Entropy generation in a micropolar fluid flow through an inclined channel

Abstract In this paper the entropy generation is studied due to micropolar fluid flow through an inclined channel of parallel plates with constant pressure gradient. The lower plate is maintained at constant temperature and upper plate at a constant heat flux. The governing equations are solved by applying the spectral quasilinearization method. The velocity, microrotation and temperature profiles are obtained numerically and are used to calculate the entropy generation number. The influence of pertinent parameters on velocity, microrotation, temperature, entropy generation and Bejan number is discussed with the help of graphs. The results reveal that the entropy generation number increases with the increase in Brinkman number and angle of inclination. Further, it is observed that the increase in coupling number, Prandtl number and Reynolds number reduces the entropy generation number.

[1]  J. Srinivas,et al.  First and Second Law Analysis for the MHD Flow of Two Immiscible Couple Stress Fluids between Two Parallel Plates , 2015 .

[2]  Sandile S. Motsa,et al.  A NEW SPECTRAL RELAXATION METHOD FOR SIMILARITY VARIABLE NONLINEAR BOUNDARY LAYER FLOW SYSTEMS , 2014 .

[3]  T. A. Zang,et al.  Spectral methods for fluid dynamics , 1987 .

[4]  Sandile S. Motsa,et al.  Spectral Relaxation Method and Spectral Quasilinearization Method for Solving Unsteady Boundary Layer Flow Problems , 2014 .

[5]  A. Eringen,et al.  THEORY OF MICROPOLAR FLUIDS , 1966 .

[6]  M. Antar,et al.  The entropy generation for a rotating sphere under uniform heat flux boundary condition in forced‐convection flow , 2009 .

[8]  A. Koşar,et al.  Convective heat transfer and entropy generation analysis on Newtonian and non-Newtonian fluid flows between parallel-plates under slip boundary conditions , 2014 .

[9]  Adetayo Samuel Eegunjobi,et al.  Entropy Generation in a Couple Stress Fluid Flow Through a Vertical Channel Filled with Saturated Porous Media , 2013, Entropy.

[10]  C. Liu,et al.  Numerical analysis of entropy generation in mixed-convection MHD flow in vertical channel , 2012 .

[11]  I. Ozkol,et al.  Second-Law Analysis for an Inclined Channel Containing Porous-Clear Fluid Layers by Using the Differential Transform Method , 2010 .

[12]  Sandile Sydney Motsa,et al.  A New Spectral Local Linearization Method for Nonlinear Boundary Layer Flow Problems , 2013, J. Appl. Math..

[13]  Entropy generation during fluid flow in a channel under the effect of transverse magnetic field , 2008 .

[14]  I. Zahmatkesh,et al.  On the importance of thermal boundary conditions in heat transfer and entropy generation for natural convection inside a porous enclosure , 2008 .

[15]  I. Ozkol,et al.  Analytical–numerical analysis of entropy generation for gravity-driven inclined channel flow with initial transition and entrance effects , 2008 .

[16]  C. Liu,et al.  Heat transfer and entropy generation in fully-developed mixed convection nanofluid flow in vertical channel , 2014 .

[17]  Roydon Andrew Fraser,et al.  Second law analysis of heat transfer and fluid flow inside a cylindrical annular space , 2002 .

[18]  Adrian Bejan,et al.  Second-Law Analysis in Heat Transfer and Thermal Design , 1982 .

[19]  V. Anand.  Slip law effects on heat transfer and entropy generation of pressure driven flow of a power law fluid in a microchannel under uniform heat flux boundary condition , 2014 .

[20]  R. Jana,et al.  Entropy generation due to MHD flow in a porous channel with Navier slip , 2014 .

[21]  R. Anandalakshmi,et al.  Numerical Simulations for the Analysis of Entropy Generation During Natural Convection in Porous Rhombic Enclosures , 2013 .

[22]  A. Bejan.  A Study of Entropy Generation in Fundamental Convective Heat Transfer , 1979 .

[23]  S. Jangili,et al.  THERMODYNAMIC ANALYSIS FOR THE MHD FLOW OF TWO IMMISCIBLE MICROPOLAR FLUIDS BETWEEN TWO PARALLEL PLATES , 2015 .

[24]  A. S. Butt,et al.  Entropy generation in hydrodynamic slip flow over a vertical plate with convective boundary , 2012 .

[25]  G. Ibáñez.  Entropy generation in MHD porous channel with hydrodynamic slip and convective boundary conditions , 2015 .

[26]  T. Ariman,et al.  Some basic viscous flows in micropolar fluids , 1968 .

[27]  A. Bejan.  Entropy Generation Minimization , 2016 .