Abstract
A theoretical analysis is performed to study the flow and heat transfer characteristics of magnetohydrodynamic mixed convection flow of a micropolar fluid past a stretching surface with slip velocity at the surface and heat generation (absorption). The transformed equations solved numerically using the Chebyshev spectral method. Numerical results for the velocity, the angular velocity, and the temperature for various values of different parameters are illustrated graphically. Also, the effects of various parameters on the local skin-friction coefficient and the local Nusselt number are given in tabular form and discussed. The results show that the mixed convection parameter has the effect of enhancing both the velocity and the local Nusselt number and suppressing both the local skin-friction coefficient and the temperature. It is found that local skin-friction coefficient increases while the local Nusselt number decreases as the magnetic parameter increases. The results show also that increasing the heat generation parameter leads to a rise in both the velocity and the temperature and a fall in the local skin-friction coefficient and the local Nusselt number. Furthermore, it is shown that the local skin-friction coefficient and the local Nusselt number decrease when the slip parameter increases.
Highlights
Micropolar fluids are those with microstructure belonging to a class of complex fluids with nonsymmetrical stress tensor, and usually referred to as micromorphic fluids
We can observe that, the velocity decreases with increasing the magnetic parameter, and the absolute value of the heat absorption parameter, while it increases with increasing the buoyancy parameter, the heat generation parameter, and the Prandtl number
The angular velocity decreases with increasing the material parameter, the slip parameter, the buoyancy parameter, and the heat generation parameter, while it increases with increasing the magnetic parameter, the absolute value of the heat absorption parameter, and the Prandtl number near the surface and the reverse is true away from the surface
Summary
Micropolar fluids are those with microstructure belonging to a class of complex fluids with nonsymmetrical stress tensor, and usually referred to as micromorphic fluids. They represent fluids consisting of randomly oriented particles suspended in a viscous medium. The theory of micropolar fluid was first introduced and formulated by Eringen 1. Later Eringen 2 generalized the theory to incorporate thermal effects in the so-called thermomicropolar fluid. The theory of micropolar fluids is expected to provide a mathematical model for the non-Newtonian behavior observed in certain fluids such as liquid crystal 3, 4 , low-concentration suspension flow 5, 6 , blood rheology 7–10 , the presence of dust or smoke 11, 12 , and the effect of dirt in journal bearing 13–16.
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