Time Dependent Pressure Gradient Effect on Unsteady MHD Couette Flow and Heat Transfer of a Casson Fluid

References

[1] I. N. Tao, “Magnetohydrodynamic Effects on the Formation of Couette Flow,” J. of Aerospace Sci., Vol. 27, 1960, pp. 334-347.

[2] S. D. Nigam and S. N. Singh, “Heat Transfer by Laminar Flow Between Parallel Plates under the Action of Transverse Magnetic Field,” The Quarterly Journal of Me-chanics and Applied Mathematics, Vol. 13, 1960, pp. 85-97. doi:10.1093/qjmam/13.1.85

[3] R. A. Alpher, “Heat Transfer in Magnetohydrodynamic Flow between Parallel Plates,” In-ternational Journal of Heat and Mass Transfer, Vol. 3, No. 2, 1961, pp. 108- 112. doi:10.1016/0017-9310(61)90073-4

[4] I. Tani, “Steady Motion of Conducting Fluids in Channels under Transverse Magnetic Fields with Consideration of Hall Effect,” Journal of Aerospace Science, Vol. 29, 1962, pp. 287-296.

[5] G. W. Sutton and A.Sherman, Engineering Magnetohydrodynamics, McGraw-Hill, New York, 1965.

[6] V. M. Soundalgekar, N. V. Vighnesam and H. S. Takhar, “Hall and Ion-Slip Effects in MHD Couette Flow with Heat Transfer,” IEEE Transactions on Plasma Science, Vol. PS-7, No. 3, 1979, pp. 178-182. doi:10.1109/TPS. 1979.4317226

[7] V. M. Soundalgekar and A. G. Uplekar, “Hall Effects in MHD Couette Flow with Heat Transfer,” IEEE Transactions on Plasma Science, Vol. PS-14, No. 5, 1986, pp. 579-583. doi:10.1109/TPS.1986.4316600

[8] E. M. H. Abo-El-Dahab, “Effect of Hall Currents on Some Magnetohy-drodynamic Flow Problems,” Master Thesis, Helwan University, Ain Helwan, 1993.

[9] H. A. Attia and N. A. Kotb, “MHD Flow between Two Parallel Plates with Heat Transfer,” Acta Mechanica, Vol. 117, No. 1-4, 1996, pp. 215-220. doi:10.1007/BF 01181049

[10] H. A. Attia, “Hall Current Effects on the Velocity and Temperature Fields of an Unsteady Hartmann Flow,” Canadian Journal of Physics, Vol. 76, No. 9, 1998, pp. 739-746. doi:10.1139/cjp-76-9-739

[11] N. Casson, “A Flow Equation for Pigment Oil-Suspen- sions of the Printing Ink Type,” In: C. C. Mill, Ed., Rheolgy of Disperse Systems, Pergamon Press, London, 1959, p. 84.

[12] B. Tamamashi, “Consideration of Certain Hemorheological Phenomena from the Stand-Point of Surface Chemistry,” In: A. L. Copley, Ed., Hemorheology, Pergamon Press, London, 1968, p. 89.

[13] W. P. Walawander, T. Y. Chen and D. F. Cala, “An Approximate Casson Fluid Model for Tube Flow of Blood,” Biorheology, Vol. 12, No. 2, 1975, pp. 111-124.

[14] R. L. Batra, and B. Jena, “Flow of a Casson Fluid in a Slightly Curved Tube,” International Journal of Engineering Science, Vol. 29, No. 10, 1991, pp. 1245-1258. doi:10.1016/0020-7225(91)90028-2

[15] B. Das and R. L. Batra, “Secondary Flow of a Casson Fluid in a Slightly Curved Tube,” International Journal of Non-Linear Mechanics, Vol. 28, No. 5, 1993, pp. 567- 577. doi:10.1016/0020-7462(93)90048-P

[16] M. E. Sayed-Ahmed and H. A. Attia, “Magnetohydrodynamic Flow and Heat Transfer of a Non-Newtonian Fluid in an Eccentric Annulus,” Canadian Journal of Physics, Vol. 76, No.5, 1998, pp. 391-401. doi:10.1139/cjp-76- 5-391

[17] H. A. Attia and M. E. Sayed-Ahmed, “Hydrodynamic Impulsively Lid-Driven Flow and Heat Transfer of a Casson Fluid,” Tamkang Journal of Science and Engineering, Vol. 9, No. 3, 2006, pp. 195-204.

[18] I. A. Abdalla, H. A. Attia, and M. E. Sayed-Ahmed, “Adomian’s Polynomial Solution of Unsteady Non- Newtonian MHD Flow,” Applied Mathematics and In-formation Science, Vol. 1, No. 3, 2007, pp. 227-245.

[19] H. A. Attia, “Unsteady MHD Couette Flow and Heat Transfer of Dusty Fluid with Variable Physical Properties,” Applied Ma-thematics and Computation, Vol. 177, No. 1, 2006, 308-318. doi:10.1016/j.amc.2005.11.010

[20] A. Mehmood and A. Ali, “The Effect of Slip Condition on Unsteady MHD Flow Oscil-latory Flow of a Viscous Fluid in a Planner Channel,” Romanian Journal of Physics, Vol. 52, No. 1-2, 2007, pp. 85-91.

[21] E. Rukmangadachari, “Dusty Viscous Flow through a Cylinder of Rectangular Cross-Section under Time Dependent Pressure Gradient,” Defense Science Journal, Vol. 31, No. 2, 1981, pp. 143-153.

[22] B. J. Gireesha, C. S. Bagewadi and B. C. Prasanna Kamara, “Flow of Unsteady Dusty Fluid under Varying Pulastile Pressure Gradient in Anholonomic Coordinate System,” Electronic Journal of Theoretical Physics, Vol. 4, No. 14, 2007, pp. 9-16.

[23] M. Antia, “Numerical Methods for Scientists and Engineers,” Tata McGraw-Hill, New Delhi, 1991.