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Influence of Slip Condition on Unsteady Pulsatile Flow Through a Porous Medium in a Circular Pipe
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The unsteady pulsatile flows of a viscous incompressible Newtonian conducting fluid through a porous medium in a circular pipe with slip boundaries are investigated. Main idea of our work is to study these phenomena mathematically and an exact solution of the equation of motion is obtained by applying Bessel function for the axial velocity and shear stress. The effects of permeability parameter (k), Knudsen number (kn) and Womersley parameter (α) on axial velocity and shear stress have been computed graphically.
Keywords
Porous Medium, Pulsatile Flow, Slip Flow Condition, Bessel Function.
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- G. Ahmadi and R. Manvi, Equation of motion for viscous flow through a rigid porous medium, Indian J. Tech. 9 (1971), 441–444.
- Dube, S. N. and Sharma, C. L., (1975). A note on unsteady flow of a dusty viscous fluid in a circular pipe, J. Phy. Soc. Japan. 13(10), pp. 298-310.
- A. Ramachandra Rao and K. S. Deshikachar, Physiological type flow in a circular pipe in the presence of a transverse magnetic field, J. Indian Inst. Sci. 68 (1988), 247–260.
- P. Chaturani and V. Palanisamy, “Pulsatile flow of blood with periodic body acceleration,” International Journal of Engineering Science, vol. 29, no. 1, pp. 113–121, (1991).
- Ritler, J.H. and Peddieson, J., (1997). Transient two phase flows in channels and circular pipes, Proceeding 6th Canadian congress of applied Mechanics.
- Elshehawey, E.F., Elbarbary, E.M.E., Elsoud, A.S.N. and Elshahed, M. (1999) Womersley Problem for Pulsatile Flow of Blood through a Porous Medium. Proceedings of the 6th Conference on Theoretical and Applied Mechanics, Cairo, March 1999, 115-122.
- El-Shehawey, E.F., Elbarbary, E.M.E., Afifi, N.A.S. and Elshahed, M. (2000) MHD Flow of an Elastico-Viscous Fluid under Periodic Body Acceleration. International Journal of Mathematics and Mathematical Sciences, 23, 795-799. http://dx.doi.org/10.1155/S0161171200002817
- Elshehawey, E.F., Elbarbary, E.M.E., Afifi, N.A.S. and El-Shahed, M. (2001) MHD Flow of Blood under Body Acceleration. Integral Transforms and Special Functions, 12, 1-6. http://dx.doi.org/10.1080/10652460108819329
- Wang, C.Y. (2003) Stagnation Flows with Slip: Exact Solutions of the Navier-Stokes Equations. Zeitschrift fur Angewandte Mathematik und Physik, 54, 184-189. http://dx.doi.org/10.1007/PL00012632
- Rathod, V.P. and Tanveer, Shakera: Pulsatile Flow of Couple Stress Fluid through a Porous Medium with Periodic Body Acceleration and Magnetic Field, Bull. Malays. Math. Sci. Soc. (2), 32(2), 245-259, 2009.
- Malekzadeh, A., Heydarinasab, A. and Dabir, B. (2011) Magnetic Field Effect on Fluid Flow Characteristics in a Pipe for Laminar Flow. Journal of Mechanical Science and Technology, 25, 333-339.
- I. M. Eldesoky, “influence of slip condition on peristaltic transport of a compressible Maxwell fluid through porous medium in a tube,” International Journal of Applied Mathematics and Mechanics, vol. 8, no. 2, pp. 99–117, 2012.
- Khem Chand, K. D., Singh and Sanjeev Kumar, “Hydromagnetic periodic flow through a porous medium in a circular pipe with slip flow condition,” International Journal of Physical and Mathematical Sciences, vol.4, no.1,2013.
- I. M. Eldesoky, M. H. Kamel, and R. M. Abumandour, “Numerical study of slip effect of unsteady MHD pulsatile flow through porous medium in an artery using generalized differential quadrature method (comparative study),” World Journal of Engineering and Technology, vol. 2, no. 2, pp. 131–148, 2014.
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