Unsteady magneto-convective heat-mass transport passing in a vertical permeable sheet with internal heat generation effect

The unsteady magneto-convective heat-mass transport passing in a vertical permeable sheet has been discussed with the internal heat generation/absorption effect. The governing partial differential equations (PDEs) have been transferred into ordinary differential equations (ODEs) by applying the local similarity transformation. The dimensionless ODEs are solved numerically by exerting the Quasilinearization Method with the help of ‘MATLAB ODE45’software. The influence of emerging dimensionless parameters/numbers for example the internal generation/absorption (Q), the suction parameter (v0), Prandtl number (Pr), Soret number (So), Dufour number (Df), Schmidt number (Sc), magnetic force parameter (M), local modified Grashof number (Gm) and local Grashof number (Gr) on the flow, temperature, and concentration profiles are presented and discussed. The fluid velocity and temperature enhance rising values of the internal heat generation and reduces the concentration but the reverse tends to be found for absorption. The velocity field reduces for increasing values of the suction parameter, Magnetic parameter, Prandtl number, and Schmidt number. The local skin friction increases by about 18% and reduces by 6% due to an increase in the internal heat generation parameter (1.0-3.0) and heat absorption parameter (3.0-10.0), respectively. Uplifting values of the heat absorption parameter (3.0-10.0) and internal heat parameter (1.0-3.0) enhance the heat transfer rate by 56% and decrease by about 42%, respectively. The mass transfer rate enhances by about 59% and decreases by 85% due to an increase in the internal heat generation parameter (1.0-3.0) and heat absorption parameter (3.0-10.0), respectively. Finally, we compared our numerical results with previously published paper and observed them be a excellent agreement.