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 fl ow of an incompressible, time-independent viscoelastic fl uid with gyrotactic motile microorganisms across an elongating and convectively heated surface in a non-Darcian porous regime. The eff ects 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 profi les of the density of motile microorganisms, velocity, concentration, and temperature are detected graphically. It is shown that the velocity profi le is reduced with increase in the parameter and bioconvection Rayleigh number. Activation energy diminishes the concentration profi le but amplifi es the density profi le of motile microorganisms.
This study examines a laminar, magnetohydrodynamic bioconvective fl ow of an incompressible, time-independent viscoelastic fl uid with gyrotactic motile microorganisms across an elongating and convectively heated surface in a non-Darcian porous regime. The eff ects 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 profi les of the density of motile microorganisms, velocity, concentration, and temperature are detected graphically. It is shown that the velocity profi le is reduced with increase in the parameter and bioconvection Rayleigh number. Activation energy diminishes the concentration profi le but amplifi es the density profi le of motile microorganisms.
Author:  Utpal Jyoti Das, Indushri Patgiri, and Jubi Begum
Keywords:  magnetohydrodynamics, viscoelastic fl uid, heat sink, bioconvection, activation energy
Page:  468