471:, which is concerned with turbulent heat transfer rather than turbulent mass transfer. It is useful for solving the mass transfer problem of turbulent boundary layer flows. The simplest model for Sct is the Reynolds analogy, which yields a turbulent Schmidt number of 1. From experimental data and CFD simulations, Sct ranges from 0.2 to 6.
199:
108:
933:
Contigiani, C. C.; Colli, A. N.; GonzĂĄlez PĂ©rez, O.; Bisang, J. M. (April 2020). "The Effect of a
Conical Inner Electrode on the Mass-transfer Behavior in a Cylindrical Electrochemical Reactor under Single-Phase and Two-Phase (Gas-Liquid) Swirling Flow".
571:
396:
844:
Colli, A. N.; Bisang, J. M. (July 2019). "Time-dependent mass-transfer behaviour under laminar and turbulent flow conditions in rotating electrodes: A CFD study with analytical and experimental validation".
194:{\displaystyle \mathrm {Sc} ={\frac {\nu }{D}}={\frac {\mu }{\rho D}}={\frac {\mbox{viscous diffusion rate}}{\mbox{molecular (mass) diffusion rate}}}={\frac {\mathrm {Pe} }{\mathrm {Re} }}}
244:
467:
The turbulent
Schmidt number describes the ratio between the rates of turbulent transport of momentum and the turbulent transport of mass (or any passive scalar). It is related to the
1082:
77:
431:
888:
Colli, A. N.; Bisang, J. M. (January 2020). "Coupling k
Convection-Diffusion and Laplace Equations in an Open-Source CFD Model for Tertiary Current Distribution Calculations".
602:
807:
Colli, A. N.; Bisang, J. M. (January 2018). "A CFD Study with
Analytical and Experimental Validation of Laminar and Turbulent Mass-Transfer in Electrochemical Reactors".
655:
687:
624:
457:
1075:
497:
1427:
1068:
1432:
345:
1026:
1010:
762:"The effect of rotation on rapidly sheared homogeneous turbulence and passive scalar transport. Linear theory and direct numerical simulation"
1051:
1091:
744:
214:
487:. Gustav Schmidt of the German Polytechnic Institute of Prague published an analysis in 1871 for the now-famous
1237:
707:
407:
72:, and it is used to characterize fluid flows in which there are simultaneous momentum and mass diffusion
434:
1030:
1007:
977:
Donzis, D. A.; Aditya, K.; Sreenivasan, K. R.; Yeung, P. K. (2014). "The
Turbulent Schmidt Number".
1314:
1297:
582:
468:
1437:
1292:
631:
1192:
488:
866:
28:
662:
1147:
1060:
943:
854:
773:
736:
95:. It physically relates the relative thickness of the hydrodynamic layer and mass-transfer
53:
20:
1152:
8:
316:
247:
65:
1217:
947:
858:
777:
339:
The turbulent
Schmidt number is commonly used in turbulence research and is defined as:
1401:
1187:
1127:
959:
915:
870:
789:
609:
442:
61:
1356:
1321:
1102:
1045:
963:
919:
874:
793:
740:
267:
1406:
1277:
1262:
1227:
1137:
990:
951:
905:
897:
862:
824:
816:
781:
320:
257:
69:
1282:
1371:
1351:
1309:
1304:
1132:
1014:
566:{\displaystyle \mathrm {Sc} ={\frac {\sum {\left|{Q}\right|}}{{\bar {p}}V_{sw}}}}
480:
296:
1381:
1361:
1346:
1287:
1272:
1247:
1242:
1232:
1212:
1202:
1167:
1112:
955:
460:
308:
96:
35:
24:
785:
1421:
1391:
1386:
1376:
1366:
1331:
1326:
1267:
1207:
1197:
1177:
1172:
1142:
1107:
484:
391:{\displaystyle \mathrm {Sc} _{\mathrm {t} }={\frac {\nu _{\mathrm {t} }}{K}}}
304:
287:
1396:
1336:
1252:
1222:
1182:
1157:
1117:
324:
84:
1257:
1162:
1122:
901:
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829:
73:
994:
986:
932:
761:
205:
277:
88:
57:
49:
1090:
976:
491:
solution for an idealized isothermal
Stirling engine model.
16:
Ratio of a fluid's kinematic viscosity to mass diffusivity
926:
225:
161:
156:
881:
837:
800:
665:
634:
612:
585:
500:
445:
410:
348:
217:
111:
970:
681:
649:
618:
596:
565:
451:
425:
390:
238:
193:
1419:
847:International Journal of Heat and Mass Transfer
730:
731:Incropera, Frank P.; DeWitt, David P. (1990),
626:is the heat transferred into the working fluid
76:processes. It was named after German engineer
1076:
887:
843:
806:
705:
334:
239:{\displaystyle \nu ={\tfrac {\mu }{\rho }}}
1083:
1069:
759:
909:
828:
657:is the mean pressure of the working fluid
1428:Dimensionless numbers of fluid mechanics
1092:Dimensionless numbers in fluid mechanics
867:10.1016/j.ijheatmasstransfer.2019.03.152
1433:Dimensionless numbers of thermodynamics
483:, the Schmidt number is related to the
91:) to the diffusivity for mass transfer
83:The Schmidt number is the ratio of the
1420:
1050:: CS1 maint: archived copy as title (
936:Journal of the Electrochemical Society
890:Journal of the Electrochemical Society
809:Journal of the Electrochemical Society
733:Fundamentals of Heat and Mass Transfer
87:for diffusivity (viscosity divided by
1064:
307:analog of the Schmidt number is the
270:of the fluid (Pa·s = N·s/m = kg/m·s)
1008:Schmidt Analysis (updated 12/05/07)
474:
426:{\displaystyle \nu _{\mathrm {t} }}
13:
689:is the volume swept by the piston.
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116:
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987:https://doi.org/10.1115/1.4026619
1019:
163:molecular (mass) diffusion rate
1001:
753:
724:
699:
641:
541:
78:Ernst Heinrich Wilhelm Schmidt
1:
979:Journal of Fluids Engineering
693:
597:{\displaystyle \mathrm {Sc} }
7:
10:
1454:
706:tec-science (2020-05-10).
650:{\displaystyle {\bar {p}}}
18:
1098:
786:10.1017/s0022112005006427
956:10.1149/1945-7111/ab8477
469:turbulent Prandtl number
335:Turbulent Schmidt Number
760:Brethouwer, G. (2005).
19:For the measure of the
683:
682:{\displaystyle V_{sw}}
651:
620:
598:
567:
453:
427:
392:
240:
195:
158:viscous diffusion rate
737:John Wiley & Sons
684:
652:
621:
604:is the Schmidt number
599:
568:
454:
428:
393:
241:
196:
29:Schmidt decomposition
902:10.1149/2.0132001JES
821:10.1149/2.0971802jes
663:
632:
610:
583:
498:
443:
408:
346:
215:
109:
62:momentum diffusivity
54:dimensionless number
21:quantum entanglement
948:2020JElS..167h3501C
859:2019IJHMT.137..835C
778:2005JFM...542..305B
317:thermal diffusivity
280:of the fluid (kg/m)
248:kinematic viscosity
66:kinematic viscosity
1238:KeuleganâCarpenter
1013:2008-05-18 at the
679:
647:
616:
594:
563:
449:
423:
388:
236:
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102:It is defined as:
1415:
1414:
995:10.1115/1.4026619
746:978-0-471-51729-0
644:
619:{\displaystyle Q}
561:
544:
452:{\displaystyle K}
437:in units of (m/s)
386:
268:dynamic viscosity
233:
189:
166:
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1445:
1085:
1078:
1071:
1062:
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1041:
1039:
1038:
1029:. Archived from
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1017:
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974:
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749:
735:(3rd ed.),
728:
722:
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719:
718:
708:"Schmidt number"
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481:Stirling engines
475:Stirling engines
461:eddy diffusivity
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315:). The ratio of
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70:mass diffusivity
47:
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1448:
1447:
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1443:
1442:
1418:
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1416:
1411:
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1089:
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1043:
1042:
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1034:
1027:"Archived copy"
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1024:
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1015:Wayback Machine
1006:
1002:
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747:
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343:
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312:
297:Reynolds Number
292:
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224:
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213:
212:
181:
173:
171:
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141:
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123:
112:
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92:
85:shear component
56:defined as the
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1438:Fluid dynamics
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799:
752:
745:
723:
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676:
673:
669:
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485:specific power
476:
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448:
438:
435:eddy viscosity
419:
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336:
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309:Prandtl number
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97:boundary layer
40:Schmidt number
36:fluid dynamics
25:density matrix
15:
9:
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1033:on 2009-04-26
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766:J. Fluid Mech
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402:
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366:
342:
341:
340:
332:
326:
322:
318:
310:
306:
305:heat transfer
298:
291:
289:
288:Peclet Number
282:
279:
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262:
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249:
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80:(1892â1975).
79:
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71:
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1031:the original
1021:
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911:11336/150891
893:
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711:
701:
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478:
466:
400:
338:
325:Lewis number
302:
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1402:Weissenberg
853:: 835â846.
830:11336/90612
772:: 305â342.
712:tec-science
489:closed-form
1422:Categories
1322:Richardson
1103:Archimedes
1037:2008-04-29
896:: 013513.
717:2020-06-25
694:References
204:where (in
74:convection
1407:Womersley
1298:turbulent
1278:Ohnesorge
1263:Marangoni
1228:Iribarren
1153:Damköhler
1138:Capillary
964:219085593
920:208732876
875:132955462
794:120121519
750:Eq. 6.71.
642:¯
542:¯
516:∑
413:ν
373:ν
231:ρ
228:μ
219:ν
143:ρ
139:μ
126:ν
42:(denoted
1382:Suratman
1372:Strouhal
1352:Sherwood
1315:magnetic
1310:Reynolds
1305:Rayleigh
1293:magnetic
1133:Brinkman
1046:cite web
1011:Archived
206:SI units
1362:Stanton
1357:Shields
1347:Scruton
1342:Schmidt
1288:Prandtl
1273:Nusselt
1248:Laplace
1243:Knudsen
1233:Kapitza
1218:Görtler
1213:Grashof
1203:Galilei
1168:Deborah
1113:Bagnold
944:Bibcode
855:Bibcode
774:Bibcode
576:where:
459:is the
433:is the
401:where:
323:is the
295:is the
286:is the
278:density
276:is the
266:is the
256:is the
246:is the
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1392:Ursell
1387:Taylor
1377:Stuart
1367:Stokes
1332:Rossby
1327:Roshko
1283:PĂ©clet
1268:Morton
1208:Graetz
1198:Froude
1188:Eötvös
1178:Eckert
1173:Dukhin
1143:Cauchy
1108:Atwood
962:
918:
873:
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743:
463:(m/s).
260:(m/s).
68:) and
38:, the
27:, see
1397:Weber
1337:Rouse
1253:Lewis
1223:Hagen
1193:Euler
1183:Ekman
1158:Darcy
1118:Bejan
985:(6):
960:S2CID
916:S2CID
871:S2CID
790:S2CID
250:(m/s)
58:ratio
52:is a
50:fluid
23:of a
1258:Mach
1163:Dean
1128:Bond
1123:Biot
1052:link
741:ISBN
479:For
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