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Viscoelastic Effects on the Three- Dimensional Hydrodynamic Flow Past a Vertical Porous Plate

Choudhury R.| Das U.J.^*

Department of Mathematics, Gauhati University, Guwahati-781014, Assam, India

Department of Mathematics, Rajiv Gandhi University, Rono Hills, Doimukh-791112, Arunachal Pradesh, India

Corresponding Author Email:

utpaljyotidas@yahoo.co.in

Received:

N/A

| |

Accepted:

N/A

| | Citation

OPEN ACCESS

Abstract:

The study of unsteady hydrodynamic free convective flow of a viscoelastic incompressible fluid past a vertical porous plate in the presence of a variable suction has been studied. Approximate solutions have been derived for the velocity and temperature fields, shear stress and the rate of heat transfer using perturbation technique. The velocity components, the amplitude and the tangent phase shift of the shear stress and the rate of heat transfer are presented graphically for various viscoelastic parameters with the combination of the other flow parameters.

Keywords:

free convective flow, heat transfer, MHD, suction velocity, viscoelastic

References

[1] Gersten, K., Gross, J.F. Flow and heat transfer along a plane wall with periodic suction (1974) Zeitschrift für angewandte Mathematik und Physik ZAMP, 25 (3), pp. 399-408. doi: 10.1007/BF01594956

[2] Singh, P., Sharma, V.P., Misra, U.N. Three dimensional free convection flow and heat transfer along a porous vertical plate (1978) Applied Scientific Research, 34 (1), pp. 105-115. doi: 10.1007/BF00389279

[3] Singh, P., Sharma, V.P., Misra, U.N. Three dimensional fluctuating flow and heat transfer along a plate with suction (1978) International Journal of Heat and Mass Transfer, 21 (8), pp. 1117-1123. doi: 10.1016/0017-9310(78)90110-2

[4] Singh, K.D. Hydromagnetic effects on the three-dimensional flow past a porous plate (1990) ZAMP Zeitschrift für angewandte Mathematik und Physik, 41 (3), pp. 441-446. doi: 10.1007/BF00959991

[5] Guria, M., Jana, R.N. Hydrodynamic effect on the three-dimensional flow past a vertical porous plate (2005) International Journal of Mathematics and Mathematical Sciences, 2005 (20), pp. 3359-3372. doi: 10.1155/IJMMS.2005.3359

[6] Markovitz, H., Coleman, B.D. Incompressible Second-Order Fluids (1964) Advances in Applied Mechanics, 8 (C), pp. 69-101. doi: 10.1016/S0065-2156(08)70353-3

[7] Coleman, B.D., Noll, W. An approximation theorem for functionals, with applications in continuum mechanics (1960) Archive for Rational Mechanics and Analysis, 6 (1), pp. 355-370. doi: 10.1007/BF00276168

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Viscoelastic Effects on the Three- Dimensional Hydrodynamic Flow Past a Vertical Porous Plate