A B C
Z. Naturforsch. 67a, 657 – 664 (2012)
doi:10.5560/ZNA.2012-0068
Unsteady Flow and Heat Transfer in a Composite Porous Annulus with Time-Dependent Injection
Muhammad Nasir1, Sufian Munawar1,2, Ahmer Mehmood3, and Asif Ali1
1 Department of Mathematics, Quaid-i-Azam University, Islamabad, Pakistan
2 Department of Mathematics, School of Science & Technology, University of Management & Technology, Lahore, Pakistan
3 Department of Mathematics (FBAS), International Islamic University, Islamabad, Pakistan
Received February 6, 2012 / revised June 4, 2012 / published online October 17, 2012
Reprint requests to: M. N.; Tel.: +92 313 5577676, E-mail: nasirmaths1@yahoo.com
In the present study, we deal with the momentum and heat transfer analysis in a horizontal annulus of a composite porous medium. The Darcy–Brinkman model is used to develop the governing equations for the flow and heat transfer phenomenon. The annulus injects the time dependent oscillatory velocity normal to its surface. Both the regions of the flow have their own viscosities, and the heat transfer analysis is carried out by retaining viscous dissipation. The governing equations for flow and heat transfer are solved analytically using a perturbation series for solutions in both regions of the annulus. A brief parametric analysis is performed for the velocity and the temperature profiles through graphs.
Key words: Unsteady Flow; Heat Transfer; Porous Medium; Suction/Injection.
Full-text PDF