Prediction of batch heat transfer coefficients for pseudoplastic fluids ...
Prediction of batch heat transfer coefficients for pseudoplastic fluids ... Prediction of batch heat transfer coefficients for pseudoplastic fluids ...
282 . . INl'UT NOMENCLATURE FOR . ANALYSIS PROGRAMS; MULTIPLE VARIABLE,REGRESSION The program solves s~ultaneous equations for the .\ eonstamts (J(O), J(l), J(2), S(3), etc.) ror a correlation of the t:ype .. y II1II J(O) 1- J(l) \-l{l) + J(2) W(2) + J(3) W(3) eo.-t- ORR DA • Paddle position ratio l1li DIAR :: EK - EN II: HI 8i RITE - RITR • JX Impeller diameter _ CENTER HEIGHT OF IMPELLER - LiQufD HEIGnT Diameter ratio = Vessel diameter/impeller diameter Number of independent variables Total number or data points Impeller width Center Height o~ paddle Impeller geometry ratio :: Impeller l.vidth/im.pedler diameter = Number or different values of flow behavior index (or impeller height) to be read in M • Number at data points having srune flow behavior index (or impeller height) RUN II: Run number (ror identi~ication on data card) VCF2 = Viscosity ratio, K/Kw XN II: Flow behavior index X}mu II: XNPR m Nusselt number Pr~dtl number XNRE = Reynolds number
28.J ENGLISH ALPHABET . - ¢,'"'~-=-- a = Constant in eq. C-l b = Constant in eq6 C-l b o ' b l , b 2 , bJ' etc. = Constants called regression coef'f'icients in eq. c-l~_ C = Constant in eq. c-6 K = Fluid consistency index of power law K Q Total number of independent variables in eq. c-4 n x I: Flovl behavior index of pm-rer law = Independent variables Xi = Individual X data values Xl' x 2 ' x J = Independent variables in eq. c-4 -X = Average value of' x L'XI x2 • Z(xl - Xl) (x2 - x2) 2:' Xl Y = l:;{x l Xl) (y - y) Y = Dependent variables 1\ y - A predicted value for y Yi y = Individual data values = Average value of y
- Page 244 and 245: 232 NOMEliCLATURE FOR BEAT TRANSFER
- Page 246 and 247: 2.34- CALCULATED RSSULTS WATER Run
- Page 248 and 249: 2,36 Run Center Diameter h NNu Npo
- Page 250 and 251: 2.38 CALCULAT'ED ~E~:UL'rS ?!ATER P
- Page 252 and 253: CALCULA'rED 1-{E8iiLlJ. 1 S \.;!\.'
- Page 254 and 255: CALC:_:LA'i'ED _12:-)ULTS 24c. ANCH
- Page 256 and 257: CALCULATEDR3SULTS PADDLE - CENTER H
- Page 258 and 259: CALCULATED HESULTS 216 PADDLES - CE
- Page 260 and 261: 248 CALCULATED RESULTS PADDLES - CE
- Page 262 and 263: CALCULATED RE:>ULTS 2. So PADDLf~S
- Page 264 and 265: PADDLES - CALCULATED RE6ULTS CENTSH
- Page 267 and 268: 255 CALCULATED !tESULTS PROPELLERS
- Page 269 and 270: CALCULA'rED RELmL'l'S PROPELLr~RS -
- Page 271 and 272: CALCULATED HESULTS DISK AND VANE ;r
- Page 273 and 274: DISK AND VAI'E .rU~1BINES CALCULATE
- Page 275 and 276: DISK AND VANE '.i.'UR13HiES - CEl'i
- Page 277 and 278: 26S RESULT,:; U:3ED FOR REGRESSION
- Page 279 and 280: of a least squares line can be calc
- Page 281 and 282: 269 (0-9 where y "" log NNu xl = lo
- Page 283 and 284: -------------- -.Basi.c "Progr.a.rr
- Page 285 and 286: -----------~---------- -~----------
- Page 287 and 288: --~-------------- ------ ~~ -------
- Page 289 and 290: Modi fi cati onB-foT' ev:alnatj ng-
- Page 291 and 292: constants forco~~~latjQn F --------
- Page 293: .------~.~~-- ---------------------
- Page 297 and 298: References 2.8S 1. ') L. 3. Lt- •
- Page 299 and 300: 287 56. 57. 58. C:;o ./ / . 60. 61.
- Page 301 and 302: 289 119. 120. 121. 122. 123. 12L~
- Page 303 and 304: 176. 177. 178. 179. 1(30. 181. 182.
28.J<br />
ENGLISH ALPHABET<br />
. - ¢,'"'~-=--<br />
a<br />
= Constant in eq. C-l<br />
b = Constant in eq6 C-l<br />
b o<br />
' b l , b 2 , bJ' etc. = Constants called regression coef'f'icients<br />
in eq. c-l~_<br />
C = Constant in eq. c-6<br />
K<br />
= Fluid consistency index <strong>of</strong> power law<br />
K Q Total number <strong>of</strong> independent variables in eq. c-4<br />
n<br />
x<br />
I: Flovl behavior index <strong>of</strong> pm-rer law<br />
= Independent variables<br />
Xi = Individual X data values<br />
Xl' x 2 ' x J<br />
= Independent variables in eq. c-4<br />
-X = Average value <strong>of</strong>' x<br />
L'XI x2 • Z(xl - Xl) (x2 - x2)<br />
2:' Xl Y = l:;{x l<br />
Xl) (y - y)<br />
Y<br />
= Dependent variables<br />
1\<br />
y - A predicted value <strong>for</strong> y<br />
Yi<br />
y<br />
= Individual data values<br />
= Average value <strong>of</strong> y