Impact of temperature dependent viscosity and thermal conductivity on MHD blood flow through a stretching surface with ohmic effect and chemical reaction

Abstract

Abstract A study has been carried for a viscous, incompressible electrically conducting MHD blood flow with temperature-dependent thermal conductivity and viscosity through a stretching surface in the presence of thermal radiation, viscous dissipation, and chemical reaction. The flow is subjected to a uniform transverse magnetic field normal to the flow. The governing coupled partial differential equations are converted into a set of non-linear ordinary differential equations (ODE) using similarity analysis. The resultant non-linear coupled ordinary differential equations are solved numerically using the boundary value problem solver (bvp4c) in MATLAB with a convincible accuracy. The effects of the physical parameters such as viscosity parameter <m:math xmlns:m="http://www.w3.org/1998/Math/MathML" display="inline"> <m:mrow> <m:mrow> <m:mo>(</m:mo> <m:mrow> <m:mo>μ</m:mo> <m:mo stretchy="false">(</m:mo> <m:msub> <m:mover accent="true"> <m:mi>T</m:mi> <m:mo>˜</m:mo> </m:mover> <m:mi>b</m:mi> </m:msub> <m:mo stretchy="false">)</m:mo> </m:mrow> <m:mo>)</m:mo> </m:mrow> </m:mrow> </m:math> \left({\mu ({{\tilde T}_b})} \right) , permeability parameter ( β ), magnetic field parameter ( M ), Local Grashof number ( Gr ) for thermal diffusion, Local modified Grashof number for mass diffusion ( Gm ), the Eckert number ( Ec ), the thermal conductivity parameter <m:math xmlns:m="http://www.w3.org/1998/Math/MathML" display="inline"> <m:mrow> <m:mrow> <m:mo>(</m:mo> <m:mrow> <m:mi>K</m:mi> <m:mo stretchy="false">(</m:mo> <m:msub> <m:mover accent="true"> <m:mi>T</m:mi> <m:mo>˜</m:mo> </m:mover> <m:mi>b</m:mi> </m:msub> <m:mo stretchy="false">)</m:mo> </m:mrow> <m:mo>)</m:mo> </m:mrow> </m:mrow> </m:math> \left({K({{\tilde T}_b})} \right) on the velocity, temperature, concentration profiles, skin-friction coefficient, Nusselt number, and Sherwood number are presented graphically. The physical visualization of flow parameters that appeared in the problem is discussed with the help of various graphs to convey the real life application in industrial and engineering processes. A comparison has been made with previously published work and present study revels the good agreement with the published work. This study will be helpful in the clinical healing of pathological situations accompanied by accelerated circulation.