Thermal analysis of radiative bioconvection magnetohydrodynamic flow comprising gyrotactic microorganism with activation
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Thermal analysis of radiative bioconvection magnetohydrodynamic flow comprising gyrotactic microorganism with activation energy Aaqib Majeed1 · Ahmad Zeeshan2 · Noorul Amin1 · Nouman Ijaz3 · Tareq Saeed4 Received: 29 May 2020 / Accepted: 23 August 2020 © Akadémiai Kiadó, Budapest, Hungary 2020
Abstract Bioconvection flows are very much related to engineering and real-life phenomena, for example, in the design of bio-cells, bio-conjugates and bio-microsystems, and become a hot topic in the current research. Therefore, the purpose of the present investigation is to explore theoretically the time-dependent electrically conducting flow with heat and mass transfer containing gyrotactic microorganism with activation energy toward an elongated surface with the effect of thermal radiation. Impact of velocity, thermal and concentration slips are also taken into account. The classical problem of Navier Stokes equations in the present model is reduced into ODEs by employing similarity approach. Numerical simulations are performed via boundary value problem solver based on finite difference numerical scheme using MATLAB. Impact of convergence parameters like motile microorganisms, concentration, temperature and velocity fields is elaborated through graphically and in the form of tables. The significant outcomes display that the density of motile microorganisms decreases with Peclet number and bioconvection Lewis number, while opposite behavior is noted for thermal buoyancy and buoyancy force ratio parameter on velocity profile. Keywords Microorganism · Unsteady · Bioconvection · Activation energy · Thermal radiation · Multiple slip List of symbols A Unsteadiness parameter B Uniform magnetic field B0 Magnetic induction C Species concentration (mol m−3) Cw Species concentration at the wall (mol m−3) C∞ Species concentration far from the surface (mol m−3) Cf Local skin friction coefficient cp Specific heat capacity ( J kg−1 K−1) * Aaqib Majeed [email protected]; [email protected] 1
Department of Mathematics and Statistics, Bacha Khan University, Charsadda 24420, KPK, Pakistan
2
Department of Mathematics and Statistics, FBAS, International Islamic University Islamabad, H‑10, Islamabad 44000, Pakistan
3
Department of Mathematics and Statistics, University of Lahore, Sargodha Campus, Sargodha 40100, Pakistan
4
Nonlinear Analysis and Applied Mathematics Research Group, Department of Mathematics, Faculty of Sciences, King Abdulaziz University, P.O. Box 80203, Jeddah 21589, Saudi Arabia
DB Mass diffusivity ( m2 s−1) Gr Grashof number due to temperature Gr∗ Grashof number due to concentration J Slip factor of concentration k∗ Mean absorption coefficient K Thermal slip factor N0 Velocity slip factor M Magnetic parameter N Buoyancy force ratio parameter Nux Local Nusselt number Rd Radiation parameter Pr Prandtl number Q Local heat source/sink parameter qr Radiative heat flux ( W m−2) Jw Surface mass flux (kg s−1 m−2) qw Surface heat flux (W m−2) Rex Local Reynolds number S Suction/injection p
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