Effect of Couple Stress Fluid on Peristaltic Motion in a Uniform and Non-Uniform Annulus

International Journal of Computer & Organization Trends (IJCOT)          
© 2013 by IJCOT Journal
Volume- 3 Issue- 6                           
Year of Publication :  2013
Authors :V.P.Rathod , Asha.S.K


V.P.Rathod , Asha.S.K . "Effect of Couple Stress Fluid on Peristaltic Motion in a Uniform and Non-Uniform Annulus " . International Journal of Computer & organization Trends (IJCOT), V3(6):1-9 Nov - Dec 2013, ISSN 2249-2593, www.ijcotjournal.org. Published by Seventh Sense Research Group.

Abstract—Peristalsis is now well known to physiologists to be one of the major mechanisms for fluid transport in many biological systems. In particular, a mechanism may be involved in swallowing food through the esophagus, in urine transport form the kidney to the bladder through the urethra, in movement of chyme in the gastro –intestinal tract, in the transport of spermatozoa in the ductus efferent of the male reproductive tracts and in the cervical canal, in movement of ovum in the female fallopian tubes, in the transport of lymph in the lymphatic vessels, and in the vasomotion of small blood vessel such as arterioles, venules and capillaries. In addition, peristaltic pumping occurs in many practical applications involving biomechanical system. Also, finger and roller pumps are frequently used for pumping corrosive or very pure materials so as to prevent direct contact of the fluid with the pump’s internal surfaces.


[1] T.D Brown and T.K Hung, “ Computational and Experimental Investigations of Two Dimensional Non-Linear Peristaltic Flows”, J.Fluid Mech.,(83), pp. 24, (1977).
[2] Cotton P.B and Williams C.B,“Practical Gastrointestinal Endoscopy”London Oxford University Press Third Edition, (1990).Paper Received 18 March 2003,Revised 12 October 2003; Accepted 13 January , (2004).
[3] Elshehawey L.T and Kh.S.Mekheimer, “Couple stress in Peristaltic Transport of Fuids” J.Phys, D: Appl. Phys,. (27), p.1163, (1994).
[4] Gupta B.B.and Sheshadri V,“Peristalic pumping in Non-Uniform tubes”,J.Biomech.9, pp. 105-109. (1976)
[5] Kh.S.Mekheimer Elsayed, L.El. Shehawey, and A.M.Elaw,“Peristaltic Motion of a Particle fluid Suspension in a Planar Channel”, Int.J. of Theor .Phys. (IJTP) ,37 (11), p. 2895 (1998).
[6] Kh.S.Mekhemier,“Non Linear Peristaltic Transport a Porous Medium in an Inclined Planar Channel”, J.Porous .Media, 6(3), pp. 189-201 (2003),.
[7] Kh.S.Mekhemier,“Non-Linear Peristaltic Transport of Magneto-Hydrodynamic Flow in an Inclined Planar Channel” AISE , 28 (2A) pp 183-201(2003).
[8] Kh.S.Mekhemier,“Peristaltic Tranport of a Couple Stress fluid in a Uniform and Non-Uniform Channels”, Biorheol., 39 pp 755-765(2002).
[9] Latham T.W “ Fluid Motion in a Peristaltic Pump”, M.Sc.Thesis ,MIT, Cambridge MA (1966).
[10] Lee J.S. and.Hung Y.C, “ Flow in Non–UniformSmallBlood Vessel”,Microcir.Res.,3 pp. 272-279 (1971).
[11] Ramachandra R.A and Usha S “Peristaltic Transport of Two Immiscible Viscous Fluids in a Circular Tube”, J.Fluid Mech., 298 p.271 (1995).
[12] Shapiro H.A, Jaffrin M.Y , and Weinberg S.L“Peristaltic pumping Long Wavelength at Low Reynolds Number” J.Fluid Mech., 37 pp. 799-825 (1969).
[13] Srivastava L.M and Srivastava V.P, “Peristaltic Tranport of Blood Casson-II”, J.Biomech. 17p. 821-829(1984).
[14] Srivastava L.M.and Srivastava V.P “Peristaltic Transport of a Power-Law Fluid Application to the Ductus Efferentes of the Reproducative Tract” Rheo.Acta, 27 pp 428-433 (1988).
[15] Srivastava L.M.and Srivastava V.P and Sinha S.K, “Peristaltic Transport of a Physiological Fluid: Part I Flow in Non- Uniform Geometry” Biorheol., 20 pp.428-433 (1983).
[16] Srivastava V.P and M.Saxena, “A Two Fluid Model of Non-Newtonian Blood FlowInduced by Peristaltic Waves”. Rheol.Acta, 33 p.111 (1994).
[17] Takabatake S and Ayukawa K. “Peristaltic Pumping in Circular Cylindrical Tubes a Numerical Study of Fluid Transport and its Efficiency”, J. Fluid Mech., 193(1988)
[18] Takabatake S and Ayukawa K, (1982), “Numerical Study of two Dimensional PeristalticFlows”, J. Fluid Mech.,122 p 439.
[19] Tang D.and Shen M,“Non Stationary peristaltic and transport of a heat conducting Fluid”, J.of Math. Anal. And Appl., 174 (1) p 265 (1993).
[20] Wiedeman M.P,“Dimension of Blood Vessel from Distributing Artery to collecting Vein”Circ. Res., 12, pp 375-381 (1963).
[21] Zien T.T and Ostrach S.A,“A Long Wave Approximation to Peristaltic Motion” J.Biomech,3, p.63 (1970)
[22] Asha.S.K and Rathod. V.P “Peristaltic transport of a magnetic fluid in a Uniform and Non-Uniform Annulus” International journal of mathematical Arcive -2(12),pp 1-11 (2011)
[23] Rathod. V.P and Laxmi Devindrappa”Slip effect on peristaltic transport of a porous medium in an asymmetric vertical channel by Adomian decomposition method” International Journal of Mathematical Archive, 4(3), 133-141(2013).