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Proceedings of the 27th National and 5th International ISHMT-ASTFE Heat and Mass Transfer Conference December 14-17, 2023, IIT Patna, Patna-801106, Bihar, India
December, 14-17, 2023, Bihar, India

Analysis of Fluid Flow through a Channel with Porous Patches: A resistance-based approach

Get access (open in a dialog) DOI: 10.1615/IHMTC-2023.520
pages 313-317


The wall permeability affects the flow subjected to the suction or injection of the fluid through the domain, and it has large-scale applications in biological and industrial processes to control the fluid flow. In this article, a novel methodology based on flow resistance in porous media is introduced to justify the proper positioning of the porous patches in the channel wall to optimize the fluid flow. The flow resistance for an arbitrary position of porous patches is derived analytically by transforming the governing fluid flow equation into a nonlinear ordinary differential equation. The perturbation method is employed to solve the nonlinear ordinary differential equation. The mean flow resistance is derived based on the relative size of the porous patch. Varies of test cases are considered for different patch positions to evaluate the flow variations based on the mean flow resistance. It is observed that not only the size of the porous patch but also its position affects the flow resistance rigorously and influences fluid transportation efficiency significantly. The derived approach can be useful in the design of flow control mechanical devices with porous patches for industrial applications where optimal flow control rate is essential.