Illustration of low-pressure gradient on the MHD flow of viscous fluid over a flat plate: the Homotopy Perturbation Method

• Published in: Waves in random and complex media Vol. ahead-of-print; no. ahead-of-print; pp. 1 - 19
• Main Authors: Pattnaik, P. K., Pattnaik, J. R., Mishra, S. R.
• Format: Journal Article
• Language: English
• Published: Taylor & Francis 09.09.2022
• Subjects: buoyant forces; chemical reaction; heat source; Homotopy Perturbation Method; MHD
• ISSN: 1745-5030; 1745-5049
• DOI: 10.1080/17455030.2022.2118395

The proposed investigation is intended to carry out the salient features of the low-pressure gradient of conducting a viscous fluid flow over a flat plate embedding with a permeable medium. The impact of thermal and solutal buoyancy in conjunction with the additional heat source and the chemical reaction enriches the flow phenomena significantly. The recent need in several industries that depend on the supplied heat source and the solutal reactant optimizes the transport properties. These physical properties are best to be used for the proper shape and size of the product manufactured by the industries. To handle the model, first of all, the governing equations are transformed to ordinary for the suitable choice of transformation rules. Furthermore, an approximate analytical approach i.e. the 'Homotopy Perturbation Method' (HPM) is proposed. The illustration of the characteristics of physical parameters blending within the flow phenomena is deliberated through the graph and tables. The important aspects of the outcomes are that the inclusion of buoyant-driven forces encourages the velocity distribution significantly, and in addition to that the additional heat source augments the fluid temperature.