Predictor-corrector FDM analysis of MHD Darcy-Forchheimer flow of a micropolar fluid with viscous dissipation and heterogeneous-homogeneous  

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作  者:D.Thenmozhi M.Eswara Rao 

机构地区:[1]Department of Mathematics,Saveetha School of Engineering,SIMATS,Chennai,Tamilnadu,India

出  处:《Propulsion and Power Research》2024年第2期257-272,共16页推进与动力(英文)

摘  要:This research delves into an intricate exploration offluid dynamics within heat transfer systems,with a specific focus on enhancing our understanding and improving system efficiency.Employing a sophisticated mathematical model,the study incorporates micropolarfluid dynamics,micro rotational effects,laminarflow characterized by the Darcy-Forchheimer model,inertia effects,and chemical reactions within a heat transfer system featuring boundary layer complexities.The mathematical framework consists of partial differential equations(PDEs),and the study utilizes advanced numerical techniques,including the(PC4-FDM)Predictor-Corrector Finite Difference Method and the shooting method,to solve these govern-ing equations.The inclusion of quantized mesh points and analysis of convergence using 4th orderfinite difference methods enhances the precision of the obtained solutions.Various param-eters are scrutinized to draw meaningful insights.The heterogeneous parameter reveals an increasing trend influid concentration,while the homogeneous parameter indicates a collision effect leading to a decrease influid concentration.The Eckert number,associated with viscous dissipation,exhibits a correlation with decreasedfluid temperature and increasedfluid velocity.Micro rotation parameters suggest a parallel increase influid velocity and a marginal decrease influid temperature.Notably,the Darcy-Forchheimer parameter,reflective of inertial effects,showcases an increase influid temperature and decrease in velocity in the convection system.Highlighting the industrial implications,the study underscores the significance of convection heat transfer systems in the context of industrialization.Thefindings offer valuable insights for optimizing heating and cooling processes in diverse industrial applications,ranging from power plants to waste heat recovery units and pharmaceutical industries.

关 键 词:PREDICTOR-CORRECTOR Micropolarfluid Magnetohydrodynamics(MHD) Viscous dissipation Homogeneous-heterogeneous 

分 类 号:O17[理学—数学]

 

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