Second Law Analysis of Magneto-Micropolar Fluid Flow between Parallel Porous Plates

[+] Author and Article Information
Abbas Kosarineia

Department of Mechanical Engineering, Ahvaz Branch, Islamic Azad University, Ahvaz, Iran

Sajad Sharhani

Department of Mechanical Engineering, Ahvaz Branch, Islamic Azad University, Ahvaz, Iran

1Corresponding author.

ASME doi:10.1115/1.4039633 History: Received August 10, 2017; Revised November 11, 2017


In this study, the influence of the applied magnetic field is investigated for magneto-micropolar fluid flow through an inclined channel of parallel porous plates with constant pressure gradient. The lower plate is maintained at constant temperature and upper plate at a constant heat flux. The governing motion and energy equations are coupled while effect of the applied magnetic field is taken into account, adding complexity to the already highly correlated set of differential equations. The governing equations are solved numerically by Explicit Runge-Kutta. The velocity, microrotation and temperature results are used to evaluate second law analysis. The effects of characteristic and dominate parameters such as Brinkman number, Hartmann Number, Reynolds number and micropolar viscosity parameter are discussed on velocity, temperature, microrotation, entropy generation and Bejan number in different diagrams. The results depicted that the entropy generation number rises with the increase in Brinkman number and decays with increase in Hartmann Number, Reynolds number and micropolar viscosity parameter. The application of the magnetic field induces resistive force acting in the opposite direction of the flow, thus causing its deceleration. Moreover, the presence of magnetic field tends to increases the contribution of fluid friction entropy generation to the overall entropy generation, in other words the irreversibilities caused by heat transfer reduced. Therefore, to minimize entropy, Brinkman number and Hartmann Number need to be controlled.

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