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A duality of biomagnetic fluid flow and heat transfer over a quadratic stretched sheet

Murtaza M. G., Tzirtzilakis E. E., Ferdows Mohammad

Journal of Power Technologies

2021

Vol. 101, nr 3

154--162

This paper investigates duality solutions of biomagnetic fluid flow and heat transfer over a permeable quadratically stretching /shrinking sheet in the presence of a magnetic dipole. The governing nonlinear partial differential equations are converted into a set of nonlinear ordinary differential equations with the help of suitable similarity transformations and then solved numerically by using the boundary value problem solver bvp4c built in MATLAB software. We examine the effects of a variety of pertinent parameters - the ferromagnetic parameter, suction parameter, stretching/shrinking parameter - on velocity and temperature profiles, as well as the skin friction coefficient and Nusselt number, which are presented graphically. Dual solutions exist for certain values of stretching/shrinking sheet and suction parameters. The skin friction coefficient data are evaluated and compared with previous published data and better agreement is achieved. Therefore, it can be said with confidence that our present analysis is accurate. It also shows that the ferromagnetic and stretched parameters result in reduced velocity and thereby influence the temperature profile.

Three-dimensional MHD boundary layer flow due to an axisymmetric shrinking sheet with radiation, viscous dissipation and heat source/sink

Madhu M., Balaswamy B., Kishan N.

International Journal of Applied Mechanics and Engineering

2016

Vol. 21, no. 2

393--406

An analysis is made to study a three dimensional MHD boundary layer flow and heat transfer due to a porous axisymmetric shrinking sheet. The governing partial differential equations of momentum and energy are transformed into self similar non-linear ordinary differential equations by using the suitable similarity transformations. These equations are, then solved by using the variational finite element method. The flow phenomena is characterised by the magnetic parameter M, suction parameter S, porosity parameter Kp, heat source/sink parameter Q, Prandtl number Pr, Eckert number Ec and radiation parameter Rd. The numerical results of the velocity and temperature profiles are obtained and displayed graphically.