Peristaltic flow through a porous medium in an annulus: Application of an endoscope

Applied Mathematics and Information Sciences

Volumn 2, Issue 1, 2008, Pages 103-121

  Mekheimer, Kh S ^a   Abd Elmaboud, Y ^b  

^a Al Azhar University   (Egypt)

^b AL AZHAR UNIVERSITY   (Egypt)

Author keywords

Endoscope; Peristaltic flow; Porous medium; Pressure rise

Indexed keywords

EID: 57249114249     PISSN: 19350090     EISSN: 23250399     Source Type: Journal    
DOI: None     Document Type: Article

References (23)

1. A.H. Shapiro, M.Y. Jaffrin, S.L.Weinberg, Peristaltic pumping with long wavelengths at low Reynolds number, J. Fluid Mech. 37 (1969), 799-825.
2. T.F. Zien and S.A. Ostrach, A long wave approximation to peristaltic motion, J. Biomech. 3 (1970), 63-75.
3. E.F. El Shehawey and Kh.S. Mekheimer, Couple-stresses in peristaltic transport of fluids, J. Phys. D: Appl. Phys. 27 (1994), 1163-1170.
4. R.A Ramachandra and S. Usha, Peristaltic transport of two immiscible viscous fluids in a circular tube, J. Fluid Mech. 298 (1995), 271-285.
5. Kh.S. Mekheimer, E.F. El Shehawey, A.M. Elaw, Peristaltic motion of a particle-fluid suspension in a planar channel, Int. J. Theor. Phys. 37 (1998), 2895-2919.
6. Kh.S. Mekheimer, Non-linear peristaltic transport through a porous medium in an inclined planar channel, J. Porous Medium 6 (2003), 189-201.
7. Kh.S. Mekheimer, Peristaltic transport of a couple-stress fluid in a uniform and nonuniform channels, Biorheology, 39 (2002),755-765.
8. Kh.S. Mekheimer, Non-linear peristaltic transport of magneto-hydrodynamic flow in an inclined planar channel, AJSE 28 (2003), 183-201.
9. K. Vajravelu, S. Sreenadh and V. R. Babu, Peristaltic transport of a Herschel-Bulkley fluid in an inclined tube, International Journal of Non-Linear Mechanics 40 (2005) 83-90.
10. Abd El Hakeem Abd El Naby, A. E. M. El Misery and M. F. Abd El Kareem, Effects of a magnetic field on trapping through peristaltic motion for generalized Newtonian fluid in channel, Physica A 367 (2006) 79-92.
11. T. W. Latham, Fluid Motion in a Peristaltic Pump, M.Sc. Thesis, MIT, Cambridge, MA, 1966.
12. S. Takabatake and K. Ayukawa, Numerical study of two dimensional peristaltic flows, J. Fluid Mech. 122 (1982) 439-465.
13. S. Takabatake, K. Ayukawa and A. Mori, Peristaltic pumping in circular cylindrical tubes: A numerical study of fluid transport and its efficiency, J. Fluid Mech. 193 (1988) 267-233.
14. D. Tang and M. Shen, Non-stationary peristaltic and transport of a heat-conducting fluid, J. Math. Anal. Appl. 174 (1993) 265-289.
15. T.D. Brown and T. K. Hung, Computational and experimental investigations of twodimensional nonlinear peristaltic flows, J. Fluid Mech. 83 (1977), 249-272.
16. B. V. Rathish Kumar and K. B. Naidu, A numerical study of peristaltic flows, Computers and Fluids 24 (1995), 161-176.
17. C. Arthur and M. D. Guyton, Medical physiolgy, 7th edn., W.B. Saunders Company 1992.
18. A. Rapits, N. Kafousias and C. Massalas, Free Convection and mass transfer flow through a porous medium bounded by an infinite vertical porous plate with constant heat flux, Z. Angew. Math. Mech. 62 (1982), 489-491.
19. C. L. Varshney, The fluctuating flow of a viscous fluid through a porous medium bounded by a porous and horizontal surface, Indian J. Pure Appl. Math. 10 (1979), 1558-1572.
20. Kh.S. Mekheimer and T.H. Al-Arabi, Nonlinear peristaltic transport of MHD flow through a porous medium, International J. of mathematics and mathematical sciences 26 (2003), 1663-1682.
21. Kh.S. Mekheimer, Peristaltic transport of a Newtonian fluid through a uniform and non-uniform annulus, The Arabian J. for Sc. and Eng. 30 (2005), 69-73.
22. Abd El Hakeem Abd El Naby, A. E. M. El Misery and I. I. El Shamy, Effects of an endoscope and fluid with variable viscosity on peristaltic motion, Applied Mathematics and Computation 158 (2004), 497-511.
23. T. Hayat, N. Ali, S. Asghar and A. M. Siddiqui, Exact peristaltic flow in tubes with an endoscope, Applied Mathematics and Computation 182 (2006), 359-368.