Engineering Transactions, 55, 1, pp. 79–94, 2007
10.24423/engtrans.232.2007

On Pulsatile Hydromagnetic Flow of an Oldroyd Fluid With Heat Transfer

S. SRINIVAS
Department of Mathematics Vellore Institute of Technology Deemed University
India

T. MALATHY
Department of Mathematics Vellore Institute of Technology Deemed University
India

P. L. SACHDEV
Department of Mathematics Indian Institute of Science
India

The problem of heat transfer to pulsatile flow of hydromagnetic viscoelastic fluid has been studied. Expressions for the velocity, temperature distribution and mass flow rate are obtained. The rate of heat transfer at the plates has also been calculated. These expressions are evaluated numerically for various values of the parameters. The influence of pertinent parameters on temperature, heat transfer coefficient and mass flux has been studied and numerical results obtained are presented graphically.
Keywords: pulsatile flow; Oldroyd fluid; Hartmann number; heat transfer
Full Text: PDF
Copyright © Polish Academy of Sciences & Institute of Fundamental Technological Research (IPPT PAN).

References

A.S. Berman, Laminar flow in channels with porous walls, J. Appl. Phys., 24, 1232–1235, 1953.

J.R. Sellars, Laminar flow in channels with porous walls at high suction Reynolds numbers, J. Appl. Phys., 26, 489–490, 1955.

S.W. Yuan, Further investigation of laminar flow in channels with porous walls, J. Appl. Phys., 27, 267–269, 1956.

M. Morduchow, On laminar flow through a channel or tube with injection – application of method of averages, Q.J. Appl. Math., 14, 361–368, 1956.

A.S. Berman, Laminar flow in an annulus with porous walls, J. Appl. Phys., 29, 71–75, 1958.

J.G. Oldroyd, Non-Newtonian effects in steady motion of some idealized elastico-viscous liquids, Proc. Roy. Soc. Lond., A245, 278–297, 1958.

Y.C. Wang, Pulsatile flow in a porous channel, J. Appl. Mech., 38, 553–555, 1971.

S.A. Victor and V.L. Shah, Heat transfer to blood flowing in a tube, Biorheology, 12, 361–368, 1975.

G. Radhakrishnamacharya and M.K. Maiti, Heat transfer to pulsatile flow in a porous channel, Int. J. Heat Mass Transfer, 20, 171–173, 1977.

A.S. Muzumdar, Advances in transport process, Vol. 1, Wiley Eastern Ltd., 1980.

A.K. Ghosh and L. Debnath, On heat transfer to pulsatile flow of a viscoelastic fluid, Acta Mechanica, 93, 169–177, 1992.

N. Datta and D.C. Dalal, Pulsatile flow and heat transfer of a dusty fluid through an infinitely long annular pipe, Int. J. Multiphase flow, 21, 515–528, 1995.

Ali J. Chamka, Solutions for fluid-particle flow and heat transfer in a porous channel, Int. J. Engg. Science, 34, 1432–1439, 1996.

Zhixiong Guo, Seo Young Kim and Hyung Jin Sung, Pulsating flow and heat transfer in a pipe partially filled with porous medium, Int. J. Heat Mass Transfer, 40, 4209–4218, 1997.

T. Moschandreou and M. Zamir, Heat transfer in a tube with pulsating flow and constant heat flux, Int. J. Heat Mass Transfer, 40, 2461–2466, 1997.

Dae-Young Lee, Sang Jin Part and Sung Tack Ro, Heat transfer in thermally developing region of a laminar oscillating pipe flow, Cryogenics, 38, 584–594, 1998.

A. Ogulu and T.M. Abbey, Simulation of heat transfer on an oscillatory blood flow in an indented porous artery, International communication in Heat and Mass Transfer, In press 2005.




DOI: 10.24423/engtrans.232.2007