Slip effects on the peristaltic flow of a non-Newtonian Maxwellian fluid

Acta Mechanica

Volumn 186, Issue 1-4, 2006, Pages 141-159

  El Shehawy, E F ^a,b   El Dabe, N T ^a,b   El Desoky, I M ^a,c  

^a Ain Shams University ^*

^b Ain Shams University   (Egypt)

^c Menoufia University   (Egypt)

Author keywords

[No Author keywords available]

Indexed keywords

BOUNDARY CONDITIONS; FLOW OF FLUIDS; MAXWELL EQUATIONS; NAVIER STOKES EQUATIONS; PERTURBATION TECHNIQUES; POROUS MATERIALS; VISCOSITY;

KNUDSEN NUMBER; NON-NEWTONIAN MAXWELLIAN FLUID; SLIP EFFECTS;

NON NEWTONIAN FLOW;

EID: 33749338984     PISSN: 00015970     EISSN: None     Source Type: Journal    
DOI: 10.1007/s00707-006-0343-6     Document Type: Article

References (23)

1. Aarts, A. C. T., Ooms, G.: Net flow of compressible viscous liquids induced by traveling waves in porous media. J. Engng. Math. 34, 435-450 (1998).
2. Antanovskii, L. K., Ramkisson, H.: Long wave peristaltic transport of a compressible viscous liquid in a finite pipe subject to a time-dependent pressure drop. Fluid Dyn. Res. 19, 115-123 (1997).
3. Jabbarzadeh, A., Atkinson, J. D., Tanner, R. I.; Effect of the wall roughness on slip and rheological properties of hexadecane in molecular dynamics simulation of Couette shear flow between two sinusoidal walls. Phys. Rev. E 61(1), 690-699 (2000).
4. Kwang, W., Chu, H., Fang, J.: Peristaltic transport in a slip flow. Euro. Phys. J. B 16, 543-547 (2000).
5. Georgiou, G. C., Crochet, M. J.: Compressible viscous flow in slits with slip at the wall. J. Rheol. 38(3), 639-654 (1994).
6. Lu, F., Lee, H. P., Lim, S. P.: Mechanical description of interfacial slips for quartz crystal micro balances with viscoelastic liquid loading. Smart Mater. Struct. 12, 881-898 (2003).
7. Castrejon-Pita, J. R., del Rio, J. A., Castrejon-Pita, A. A., Huelsz, G.: Experimental observation of dramatic differences in the dynamic response of Newtonian and Maxwellian fluids. Phys. Rev. E 68, 046301 (2003).
8. Torralba, M., Castrejon-Pita, A. A., Castrejon-Pita, J. R., Huelsz, G., del Rio, J. A., Ortin, J.: Measurements of the bulk and interfacial velocity profiles in oscillating Newtonian and Maxwellian fluids. Phys. Rev. E 72, 016308 (2005).
9. Roa, I. J., Rajagapol, K. R.: The effect of slip boundary conditions on the flow of fluids in a channel. Acta Mech. 135, 113-126 (1999).
10. Larrode, F. E., Housiadas, C., Drossinos, Y.: Slip-flow heat transfer in circular tubes. Int. J. Heat Mass Transfer 43, 2669-2680 (2000).
11. Chu, W.: Stokes slip flow between corrugated walls. ZAMP 47, 591-598 (1996).
12. Chu, K.-H. W.: Small-Knudsen-number flow in a corrugated tube. Meccanica 34, 133-137 (1999).
13. Kogan, M. N.: Rarefied gas dynamics. New York: Plenum Press 1969.
14. Vasudeviah, A., Balamurugan, K.: Stokes slip flow in a corrugated pipe. Int. J. Engng. Sci. 37, 1629-1641 (1999).
15. Zhu, Y., Granick, S.: Limits of the hydrodynamic no-slip boundary condition. Phys. Rev. Lett. 88(10), 106102 (2002).
16. Yin, F., Fung, Y. C.: Peristaltic waves in circular cylindrical tubes. J. App. Mech. 36, 579-587 (1969).
17. Tsiklauri, D., Beresnev, I.: Non-Newtonian effects in the peristaltic flow of a Maxwell fluid. Phys. Rev. E 64, 036303 (2001).
18. Del Rio, J. A., De Haro, M. L., Whitaker, S.: Enhancement in the dynamic response of a viscoelastic fluid flowing in a tube. Phys. Rev. E 58, 6323-6327 (1998).
19. Anderson, J. D.: Modern compressible flow with historical perspective. McGraw-Hill Publishing Co. 1990.
20. Wang, C. Y.: Stagnation flows with slip: exact solutions of the Navier-Stokes Equations. ZAMP 54, 184-189 (2003).
21. Beavers, G. S., Joseph, D. D.: Boundary conditions at a naturally permeable wall. J. Fluid Mech. 30, 197-207 (1967).
22. Nayfeh, A. H.: Perturbation methods. John Wiley & Sons 1973.
23. Takabatake, S., Ayukawa, K., Mori, A.: Peristaltic pumping in circular cylindrical tubes: a numerical study of fluid transport and its efficiency. J. Fluid Mech. 193, 267-283 (1988).