ANALYSIS OF BIOCONVECTIVE FLOW OF VISCOELASTIC FLUID PAST AN ELONGATING AND CONVECTIVELY HEATED SURFACE IN A NON-DARCIAN POROUS REGIME

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 viscoelasticity parameter and bioconvection Rayleigh number. Activation energy diminishes the concentration profile but amplifies the density profile of motile microorganisms.
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 viscoelasticity parameter and bioconvection Rayleigh number. Activation energy diminishes the concentration profile but amplifies the density profile of motile microorganisms. Автор:  Utpal Jyoti Das, Indushri Patgiri, and Jubi Begum
Ключевые слова:  magnetohydrodynamics, viscoelastic fluid, heat sink, bioconvection, activation energy.
Стр:  461