Effect of porosity on the flow of a dusty fluid between parallel plates with heat transfer and uniform suction and injection

References

• Aboul-Hassan, A. L., Sharaf El-Din, H., & Megahed, A. A. (1991). Temperature due to the motion of one of them. In First international conference of engineering mathematics and physics (pp. 723–734). Cairo.
   Google Scholar
• Ames, W. F. (1977). Numerical solutions of partial differential equations (2nd ed.). New York, NY: Academic Press.
   Google Scholar
• Attia, H. A. (2007). On the effectiveness of porosity on unsteady flow and heat transfer between parallel porous plates with exponential decaying pressure gradient. Journal of Porous Medium (JPM), 10, 319–326.
   Web of Science ®Google Scholar
• Attia, H. A. (2008). Time varying flow of a power-law fluid in porous medium between parallel porous plates with heat transfer under exponential decaying pressure gradient. Journal of Porous Medium (JPM), 11, 487–495.
   Web of Science ®Google Scholar
• Attia, H. A., & Abdeen, M. A. M. (2013). On the effectiveness of variation in the physical variables on the steady flow between parallel plates with heat transfer in a porous medium. Journal of Theoretical and Applied Mechanics (JTAM), 51, 53–61.
   Web of Science ®Google Scholar
• Borkakotia, K., & Bharali, A. (1983). Hydromagnetic flow and heat transfer between two horizontal plates, the lower plate being a stretching sheet. Quarterly of Applied Mathematics, 5, 461–467.
   Google Scholar
• Chamkha, A. J. (2000). Unsteady laminar hydromagnetic fluid-particle flow and heat transfer in channels and circular pipes. International Journal of Heat and Fluid Flow, 21, 740–746.
   Web of Science ®Google Scholar
• Dixit, L. A. (1980). Unsteady flow of a dusty viscous fluid through rectangular ducts. Indian Journal of Theoretical Physics, 28, 129–136.
   Google Scholar
• Ghosh, A. K., & Mitra, D. K. (1984). Flow of a dusty fluid through horizontal pipes. Revue Roumaine de Physique, 29, 631–645.
   Google Scholar
• Gupta, R. K., & Gupta, S. C. (1976). Flow of a dusty gas through a channel with arbitrary time varying pressure gradient. Journal of Applied Mathematics and Physics, 27, 119–128.
   Web of Science ®Google Scholar
• Ingham, D. B., & Pop, I. (2002). Transport phenomena in porous media. Oxford: Pergamon.
   Google Scholar
• Joseph, D. D., Nield, D. A., & Papanicolaou, G. (1982). Nonlinear equation governing flow in a saturated porous media. Water Resources Research, 18, 1049–1052.
   Web of Science ®Google Scholar
• Khaled, A. R. A., & Vafai, K. (2003). The role of porous media in modeling flow and heat transfer in biological tissues. International Journal of Heat and Mass Transfer, 46, 4989–5003.
   Web of Science ®Google Scholar
• Lohrabi, J. (1980). Investigation of magnetohydrodynamic heat transfer in two-phase flow ( Unpublished PhD thesis). Tennessee Technological University, P.I.
   Google Scholar
• Megahed, A. A., Aboul-Hassan, A. L., & Sharaf El-Din, H. (1988). Effect of Joule and viscous dissipation on temperature distributions through electrically conducting dusty fluid. In Fifth Miami International Symposium on Multi-phase Transport and Particulate Phenomena (Vol. 3, pp. 111–132). Miami Beach, FL.
   Google Scholar
• Mitra, P., & Bhattacharyya, P. (1981). Unsteady hydromagnetic laminar flow of a conducting dusty fluid between two parallel plates started impulsively from rest. Acta Mechanica, 39, 171–183.
   Web of Science ®Google Scholar
• Prasad, V. R., & Ramacharyulu, N. C. P. (1979). Unsteady flow of a dusty incompressible fluid between two parallel plates under an impulsive pressure gradient. Defence Science Journal, 30, 125–135.
   Google Scholar
• Saffman, P. G. (1962). On the stability of a laminar flow of a dusty gas. Journal of Fluid Mechanics, 13, 120–128.
   Web of Science ®Google Scholar
• Schlichting, H. (1968). Boundary layer theory. New York, NY: McGraw-Hill.
   Google Scholar
• Singh, K. K. (1976). Unsteady flow of a conducting dusty fluid through a rectangular channel with time dependent pressure gradient. Indian Journal of Pure and Applied Mathematics, 8, 1124–1133.
   Google Scholar
• Spiegel, M. R. (1986). Theory and problems of Laplace transforms. New York, NY: McGraw-Hill.
   Google Scholar