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<p>This study examines a laminar, magnetohydrodynamic bioconvective flow of an incompressible, time-independent viscoelastic fluid with gyrotactic motile microorganisms across an elongating and convectively heated surface in a non-Darcian porous regime. The effects of activation energy and heat sink are considered in concentration and energy equations. Governing equations are transformed into a nondimensional form by applying proper similarity variables. Here, use is made of MATLAB-bvp4c code to solve the transformed equations. Impact of various physical parameters on the profiles of the density of motile microorganisms, velocity, concentration, and temperature are detected graphically. It is shown that the velocity profile is reduced with increase in the parameter and bioconvection Rayleigh number. Activation energy diminishes the concentration profile but amplifies the density profile of motile microorganisms.</p>

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Analysis of Bioconvective Flow of Viscoelastic Fluid Past an Elongating and Convectively Heated Surface in a Non-Darcian Porous Regime

  • 期刊论文

  • 发表日期：

    2025年3月1日

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  • Utpal Jyoti Das,
  • Indushri Patgiri,
  • Jubi Begum

摘要

This study examines a laminar, magnetohydrodynamic bioconvective flow of an incompressible, time-independent viscoelastic fluid with gyrotactic motile microorganisms across an elongating and convectively heated surface in a non-Darcian porous regime. The effects of activation energy and heat sink are considered in concentration and energy equations. Governing equations are transformed into a nondimensional form by applying proper similarity variables. Here, use is made of MATLAB-bvp4c code to solve the transformed equations. Impact of various physical parameters on the profiles of the density of motile microorganisms, velocity, concentration, and temperature are detected graphically. It is shown that the velocity profile is reduced with increase in the parameter and bioconvection Rayleigh number. Activation energy diminishes the concentration profile but amplifies the density profile of motile microorganisms.