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

• Published in: International journal of modern physics. B, Condensed matter physics, statistical physics, applied physics Vol. 38; no. 11
• Main Authors: Rahman, Muhammad, Waheed, H., Turkyilmazoglu, M., Siddiqui, M. Salman
• Format: Journal Article
• Language: English
• Published: Singapore World Scientific Publishing Company 30.04.2024; World Scientific Publishing Co. Pte., Ltd
• Subjects: Boundary layer flow; Dissipation; Fluid flow; Graphical representations; Mathematical analysis; Nonlinear differential equations; Nonlinear equations; Ordinary differential equations; Partial differential equations; Porous materials; Porous media; Porous media flow; Similarity; Skin friction; Steady flow; Suction; Temperature distribution; Temperature profiles; Darcy–Brinkman porous medium; Dust particles; porous dissipation; viscous dissipation; slip conditions; steady fluid flow; permeable sheet
• ISSN: 0217-9792; 1793-6578
• DOI: 10.1142/S0217979224501522

This study looks at the Darcy–Brinkman flow across a stretched sheet of porous dissipation and frictional heating. The geometry of a steady flow of dust particles fluid through a porous material in the existence of slip effect 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 differential equation is decreased to a sequence of nonlinear ordinary differential 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 coefficient of skin-friction are also given numerically. The increase in Brinkman number γ raises the temperature profile for both the dusty and the fluid 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 fluid phase. For a variety of flow 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 flow and heat transfer over such a stretched surface in porous materials.