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We investigate the effects of magnetic field on the entropy generation during fluid flow and heat transfer due to the radially stretching surface. The partial differential equations governing the flow and heat transfer phenomenon are transformed into nonlinear ordinary differential equations by using suitable similarity transformations. These equations are then solved by the homotopy analysis method and the shooting technique. The effects of the magnetic field parameter 𝑀 and the Prandtl number 𝑃 𝑟 on velocity and the temperature profiles are presented. Moreover, influence of the magnetic field parameter 𝑀 and the group parameter 𝐵𝑟/Ω on the local entropy generation number 𝑁𝑠 as well as the Bejan number 𝐵𝑒 are inspected. It is observed that the magnetic field is a strong source of entropy production in the considered problem.

In this work, we examine the effects of thermal radiation and viscous dissipation on entropy generation in the Blasius flow. The governing boundary layer equations for the velocity and temperature fields are transformed into ordinary differential equations with the help of suitable similarity transformation and then solved numerically with the help of the shooting method. The expressions for the volumetric entropy generation rate and the Bejan number are calculated for thermal radiation. The effects of various physical parameters on the entropy production number, average entropy and the Bejan number are studied through graphs using velocity and temperature profiles. It is noticed that by increasing the thermal radiation parameter the entropy production in a thermal system can be reduced and viscous dissipation increases the entropy production.

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