MHD Couette Flow and Heat Transfer of a Dusty Fluid with Exponential Decaying Pressure Gradient

H.A. Attia This email address is being protected from spambots. You need JavaScript enabled to view it.¹, A.M.A. Al-kaisy¹ and K.M. Ewis¹

¹Department of Engineering Mathematics and Physics, Faculty of Engineering, Fayoum University, 63514 Fayuom, Egypt

REFERENCES

1. [1] Lohrabi, J., “Investigation of Magnetohydrodynamic Heat Transfer in Two-Phase Flow,” Ph.D. Thesis, Tennessee Technological University, P.I. (1980).
2. [2] Chamkha, A. J., “Unsteady Laminar Hydromagnetic Fluid-Particle Flow and Heat Transfer in Channels and Circular Pipes,” International J. of Heat and Fluid Flow, Vol. 21, pp. 740
   746 (2000).
3. [3] Saffman, P. G., “On the Stability of a Laminar Flow of a Dusty Gas,” Journal of Fluid Mechanics, Vol. 13, p. 120 (1962).
4. [4] Gupta, R. K. and Gupta, S. C., “Flow of a Dusty Gas through a Channel with Arbitrary Time Varying Pressure Gradient,” Journal of Applied Mathematics and Physics, Vol. 27, p. 119 (1976).
5. [5] Prasad, V. R. and Ramacharyulu, N. C. P., “Unsteady Flow of a Dusty Incompressible Fluid between Two Parallel Plates under an Impulsive Pressure Gradient,” Def. Sci . Journal, Vol. 30, p. 125 (1979).
6. [6] Dixit, L. A., “Unsteady Flow of a Dusty Viscous Fluid through Rectangular Ducts,” Indian Journal of Theoretical Physics, Vol. 28, p. 129 (1980).
7. [7] Ghosh, A. K. and Mitra, D. K., “Flow of a Dusty Fluid through Horizontal Pipes,” Rev. Roum. Phys., Vol. 29, (1984).
8. [8] Singh, K. K., “Unsteady Flow of a Conducting Dusty Fluid through a Rectangular Channel with Time Dependent Pressure Gradient,” Indian Journal of Pure and Applied Mathematics, Vol. 8, p. 1124 (1976).
9. [9] Mitra, P. and Bhattacharyya, P., “Unsteady Hydromagnetic Laminar Flow of a Conducting Dusty Fluid between Two Parallel Plates Started Impulsively from Rest,” Acta Mechanica, Vol. 39, p. 171 (1981).
10. [10] Borkakotia, K. and Bharali, A., “Hydromagnetic Flow and Heat Transfer between Two Horizontal Plates, the Lower Plate being a Stretching Sheet,” Quarterly of Applied Mathematics, p. 461 (1983).
11. [11] Megahed, A. A., Aboul-Hassan, A. L. and Sharaf El-Din, H., “Effect of Joule and Viscous Dissipation on Temperature Distributions through Electrically Conducting Dusty Fluid,” Fifth Miami International Symposium on Multi-Phase Transport and Particulate Phenomena, Miami Beach, Florida, USA, Vol. 3, p. 111 (1988).
12. [12] Aboul-Hassan, A. L., Sharaf El-Din, H. and Megahed, A. A., “Temperature Due to the Motion of One of Them,” First International Conference of Engineering Mathematics and Physics, Cairo, p. 723 (1991).
13. [13] Crammer and Pai, Magnetofluid Dynamics for Engineer and Scientists, McGraw-Hill (1973).
14. [14] Sutton, G. W. and Sherman, A., Engineering Magnetohydrodynamics, McGraw-Hill (1965).
15. [15] Schlichting, H., Boundary Layer Theory, McGrawHill (1968).
16. [16] Ames, W. F., Numerical Solutions of Partial Differential Equations, Second Ed., Academic Press, New York (1977).