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In this investigation, the influence of relaxation time on magnetohydrodynamic (MHD) pulsatile flow of blood through porous medium in an artery under the effect of periodic body acceleration is investigated. The applied magnetic field is assumed to be constant and perpendicular to the blood flow in the artery, and blood is considered as an incompressible electrically conducting fluid. An analytical solution of the equation of motion is obtained by applying the Laplace Transform. With a view of illustrating the applicability of the mathematical model developed here, the analytic explicit expressions of axial velocity and wall shear stress are given. The results show that the values of the axial velocity and shear stress are affected by the relaxation time. Numerical results are reported for different values of the physical parameters of interest.

This paper is dedicated to analyze the flow of a nanofluid over a porous moving wedge in the presence of gyrotactic microorganisms. Magnetohydrodynamic (MHD) effects coupled with the viscous dissipation are taken into consideration. The passive control model is used to formulate the problem. Suitable similarity transforms are employed to transform the equations governing the flow into a set of ordinary differential equations. Solution of the transformed system is obtained numerically using a well-known Runge–Kutta–Fehlberg (RKF) method coupled with shooting technique. Influence of parameters involved on velocity, temperature, concentration and the motile microorganisms density profiles are highlighted using a graphical aid. Expressions for skin friction coefficient, Nusselt number, Sherwood number and the motile microorganisms density number are obtained and presented graphically. For the validity of results obtained, a comparison is also presented with the existing results.