Non-Newtonian fluid flow induced by peristaltic waves in a curved channel

European Journal of Mechanics, B/Fluids

Volumn 29, Issue 5, 2010, Pages 387-394

  Ali, N ^a   Sajid, M ^b   Abbas, Z ^a   Javed, T ^a  

^a INTERNATIONAL ISLAMIC UNIVERSITY   (Pakistan)

^b PAKISTAN INSTITUTE OF NUCLEAR SCIENCE AND TECHNOLOGY   (Pakistan)

Author keywords

Curved channel; Non Newtonian flow; Peristalsis; Trapping

Indexed keywords

CONSTITUTIVE RELATIONSHIPS; CURVED CHANNELS; LONG WAVELENGTH; LOW REYNOLDS NUMBER; MATHEMATICA; NEWTONIAN FLUIDS; NON-NEWTONIAN; NON-NEWTONIAN FLUID FLOW; NON-NEWTONIAN FLUIDS; NONLINEAR ORDINARY DIFFERENTIAL EQUATION; NONLINEAR PARTIAL DIFFERENTIAL EQUATIONS; PERISTALTIC WAVES; PRESSURE RISE; SHEAR RATES; SHEAR THICKENING; SHOOTING METHODS; STRAIGHT CHANNEL; STREAMFUNCTIONS; THIRD GRADE FLUIDS;

FLOW MEASUREMENT; FLUIDS; HYDRAULICS; NEWTONIAN FLOW; NON NEWTONIAN LIQUIDS; NONLINEAR EQUATIONS; ORDINARY DIFFERENTIAL EQUATIONS; PARTIAL DIFFERENTIAL EQUATIONS; PUMPS; REYNOLDS NUMBER; RHEOLOGY; SHEAR DEFORMATION; VELOCITY MEASUREMENT; VISCOUS FLOW;

NON NEWTONIAN FLOW;

EID: 77953692873     PISSN: 09977546     EISSN: None     Source Type: Journal    
DOI: 10.1016/j.euromechflu.2010.04.002     Document Type: Article

References (20)

1. Shapiro A.H., Jaffrin M.Y., and Weinberg S.L. Peristaltic pumping with long wavelength at low Reynolds number. J. Fluid Mech. 37 (1969) 799-825
2. Fung Y.C., and Yih C.S. Peristaltic transport. Trans. ASME J. Appl. Mech. 33 (1968) 669-675
3. Raju K.K., and Devanathan R. Peristaltic motion of non-Newtonian, Part-I. Rheol. Acta 11 (1972) 170-178
4. Raju K.K., and Devanathan R. Peristaltic motion of non-Newtonian, Part-I: Viscoelastic. Rheol. Acta 13 (1974) 944-948
5. Siddiqui A.M., and Schwarz W.H. Peristaltic pumping of a third order fluid in a planer channel. Rheol. Acta 32 (1993) 47-56
6. Siddiqui A.M., Provost A., and Schwarz W.H. Peristaltic flow of a second order fluid in tubes. J. Non-Newtonian Fluid Mech. 53 (1994) 257-284
7. Mekheimer Kh.S., Shehawey E.F.E., and Alaw A.M. Peristaltic motion of a particle fluid suspension in a planar channel. Internat. J. Theoret. Phys. 37 (1998) 2895-2920
8. Mekheimer Kh.S. Peristaltic transport of a couple-stress fluid in uniform and non-uniform channels. Biorheology 39 (2002) 755-765
9. Mekheimer Kh.S. Peristaltic flow of blood under effect of a magnetic field in non-uniform channels. Appl. Math. Comput. 153 (2004) 763-777
10. Hayat T., Wang Y., Siddiqui A.M., Hutter K., and Asghar S. Peristaltic transport of a third order fluid in a circular cylindrical tube. Math. Models Methods Appl. Sci. 12 (2002) 1691-1706
11. Hayat T., Wang Y., Siddiqui A.M., and Hutter K. Peristaltic motion of Johnson-Segalman fluid in a planar channel. Math. Probl. Eng. 1 (2003) 1-23
12. Hayat T., Wang Y., Hutter K., Asghar S., and Siddiqui A.M. Peristaltic transport of an Oldroyd-B fluid in a planar channel. Math. Probl. Eng. 4 (2004) 347-376
13. Wang Y., Hayat T., and Hutter K. Peristaltic flow of a Johnson-Segalman fluid through a deformable tube. Theor. Comput. Fluid Dyn. 21 (2007) 369-380
14. Haroun M.H. Effect of Deborah number and phase difference on peristaltic transport of a third-order fluid in an asymmetric channel. Comm. Non-linear Sci. Numer. Simul. 8 (2007) 1464-1480
15. Ali N., and Hayat T. Peristaltic motion of a Carreau fluid in an asymmetric channel. Appl. Math. Comput. 193 (2007) 535-552
16. Kothandapani M., and Srinivas S. Non-linear peristaltic transport of a Newtonian fluid in an inclined asymmetric channel through a porous medium. Phys. Lett. A 372 (2008) 1265-1276
17. Sato H., Kawai T., Fujita T., and Okabe M. Two dimensional peristaltic flow in curved channels. Trans. The Japan Soc. Mech. Eng. B 66 (2000) 679-685
18. Ali N., Sajid M., and Hayat T. Long wavelength flow analysis in a curved channel. Z. Naturforsch. 65a (2010) 191-196
19. Fosdick R.L., and Rajagopal K.R. Thermodynamics and Stability of Fluids of Third Grade. Proc. R. Soc. Lond. Ser. A 339 (1980) 351
20. Dunn J.E., and Rajagopal K.R. Fluid of differential type: Critical review and thermodynamic analysis. Internat. J. Engrg. Sci. 33 (1995) 689-729