Optimal homotopic strategy for thermal and mass transport in Williamson model flow PDEs under heat generation/absorption and Joule heating

• Published in: Advances in mechanical engineering Vol. 16; no. 11
• Main Authors: Akbar, Sana, Sohail, Muhammad, Abbas, Syed Tehseen, Badi, Nacer
• Format: Journal Article
• Language: English
• Published: London, England SAGE Publications 01.11.2024; Sage Publications Ltd; SAGE Publishing
• Subjects: Constraints; Convection heating; Density; Drag; Energy distribution; Fluid flow; Force distribution; Heat generation; Mass transport; Ohmic dissipation; Organisms; Peclet number; Resistance heating; Temperature gradients; Thermophoresis; Three dimensional flow; MHD; Williamson Nano fluid; bio-convection; Joule heating Brownian movement and also thermophoresis diffusion; Joule heating
• ISSN: 1687-8132; 1687-8140
• DOI: 10.1177/16878132241294262

In current paper, we considered the 3-D occurrence of magneto Williamson fluid subjected to linear penetrating expanding sheet. The Williamson liquid is taken into account under the essence of bio convection bordering with Joule heating, heat production. Moreover, Brownian movement combined with thermophoresis diffusion was also analyzed in current study. Central PDEs are modified into system of ODEs on the basis of appropriate similarity transformation utilization. For solution purpose, an optimal approach namely HAM was opted. The critical review based on all involved multifarious constraints across the non- dimensional velocity contour ( along x − axes and also y − axes ) , energy and concentration distribution. Moreover, across the motile organism distribution was also conducted graphically and depicts total covenant with the former published research work. The drag force effect, Nusselt number, Sherwood number, and motile organism density in tabular form is also proposed in this study. Moreover, Motile organism profile graphically demonstrates decreased demeanor for considered bio convection Lewis number, Peclet number, and also temperature difference constraint whereas results of motile organism density augmented in tabular version for the considered bio convection Lewis number, Peclet number, and also temperature difference constraint.