Analysis of MHD Fluid Flow and Heat Transfer Inside an Inclined Deformable Filter Chamber: Lie Group Method

Abstract This paper investigates MHD fluid flow and distribution of heat inside a filter chamber during process filtering particles from the fluid. A model viscous incompressible is studied to seek semi-analytical solutions which are analysed find dynamics that lead optimal outflow (maximum filtrates) filtration. Lie group method used reduce system four partial differential equations describing temperature two ordinary equations. The reduced then solved by perturbation obtain for velocity variation chamber. To understand underlying case study better, influence different parameters filtration resulting design, effects graphically presented in order identify combination yields best process. findings show maximise filtrates production, more injection required Moreover, findings, it evident increase arising Joule heating effect ideal since increases internal work done hence production.