Analytical and computational results for boundary-layer equations in porous medium-Reference-Cited by-同舟云学术

Analytical and computational results for boundary-layer equations in porous medium

Published:2023 Issue:Spec. issue 1 Volume:27 Page:163-172
ISSN:0354-9836
Container-title:Thermal Science
language:en
Short-container-title:THERM SCI

Author:

Ahmad Iftikhar¹,Khan Aziz²,Shah Kamal³,Abdeljawad Thabet⁴,Islam Saeed⁵

Affiliation:

1. Department of Mathematics, Abdul Wali Khan University, Mardan, Khyber Pukhtoonkhwa, Pakistan + Department of Mathematics and Statistics, University of Swat, Khyber Pukhtoonkhwa, Pakistan

2. Department of Mathematics and Sciences, Prince Sultan University, Riyadh, Saudi

3. Department of Mathematics and Sciences, Prince Sultan University, Riyadh, Saudi Arabia + Department of Mathematics, University of Malakand, Chakdara Dir(L), Khyber Pakhtunkhwa, Pakistan

4. Department of Mathematics and Sciences, Prince Sultan University, Riyadh, Saudi Arabia + Department of Medical Research, China Medical University, Taiwan

5. Department of Mathematics and Statistics, University of Swat, Khyber Pukhtoonkhwa, Pakistan

Abstract

The aim of this paper is to determine analytic solutions to the steady/unsteady 2-D flows of a Newtonian fluid passing through a porous media. Using the stream function, the analytical general solutions of the non-linear equations corresponding to boundary-layer flows are determined by employing the extended approach of variable separation. Some specific flow problems, described by given initial and boundary conditions, are investigated using the obtained general analytic solutions.

Publisher

National Library of Serbia

Subject

Renewable Energy, Sustainability and the Environment

Reference22 articles.

1. Andreev, V. K., et al., Applications of Group-Theoretical Methods in Hydrodynamic, Kluwer, Dordrecht, The Netherlands, 1998

2. Burde, G. I., The Construction of Special Explicit Solutions of the Boundary-Layer Equations, Unsteady Flows, Q. J. Mech. Appl. Math., 48 (1995), 4, pp. 611-633

3. Burde, G. I., New Similarity Reductions of the Steady-State Boundary-Layer Equations, Journal Phys. A: Math. Gen., 29 (1996), 8, pp. 1665-1683

4. Ludlow, D. K., et al., New Similarity Solutions of the Unsteady Incompressible Boundary-Layer Equations, Q. J. Mech. Appl. Math., 53 (2000), 2, pp. 175-206

5. Polyanin, A. D., Exact Solutions and Transformations of the Equations of a Stationary Laminar Boundary-layer, Theo. Foun. Chem. Engg., 35 (2001), July, pp. 319-328