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An unsteady electrically conducting viscous fluid, flowing in permeable capillary, is subjected to magnetic field and temporal deformation with radiative and dissipative heat, representing the blood flow. Furthermore, the second-order slip at the capillary surface is considered. The use of the Runge–Kutta algorithm with shooting technique is a suitable alternative to central difference scheme. The good agreement of the present results with earlier ones serves as the bench mark of reliability. The important findings are the skin friction coefficient at the capillary wall decreases with higher-order slip, which is a therapeutic advantage. If faster cooling of the capillary surface is a therapeutic necessity, then higher thermal slip and thermo-dissipation are to be accelerated. Quantitative analysis reveals that Nusselt number decreases commensurately by 0.27% with an increase in heat source and Eckert number but increases by 0.72% with the increase of order of slip, the magnitude of escalation being higher for Eckert number.

Effect of the second-order slip and heat source on dissipative MHD flow of blood through a permeable capillary in stretching motion