Unsteady Fluid Flow in a Darcy–Brinkman Porous Medium with Slip E®ect and Porous Dissipation

Rahman M., Waheed H., TÜRKYILMAZOĞLU M., Siddiqui M. S.

International Journal of Modern Physics B, vol.38, no.9, 2024 (SCI-Expanded) identifier

  • Publication Type: Article / Article
  • Volume: 38 Issue: 9
  • Publication Date: 2024
  • Doi Number: 10.1142/s0217979224501236
  • Journal Name: International Journal of Modern Physics B
  • Journal Indexes: Science Citation Index Expanded (SCI-EXPANDED), Scopus, Academic Search Premier, Aerospace Database, Communication Abstracts, INSPEC, Metadex, zbMATH, Civil Engineering Abstracts
  • Keywords: Darcy Brinkman porous medium, permeable sheet, Porous dissipation, similarity solutions, slip conditions, viscous dissipation
  • Hacettepe University Affiliated: Yes

Abstract

In this paper, the significance of slip situations in the appearance of a porous medium and frictional heating on unsteady fluid flow through a porous medium has been explored. The numerical solutions of the differential equation representing fluid flow through a porous material, including slip effects, are presented. We have obtained a nonlinear ordinary differential equation using a similarity transformation. Under velocity and thermal slip conditions, the Maple packages were used to numerically solve the resulting set of nonlinear problems. Both the velocity and temperature increase when the Brinkman viscosity ratio parameter γ increases. The effects of the nondimensional parameters on the governing flow velocity and temperature are examined with graphical profiles. The implications of relevant parameters on dimensionless temperature, velocity, local Nusselt number and skin friction coefficient are shown and explained. For various flow quantities of interest, the fluctuation of parameters is investigated, and the results are given in the system of graphs and tables.