineering Fundamentals, Satiff Systems ..................
.......................................... stiffness energy .................................. 88
Process integration ....... stiffness matrix ... 18.26. 27. 28.49. 55.
pseudo-advection . 57. 81. 84. 85. 86. 87. 88. 97. 98.
99. 100. 105. 173. 187. 197. 232.
quasi-diffusion ................................ 230 286.288. 327
quasi-linear terms ............................ 105 stoichiometry ..... 40. 144
quasilinearization ............................ 123 stratification ..107,145,152, 156, 157 . 156. 157.
159. 161. 171. 179. 184
Rankine vortex .................................. 66 streaklines . ... 110
Rayleigh number .... 109. 110. 115. 116. streamfunction .... 66. 69. 110. 11 1. 112.
117. 119. 156. 160. 178. 179. 184. 130. 180. 201. 202. 211. 227. 368.
186.188. 190. 192. 215 373