Darcy–Brinkman porous medium for dusty fluid flow with steady boundary layer flow in the presence of slip effect

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

International Journal of Modern Physics B, vol.38, no.11, 2024 (SCI-Expanded) identifier

  • Publication Type: Article / Article
  • Volume: 38 Issue: 11
  • Publication Date: 2024
  • Doi Number: 10.1142/s0217979224501522
  • 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, Dust particles, permeable sheet, porous dissipation, slip conditions, steady °uid °ow, viscous dissipation
  • Hacettepe University Affiliated: Yes


This study looks at the Darcy–Brinkman °ow across a stretched sheet of porous dissipation and frictional heating. The geometry of a steady °ow of dust particles °uid through a porous material in the existence of slip e®ect and porous dissipation is the subject of this study. The equations that govern the system are shown and summarized as boundary layer assumptions, and then modified into framework of first-order DEs using the similarity approach. By using similarity transformation, a two-dimensional nonlinear partial di®erential equation is decreased to a sequence of nonlinear ordinary di®erential equations (ODEs). Then, by employing numerical techniques such as Maple packages, the solution of system of nonlinear equations is represented using the RK4 method. The numerical findings are derived under specific unique situations. The Nusselt number and coe±cient of skin-friction are also given numerically. The increase in Brinkman number γ raises the temperature profile for both the dusty and the °uid phases. The results also demonstrate that rise in the suction number S falls the temperature distribution within the boundary layer for the dusty phase and °uid phase. For a variety of °ow quantities of attention, the variation of parameters is studied, and the outcomes are reported in the shape of graphs and tables. Several industrial processes make advantage of boundary layer °ow and heat transfer over such a stretched surface in porous materials.