Abstract
This work considers steady, laminar, MHD flow of a micropolar fluid past a stretched semi-infinite, vertical and permeable surface in the presence of temperature dependent heat generation or absorption, magnetic field and thermal radiation effects. A set of similarity parameters is employed to convert the governing partial differential equations into ordinary differential equations. The obtained self-similar equations are solved numerically by an efficient implicit, iterative, finite-difference method. The obtained results are checked against previously published work for special cases of the problem in order to access the accuarcy of the numerical method and found to be in excellent agreement. A parametric study illustrating the influence of the various physical parameters on the skin friction coefficient, microrotaion coefficient or wall couple stress as well as the wall heat transfer coefficient or Nusselt number is conducted. The obtained results are presented graphically and in tabular form and the physical aspects of the problem are discussed.
Highlights
Micropolar fluids are referred to those fluids that contain micro-constituents that can undergo rotation which affect the hydrodynamics of the flow
The presence of a magnetic field has the tendency to produce a drag-like force called the Lorentz force which acts in the opposite direction of the fluid’s motion. This causes the fluid velocity and microrotation to decrease and the fluid temperature to increase as the Hartmann number Ha increases
In general, the local skin-friction coefficient increased as either of the wall suction or injection parameter or the Hartmann number increased while it decreased as the microrotation coupling constant increased
Summary
Micropolar fluids are referred to those fluids that contain micro-constituents that can undergo rotation which affect the hydrodynamics of the flow. In this context, they can be distinctly non-Newtonian in nature. The equations governing the flow of a micropolar fluid involve a microrotation vector and a gyration parameter in addition to the classical velocity vector field. Eringen’s micropolar fluid theory has been employed to study a number of various flow situations such as the flow of low concentration suspensions, liquid crystals, blood, and turbulent shear flows. The theory may be applied to explain the flow of colloidal solutions, fluids with additives and many other situations
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