PERISTALTIC TRANSPORT OF A MAGNETIC FLUID THROUGH POROUS MEDIA IN A UNIFORM AND NON-UNIFORM ANNULUS

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Asha S.K.

Abstract

The aim of the present investigation is to study the peristaltic transport through the gap between coaxial tubes, where the outer tube is non uniform and the inner tube is rigid. The necessary theoretical results such as viscosity, pressure gradient and friction force on the inner and outer tubes have been obtained in terms of couple stress parameter. Out of these theoretical results the numerical solution of pressure gradient, outer friction, inert friction and flow rate are shown graphically for the better understanding of the problem.\

 

Keyword: Peristaltic transport, Magnetic fluid, porous media.

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How to Cite
S.K., A. (2015). PERISTALTIC TRANSPORT OF A MAGNETIC FLUID THROUGH POROUS MEDIA IN A UNIFORM AND NON-UNIFORM ANNULUS. Journal of Global Research in Mathematical Archives(JGRMA), 2(6), 44–54. Retrieved from https://jgrma.com/index.php/jgrma/article/view/234
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Research Paper

References

A.H.Shapiro,M.Y.Jaffrin, and S.L.Weinberg, “ Peristaltic pumping Long Wave at Low Reynolds Number†J.Fluid Mech., 37(1969), pp. 799-825

T.T.Zien and S.A Ostrach, “ A Long Wave Approximation to Peristaltic Motionâ€, J.Biomech,3 (1970), p.63

L.T. Elshehawey and Kh.S.Mekheimer, “Couple Stress in Peristaltic Transport of Fluids†J.Phys, D: Appl. Phys,. 27 (1994), p.1163.

R.A.Ramachandra and S.Usha, “Peristaltic Transport of Two Immiscible Viscous Fluids in a Circular Tubeâ€, J.Fluid Mech., 298 (1995), p.271

Kh.S.Mekheimer Elsayed, L.El. Shehawey, and A.M.Elaw, “Peristaltic Motion of a Particle fluid Suspension in a Planar Channelâ€, Int.J. of Theor .Phys. (IJTP) , 37 (11)

(1998), p. 2895.

Kh.S.Mekhemier , “ Non Linear Peristaltic Transport a Porous Medium in an Inclined Planar Channelâ€, J.Porous .Media, 6(3), (2003), pp. 189-201.

Kh.S.Mekhemier, “Peristaltic Tranport of a Couple Stress fluid in a Uniform and Non-Uniform Channelsâ€, Biorheol., 39 (2002), pp 755-765.

Kh.S.Mekhemier, “Non-Linear Peristaltic Transport of Magneto-Hydrodynamic Flow in an Inclined Planar Channel†AISE , 28 (2A) (2003)pp 183-201.

S.Takabatake and K.Ayukawa, “Numerical Study of two Dimensional Peristaltic Flows†, J. Fluid Mech.,122 (1982), p 439.

S.Takabatake and K.Ayukawa, “Peristaltic Pumping in Circular Cylindrical Tubes a Numerical Study of Fluid Transport and its Efficiencyâ€, J. FluidMech.,193 (1988).

D.Tang and M.Shen, Non Stationary peristaltic and transport of a heat conducting fluid, J.of Math. Anal. And Appl., 174 (1) (1993), p 265.

T.D.Brown and T.K.Hung,“Computational and Experimental Investigations of Two Dimensional Non-Linear Peristaltic Flowsâ€, J.Fluid Mech., 83 (1977), p. 249.

T.W.Latham , “ Fluid Motion in a Peristaltic Pumpâ€, M.Sc.Thesis ,MIT, Cambridge MA (1966).

L.M.Srivastava and V.P.Srivastava , “ Peristaltic Tranport of Blood Casson-IIâ€, J. Biomech. 17(1984),p. 821-829.

V.P. Srivastava and M.Saxena “A Two Fluid Model of Non-Newtonian Blood Flow Induced by Peristaltic Wavesâ€. Rheol.Acta, 33(1994), p.111.

J.S.Lee and Y.C.Hung “ Flow in Non – Uniform Small Blood Vesselâ€,Microcir. Res.,3 (1971), pp. 272-279.

M.P.Wiedeman, “Dimension of Blood Vessel from Distributing Artery to Collecting Veinâ€Circ. Res., 12(1963), pp 375-381.

S.K.Guha, II.Kaur and A.II.Ahmed , Mechanics of Spermatic Fluid

L.M.Srivastava and V.P.Srivastava , and S.K.Sinha, “ Peristaltic Transport of a Physiological Fluid: Part I Flow in Non- Uniform Geometry†Biorheol., 20 (1983), pp. 428-433.

L.M.Srivastava and V.P.Srivastava, “Peristaltic Transport of a Power-Law Fluid: Application to the Ductus Efferentes of the Reproducative Tract†Rheo.Acta, 27 (1988), pp 428-433.

B.B.Gupta and V.Sheshadri, Peristaltic Pumping in Non-Uniform Tubesâ€, J.Biomech.9 (1976), pp. 105-109.

P.B. Cotton and C.B. Williams, Practical Gastrointestinal Endoscopy, London:Oxford University Press Third Edition, (1990).Paper Received 18 March 2003,Revised 12 October 2003; Accepted 13 January 2004.

Asha S K and V.P.Rathod “Peristaltic Transport of magnetic fluid in Uniform and Non-Uniform Annulus†International journal of Mathematical Archive , 2(12) 2012, pp 1-11.

Asha S K and V.P.Rathod “Effect of magnetic field and an endoscope on peristaltic motion†Advance in applied Science Research, 2(4), 2012, pp 102-109.