Thermal Radiation Effect on Unsteady Magneto-Convective Heat-Mass Transport Passing in a Vertical Permeable Sheet with Chemical Reaction

The unsteady magneto-convective heat-mass transport passing in a vertical porous sheet with the thermal radiation and the chemical reaction effects has been examined numerically. The governing PDEs have been transferred into ODEs by applying the local similarity transformation. The nondimensional governing equations including the boundary conditions are solved by applying the superposition method with the help of the “MATLAB ODE45” software numerically. The influence of emerging nondimensional numbers/parameters, for example, the Prandtl number ( <a:math xmlns:a="http://www.w3.org/1998/Math/MathML" id="M1"> <a:mtext>Pr</a:mtext> </a:math> ), thermal radiation parameter ( <c:math xmlns:c="http://www.w3.org/1998/Math/MathML" id="M2"> <c:mi>R</c:mi> </c:math> ), Schmidt number ( <e:math xmlns:e="http://www.w3.org/1998/Math/MathML" id="M3"> <e:mtext>Sc</e:mtext> </e:math> ), and chemical reaction parameter <g:math xmlns:g="http://www.w3.org/1998/Math/MathML" id="M4"> <g:mfenced open="(" close=")"> <g:mrow> <g:msub> <g:mrow> <g:mi>K</g:mi> </g:mrow> <g:mrow> <g:mtext>r</g:mtext> </g:mrow> </g:msub> </g:mrow> </g:mfenced> </g:math> , on fluid velocity, concentration, and thermal radiation within the boundary layer has been examined. The outcomes indicate that enhancing values of the Soret and Dufour numbers reduce the thermal boundary layer thickness. Uplifting values of the thermal radiation (0.5-3.5) enhance the local skin friction coefficient and mass transfer rate by approximately 15% and 78% but decrease the heat transfer rate by 47%. The local skin friction coefficient enhances about 21%, and the mass transfer rate reduces about 64% due to an increase in the chemical reaction parameter (0.5-2.0). Finally, we compared our numerical results with previously published literature and observed them to have a good agreement.