Research Scholar, Research Centre and PG Department of Mathematics, The Madura College (Affiliated to Madurai Kamaraj University), Madurai, Tamil Nadu, India.
This study looks into magneto-radiative Williamson nanofluid flow with entropy generation in a Darcy-Forchheimer porous medium, incorporating motile microorganisms, activation energy, Brownian motion, thermophoresis, and chemical reactions. Solutions for non-linear differential equations are obtained semi-analytically using the Homotopy Analysis Method (HAM) and Modified Homotopy Analysis Method (MHAM), with results validated through numerical results. Notable discoveries include increased velocity profiles with magnetic field and Darcy-Forchheimer number, enhanced entropy generation with Brinkman number and magnetic field and reduced motile microorganism profiles with bioconvection Lewis number and Peclet number, refining comprehension of thermal interactions and cooling mechanisms using nanofluids. The HAM approach yields semi-analytical outcomes in a direct manner and explicit form, and its appropriateness is adaptable for solving complex non-linear problems in physics, chemistry as well as biology. Furthermore, by comparing numerical values of published works with, mathematical expressions for the skin friction coefficient, Sherwood number, Nusselt number and motile microorganism density number are developed also validated, providing high consistency in confirming the validity of the analytical approximations results.
Muthumeena, P. and Ananthaswamy, V. (2025). SEMI-ANALYTICAL INVESTIGATION ON A MIXED BOUNDARY VALUE PROBLEM IN MAGNETOHYDRODYNAMIC FLUID FLOW. Computational Methods for Differential Equations, (), -. doi: 10.22034/cmde.2025.68535.3320
MLA
Muthumeena, P. , and Ananthaswamy, V. . "SEMI-ANALYTICAL INVESTIGATION ON A MIXED BOUNDARY VALUE PROBLEM IN MAGNETOHYDRODYNAMIC FLUID FLOW", Computational Methods for Differential Equations, , , 2025, -. doi: 10.22034/cmde.2025.68535.3320
HARVARD
Muthumeena, P., Ananthaswamy, V. (2025). 'SEMI-ANALYTICAL INVESTIGATION ON A MIXED BOUNDARY VALUE PROBLEM IN MAGNETOHYDRODYNAMIC FLUID FLOW', Computational Methods for Differential Equations, (), pp. -. doi: 10.22034/cmde.2025.68535.3320
CHICAGO
P. Muthumeena and V. Ananthaswamy, "SEMI-ANALYTICAL INVESTIGATION ON A MIXED BOUNDARY VALUE PROBLEM IN MAGNETOHYDRODYNAMIC FLUID FLOW," Computational Methods for Differential Equations, (2025): -, doi: 10.22034/cmde.2025.68535.3320
VANCOUVER
Muthumeena, P., Ananthaswamy, V. SEMI-ANALYTICAL INVESTIGATION ON A MIXED BOUNDARY VALUE PROBLEM IN MAGNETOHYDRODYNAMIC FLUID FLOW. Computational Methods for Differential Equations, 2025; (): -. doi: 10.22034/cmde.2025.68535.3320
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