Analysis of bio-convective MHD Blasius and Sakiadis flow with Cattaneo-Christov heat flux model and chemical reaction

The combined impacts of bio-convection and magnetic field on boundary layer magnetohydrodynamic unsteady Sakiadis and Blasius flow of nanofluid with accretion/ablation of the leading-edge are investigated. Moreover, the effects of Biot number, thermal radiation, chemical reaction, and the convective boundary condition have been observed. Perpendicular to the sheet, a uniform magnetic field remains operative with a source of radiative heat and convective conditions at the boundary. The basic formulation is constituted in the form of coupled nonlinear PDEs and transformed into higher-order ODEs by using suitable similarity functions. A Galerkin numerical technique is harnessed to yield a solution to the system of differential equations. A graphical behavior of the effects of governing physical parameters on the velocity components, temperature, and concentration is expressed. The most pertinent consequence of this study is that the growing strength of the magnetic field reduced the velocity of the boundary layers in both the Sakiadis and Blasius flows. It is observed that the concentration profile directly decreases in response to the Lewis number, bioconvective Peclet number, and the chemical reaction. The temperature of the fluid rises proportionally with the increasing values of each of the radiative parameter (Rd), Biot number (Bi), and thermophoretic parameter (Nt). The convergence of numerical technique is checked by meshing variation and the accuracy of results is verified by related studies.

Automated summary

The combined impacts of bio-convection and magnetic field on boundary layer magnetohydrodynamic unsteady Sakiadis and Blasius flow of nanofluid with accretion/ablation of the leading-edge are investigated. The study reveals that the growing strength of the magnetic field reduces the velocity of the boundary layers in both the Sakiadis and Blasius flows. It is also observed that the concentration profile directly decreases in response to the Lewis number, bioconvective Peclet number, and the chemical reaction. The temperature of the fluid rises proportionally with the increasing values of each of the radiative parameter (Rd), Biot number (Bi), and thermophoretic parameter (Nt).