UNSTEADY MHD FLOW OF GENERALIZED VISCO-ELASTIC OLDROYD FLUID UNDER TIME-DEPENDENT BODY FORCE THROUGH A POROUS CONCENTRIC CIRCULAR CYLINDRICAL DUCT

Authors:

M.S. Uddin,

DOI NO:

https://doi.org/10.26782/jmcms.2010.07.00004

Keywords:

Abstract

The aim of present paper is the investigation of the unsteady unidirectional flow of an incompressible generalized visco-elastic Oldroyd type fluid between porous concentric cylindrical duct under the action of a transverse magnetic field with time dependent body force. Here we have calculated the velocity profile of a fluid element of the problem theoretically and graphically. From the analysis of this fluid motion, the dynamics of the ordinary viscous fluid is also discussed.

Refference:

1) Lamb H., : Hydrodynamics, New York, over Pub, Inc (1945).
2) Cowling T.., Magneto hydrodynamics, Inter-Science, Pub. Inc New York (1957)
3) Carslaw H.S. and Jager .C., : Operational Method in Applied math, Dover Pub. Inc ew York (1949).
4) Das K.K., : Proc Math. Soc, BHU. 7 (1991), 35-39.
5) Sengupta P.R., and Mahapatra J. Roy, : Rev. Roum. Sci Tech. Mec. Appl (1971), 1023-1031.
6) Chakraborty G. and Sengupta P.R.,: Proc. Inter-AMSE Conference Signals, Data, System, New Delhi (India) ABSE press, Vol 4 1991), 83-92.
7) Ghose B.C., Sengupta P.R. : Proc Math. Soc., BHU. 9 (1993), 89-95.
8) Cabannes . : Theoretical magneto fluid dynamics, academic press. New York and London.
9) Chandrasekhar S.,: Hydrodynamics and Hydromantic stability, Cambridge University press, (1961).
10) Rlvlin R.S. and .Ericksen J.L, : J.R. at Mech. Anul 1955).
11) Reiner M., : Amer J. Math. Soc (1945).
12) Goldroyd J., : Proc. Roy. Soc. (1950), 200-523.
13) Das K.K. and Sengupta P.R. : Unsteady flow of a conducting viscousfluid through a straight tube, proc. Nat. Aead. Aci. India (1993).
14) Chakraborty G. and Sengupta P.R. : MHD flow of two immiscible visco-elastic Rivlin’s-Erickson fluids through a non-conducting rectangular channel, Journal of physics, Vol.42 (1992, 525-531.

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