On Hydromagnetic Channel Flow of an Oldroyd-B Fluid induced by Pulses of Longitudinal Impulses

Sanchita Ghosh

doi:10.24297/jam.v9i2.7267

Authors

Sanchita Ghosh BIT Mesra, Kolkata Extension Centre

DOI:

https://doi.org/10.24297/jam.v9i2.7267

Keywords:

Hydromagnetic, impulsive motion, Oldroyd-B fluid

Abstract

A flow problem concerning motion of an incompressible electrically conducting Oldroyd-B fluid in a channel bounded by two infinite rigid non-conducting parallel plates in presence of an external magnetic field acting in a direction normal to the plates has been solved in this paper. The unsteady motion is supposed to generate impulsively from rest in the fluid due to pulses of longitudinal impulses applied periodically on the upper plate in its own plane with the lower plate held fixed. There is no external electric field acting on the system and the magnetic Reynolds number is very small. The operational method is used to obtain the exact solutions for the velocity field and the skin-friction on the walls. The influence of the magnetic field and the fluid elasticity on the flow as well as on the skin-frictions are examined quantitatively. Solutons for the hydromagnetic and hydrodynamic situations are derived as special cases of the present analysis.

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Author Biography

Sanchita Ghosh, BIT Mesra, Kolkata Extension Centre

Department of Computer Science, BIT Mesra, Kolkata Extension Centre,1582 Rajdanga Main Road, Kolkata -700107, India.

References

[1] A. Chakraborty and J. Ray: Unsteady magnetohydrodynamic Couette flow between two plates when one of the plates is subjected to random pulses, J. phys. Soc. Jpn., 48(1980), 1361.
[2] M. N.Makar: Magnetohydrodynamic flow between two plates when one of the plates is subjected to tooth pulses, Acta Phys. Pol., A71 (1987), 995.
[3] A. R. Bestman and F. I. Njoku: On hydromagnetic channel flow induced by tooth pulses, Preprint IC/88/10, Miramare-Trieste, (1988).
[4] A. K. Ghosh and L. Debnath: On hydromagnetic pulsatile flow of a two-phase fluid, ZAMM, 76 (2) (1996), 121.
[5] N. Datta, D. C. Dalal and S. K. Misra: Unsteady heat transfer to pulsatile flow of a dusty viscous incompressible fluid in a channel, Int. J. Heat Mass Transfer,36 (7) (1993), 1783.
[6] N. Datta, D. C. Dalal: Pulsatile flow and heat transfer of a dusty fluid through an infinitely long annular pipe, Int. Multiphase Flow,21 (3) (1995), 515.
[7] 7. T. Hayat, A. M. Siddiqui and S. Asghar: Some simple flows of an Oldroyd-B fluid, Int. J. Engg. Sci., 39 (2001), 135.
[8] S. Asghar, S. Parveen, S. Hanif, A. M. Siddiqui and T. Hayat: Hall effects on the unsteady hydromagnetic flows of an Oldroyd-B fluid, Int. J. Engg. Sci., 41 (2003), 609.
[9] T. Hayat, S. Nadeem and S. Asghar: Hydromagnetic Couette flow of an Oldroyd- B fluid in a rotating system, Int. J. Engg. Sci., 42 (2004), 65.
[10] A. K. Ghosh and P. Sana: On hydromagnetic channel flow of an Oldroyd-B fluid induced by rectified sine pulses, COMPUTATIONAL and APPLIED MATHEMATICS, 28, 3 (2009), 365.