725:, and industrial process modelling, among others. For some, the techniques, particularly the qualitative rheological trends, can yield the classification of materials based on the main interactions between different possible elementary components and how they qualitatively affect the rheological behavior of the materials. Novel applications of these concepts include measuring cell mechanics in thin layers, especially in drug screening contexts.
1286:
1189:
Khan, M.; Steinman, D.; Valen-Sendstad, K. (September 2016). "Non-Newtonian versus numerical rheology: Practical impact of shear-thinning on the prediction of stable and unstable flows in intracranial aneurysms".
668:
and their derivatives. The techniques used are experimental. Rheometry investigates materials in relatively simple flows like steady shear flow, small amplitude oscillatory shear, and extensional flow.
794:
1192:
80:
1238:
Chen, Kaihui; Wang, Yu; Xuan, Shouhu; Gong, Xinglong (March 2017). "A hybrid molecular dynamics study on the non-Newtonian rheological behaviors of shear thickening fluid".
1162:
Antonsik, A.; Gluszek, M.; Zurowski, R.; Szafran, M. (June 2017). "Influence of carrier fluid on the electrokinetic and rheological properties of shear thickening fluids".
875:
843:
907:
1307:
945:
of a shear thickening fluid are simulated, and shear is applied. These particles create hydroclusters which exert a drag force resisting flow.
672:
The choice of the adequate experimental technique depends on the rheological property which has to be determined. This can be the steady shear
629:
1240:
1103:
Bashir, Khawaja
Muhammad Imran; Lee, Suhyang; Jung, Dong Hee; Basu, Santanu Kumar; Cho, Man-Gi; Wierschem, Andreas (2022-06-23).
941:
A method for testing the behavior of shear thickening fluids is stochastic rotation dynamics-molecular dynamics (SRD-MD). The
741:
687:
For all real materials, the measured property will be a function of the flow conditions during which it is being measured (
933:. Using High-Resolution solution strategies, the results when using non-Newtonian rheology were found to be negligible.
1087:
1054:
1026:
622:
36:
595:
296:
133:
1336:
926:
615:
336:
222:
291:
200:
83:
207:
1341:
1296:
979:
964:
711:
707:
502:
497:
286:
279:
112:
1074:
Rheometry of Pastes, Suspensions, and
Granular Materials: Applications in Industry and Environment
695:, etc.) even if for some materials this dependence is vanishingly low under given conditions (see
959:
565:
560:
229:
117:
1079:
540:
158:
1071:
854:
822:
1249:
665:
378:
195:
175:
163:
107:
8:
954:
914:
886:
580:
428:
321:
27:
1253:
660:
properties of materials, that is the qualitative and quantitative relationships between
656: 'stream') generically refers to the experimental techniques used to determine the
1217:
1139:
1104:
600:
234:
190:
185:
1346:
1265:
1209:
1144:
1126:
1083:
1072:
1050:
1022:
217:
168:
714:, as it is the primary method to quantify the useful properties of these materials.
1303:
1257:
1221:
1201:
1175:
1171:
1134:
1116:
696:
661:
555:
530:
443:
418:
413:
368:
974:
722:
718:
681:
545:
469:
433:
383:
314:
303:
248:
150:
1261:
846:
646:
550:
408:
373:
274:
180:
1330:
1130:
590:
423:
1269:
1213:
1148:
1017:
Malkin, Aleksandr Iď¸ A︡kovlevich; Malkin, Alexander; Isayev, Avraam (2006).
677:
575:
570:
535:
267:
1121:
994:
703:
657:
585:
488:
969:
688:
507:
403:
1205:
1193:
International
Journal for Numerical Methods in Biomedical Engineering
989:
692:
673:
479:
308:
1105:"Narrow-Gap Rheometry: A Novel Method for Measuring Cell Mechanics"
984:
930:
878:
458:
363:
343:
329:
733:
The viscosity of a non-Newtonian fluid is defined by a power law:
942:
212:
1285:
353:
1161:
257:
16:
Experimental techniques used to study fluid flow (rheology)
1188:
393:
1310:
to it so that it can be listed with similar articles.
889:
857:
825:
789:{\displaystyle \eta =\eta _{0}{\dot {\gamma }}^{n-1}}
744:
39:
1049:. London: EOLSS Publications/UNESCO. pp. 7–8.
1016:
901:
869:
837:
788:
74:
1102:
1328:
1237:
717:Rheometry is considered useful in the fields of
925:Due to the shear thinning properties of blood,
623:
1078:. Hoboken, NJ: Wiley-Interscience. pp.
1021:. Toronto: ChemTec Publishing. p. 241.
1019:Rheology: Concepts, Methods and Applications
680:properties (complex viscosity respectively
75:{\displaystyle J=-D{\frac {d\varphi }{dx}}}
936:
917:in order to investigate their properties.
913:In rheometry, shear forces are applied to
728:
630:
616:
1138:
1120:
805:is the viscosity after shear is applied,
1241:Journal of Colloid and Interface Science
1233:
1231:
1044:
920:
1069:
1329:
1182:
1228:
1155:
684:), the elongational properties, etc.
1279:
1040:
1038:
1012:
1010:
929:(CFD) is used to assess the risk of
702:Rheometry is a specific concern for
13:
1295:needs additional or more specific
14:
1358:
1035:
1007:
1284:
1176:10.1016/j.ceramint.2017.06.092
1096:
1063:
1:
1000:
927:computational fluid dynamics
7:
1045:Gallegos, Crispulo (2010).
948:
10:
1363:
1262:10.1016/j.jcis.2017.03.038
1070:Coussot, Philippe (2005).
816:is the shear rate, and if
812:is the initial viscosity,
909:, the fluid is Newtonian.
712:magnetorheological fluids
708:electrorheological fluids
980:Magnetorheological fluid
965:Electrorheological fluid
134:Clausius–Duhem (entropy)
84:Fick's laws of diffusion
960:Dynamic shear rheometer
937:Shear thickening fluids
729:Of non-Newtonian fluids
292:Navier–Stokes equations
230:Material failure theory
1164:Ceramics International
903:
871:
870:{\displaystyle n>1}
839:
838:{\displaystyle n<1}
790:
76:
1122:10.3390/cells11132010
921:Shear thinning fluids
904:
872:
840:
791:
287:Bernoulli's principle
280:Archimedes' principle
77:
915:non-Newtonian fluids
887:
855:
823:
742:
379:Cohesion (chemistry)
201:Infinitesimal strain
37:
1337:Continuum mechanics
1254:2017JCIS..497..378C
1170:(15): 12293–12301.
1047:Rheology - Volume I
955:Continuum mechanics
943:colloidal particles
902:{\displaystyle n=1}
297:Poiseuille equation
28:Continuum mechanics
22:Part of a series on
899:
867:
835:
786:
503:Magnetorheological
498:Electrorheological
235:Fracture mechanics
72:
1325:
1324:
1308:adding categories
771:
640:
639:
515:
514:
449:
448:
218:Contact mechanics
141:
140:
70:
1354:
1320:
1317:
1311:
1288:
1280:
1274:
1273:
1235:
1226:
1225:
1206:10.1002/cnm.2836
1186:
1180:
1179:
1159:
1153:
1152:
1142:
1124:
1100:
1094:
1093:
1077:
1067:
1061:
1060:
1042:
1033:
1032:
1014:
908:
906:
905:
900:
879:shear thickening
876:
874:
873:
868:
844:
842:
841:
836:
795:
793:
792:
787:
785:
784:
773:
772:
764:
760:
759:
697:Newtonian fluids
632:
625:
618:
464:
463:
429:Gay-Lussac's law
419:Combined gas law
369:Capillary action
254:
253:
97:
96:
81:
79:
78:
73:
71:
69:
61:
53:
19:
18:
1362:
1361:
1357:
1356:
1355:
1353:
1352:
1351:
1342:Fluid mechanics
1327:
1326:
1321:
1315:
1312:
1301:
1289:
1278:
1277:
1236:
1229:
1187:
1183:
1160:
1156:
1101:
1097:
1090:
1068:
1064:
1057:
1043:
1036:
1029:
1015:
1008:
1003:
975:Fluid mechanics
951:
939:
923:
888:
885:
884:
877:, the fluid is
856:
853:
852:
845:, the fluid is
824:
821:
820:
810:
774:
763:
762:
761:
755:
751:
743:
740:
739:
731:
723:process control
719:quality control
682:elastic modulus
636:
607:
606:
605:
525:
517:
516:
470:Viscoelasticity
461:
451:
450:
438:
388:
384:Surface tension
348:
251:
249:Fluid mechanics
241:
240:
239:
153:
151:Solid mechanics
143:
142:
94:
86:
62:
54:
52:
38:
35:
34:
17:
12:
11:
5:
1360:
1350:
1349:
1344:
1339:
1323:
1322:
1316:September 2024
1292:
1290:
1283:
1276:
1275:
1227:
1181:
1154:
1095:
1088:
1062:
1055:
1034:
1027:
1005:
1004:
1002:
999:
998:
997:
992:
987:
982:
977:
972:
967:
962:
957:
950:
947:
938:
935:
922:
919:
911:
910:
898:
895:
892:
882:
866:
863:
860:
850:
847:shear thinning
834:
831:
828:
808:
799:
798:
797:
796:
783:
780:
777:
770:
767:
758:
754:
750:
747:
730:
727:
638:
637:
635:
634:
627:
620:
612:
609:
608:
604:
603:
598:
593:
588:
583:
578:
573:
568:
563:
558:
553:
548:
543:
538:
533:
527:
526:
523:
522:
519:
518:
513:
512:
511:
510:
505:
500:
492:
491:
485:
484:
483:
482:
477:
472:
462:
457:
456:
453:
452:
447:
446:
440:
439:
437:
436:
431:
426:
421:
416:
411:
406:
400:
397:
396:
390:
389:
387:
386:
381:
376:
374:Chromatography
371:
366:
360:
357:
356:
350:
349:
347:
346:
327:
326:
325:
306:
294:
289:
277:
264:
261:
260:
252:
247:
246:
243:
242:
238:
237:
232:
227:
226:
225:
215:
210:
205:
204:
203:
198:
188:
183:
178:
173:
172:
171:
161:
155:
154:
149:
148:
145:
144:
139:
138:
137:
136:
128:
127:
123:
122:
121:
120:
115:
110:
102:
101:
95:
92:
91:
88:
87:
82:
68:
65:
60:
57:
51:
48:
45:
42:
31:
30:
24:
23:
15:
9:
6:
4:
3:
2:
1359:
1348:
1345:
1343:
1340:
1338:
1335:
1334:
1332:
1319:
1309:
1305:
1299:
1298:
1293:This article
1291:
1287:
1282:
1281:
1271:
1267:
1263:
1259:
1255:
1251:
1247:
1243:
1242:
1234:
1232:
1223:
1219:
1215:
1211:
1207:
1203:
1199:
1195:
1194:
1185:
1177:
1173:
1169:
1165:
1158:
1150:
1146:
1141:
1136:
1132:
1128:
1123:
1118:
1114:
1110:
1106:
1099:
1091:
1089:9780471653691
1085:
1081:
1076:
1075:
1066:
1058:
1056:9781848267695
1052:
1048:
1041:
1039:
1030:
1028:9781895198331
1024:
1020:
1013:
1011:
1006:
996:
993:
991:
988:
986:
983:
981:
978:
976:
973:
971:
968:
966:
963:
961:
958:
956:
953:
952:
946:
944:
934:
932:
928:
918:
916:
896:
893:
890:
883:
880:
864:
861:
858:
851:
848:
832:
829:
826:
819:
818:
817:
815:
811:
804:
781:
778:
775:
768:
765:
756:
752:
748:
745:
738:
737:
736:
735:
734:
726:
724:
720:
715:
713:
709:
705:
700:
698:
694:
690:
685:
683:
679:
676:, the linear
675:
670:
667:
663:
659:
655:
651:
648:
644:
633:
628:
626:
621:
619:
614:
613:
611:
610:
602:
599:
597:
594:
592:
589:
587:
584:
582:
579:
577:
574:
572:
569:
567:
564:
562:
559:
557:
554:
552:
549:
547:
544:
542:
539:
537:
534:
532:
529:
528:
521:
520:
509:
506:
504:
501:
499:
496:
495:
494:
493:
490:
487:
486:
481:
478:
476:
473:
471:
468:
467:
466:
465:
460:
455:
454:
445:
442:
441:
435:
432:
430:
427:
425:
422:
420:
417:
415:
414:Charles's law
412:
410:
407:
405:
402:
401:
399:
398:
395:
392:
391:
385:
382:
380:
377:
375:
372:
370:
367:
365:
362:
361:
359:
358:
355:
352:
351:
345:
342:
338:
335:
331:
328:
323:
322:non-Newtonian
320:
316:
312:
311:
310:
307:
305:
302:
298:
295:
293:
290:
288:
285:
281:
278:
276:
273:
269:
266:
265:
263:
262:
259:
256:
255:
250:
245:
244:
236:
233:
231:
228:
224:
221:
220:
219:
216:
214:
211:
209:
208:Compatibility
206:
202:
199:
197:
196:Finite strain
194:
193:
192:
189:
187:
184:
182:
179:
177:
174:
170:
167:
166:
165:
162:
160:
157:
156:
152:
147:
146:
135:
132:
131:
130:
129:
125:
124:
119:
116:
114:
111:
109:
106:
105:
104:
103:
100:Conservations
99:
98:
90:
89:
85:
66:
63:
58:
55:
49:
46:
43:
40:
33:
32:
29:
26:
25:
21:
20:
1313:
1294:
1245:
1239:
1200:(7): e2836.
1197:
1191:
1184:
1167:
1163:
1157:
1115:(13): 2010.
1112:
1108:
1098:
1073:
1065:
1046:
1018:
940:
924:
912:
813:
806:
802:
800:
732:
716:
704:smart fluids
701:
686:
678:viscoelastic
671:
653:
650:
642:
641:
489:Smart fluids
474:
434:Graham's law
340:
333:
318:
304:Pascal's law
300:
283:
271:
126:Inequalities
1248:: 378–384.
995:Smart fluid
658:rheological
508:Ferrofluids
409:Boyle's law
181:Hooke's law
159:Deformation
1331:Categories
1297:categories
1001:References
970:Ferrofluid
689:shear rate
645:(from
561:Gay-Lussac
524:Scientists
424:Fick's law
404:Atmosphere
223:frictional
176:Plasticity
164:Elasticity
1131:2073-4409
990:Rheometer
931:aneurysms
779:−
769:˙
766:γ
753:η
746:η
693:frequency
674:viscosity
643:Rheometry
601:Truesdell
531:Bernoulli
480:Rheometer
475:Rheometry
315:Newtonian
309:Viscosity
59:φ
47:−
1347:Rheology
1304:help out
1270:28314143
1214:27696717
1149:35805094
985:Rheology
949:See also
706:such as
662:stresses
459:Rheology
364:Adhesion
344:Pressure
330:Buoyancy
275:Dynamics
113:Momentum
1302:Please
1250:Bibcode
1222:4554875
1140:9265971
666:strains
654:(rheos)
546:Charles
354:Liquids
268:Statics
213:Bending
1268:
1220:
1212:
1147:
1137:
1129:
1086:
1053:
1025:
801:where
596:Stokes
591:Pascal
581:Navier
576:Newton
566:Graham
541:Cauchy
444:Plasma
339:
337:Mixing
332:
317:
299:
282:
270:
258:Fluids
191:Strain
186:Stress
169:linear
118:Energy
1218:S2CID
1109:Cells
649:
647:Greek
571:Hooke
551:Euler
536:Boyle
394:Gases
1266:PMID
1210:PMID
1145:PMID
1127:ISSN
1084:ISBN
1051:ISBN
1023:ISBN
862:>
830:<
710:and
664:and
652:ῥÎος
586:Noll
556:Fick
108:Mass
93:Laws
1306:by
1258:doi
1246:497
1202:doi
1172:doi
1135:PMC
1117:doi
699:).
1333::
1264:.
1256:.
1244:.
1230:^
1216:.
1208:.
1198:33
1196:.
1168:43
1166:.
1143:.
1133:.
1125:.
1113:11
1111:.
1107:.
1082:.
1037:^
1009:^
721:,
691:,
1318:)
1314:(
1300:.
1272:.
1260::
1252::
1224:.
1204::
1178:.
1174::
1151:.
1119::
1092:.
1080:2
1059:.
1031:.
897:1
894:=
891:n
881:,
865:1
859:n
849:,
833:1
827:n
814:Îł
809:0
807:η
803:η
782:1
776:n
757:0
749:=
631:e
624:t
617:v
341:·
334:·
324:)
319:·
313:(
301:·
284:·
272:·
67:x
64:d
56:d
50:D
44:=
41:J
Text is available under the Creative Commons Attribution-ShareAlike License. Additional terms may apply.