Numerical Study of Entropy Generation in Mixed MHD Convection in a Square Lid-Driven Cavity Filled with Darcy-Brinkman-Forchheimer Porous Medium

This investigation deals with the numerical simulation of entropy generation at mixed convection flow in a lid-driven saturated porous cavity submitted to a magnetic field. The magnetic field is applied in the direction that is normal to the cavity cross section. The governing equations, written in the Darcy–Brinkman–Forchheimer formulation, are solved using a numerical code based on the Control Volume Finite Element Method. The flow structure and heat transfer are presented in the form of streamlines, isotherms and average Nusselt number. The entropy generation was studied for various values of Darcy number (10−3 ≤ Da ≤ 1) and for a range of Hartmann number (0 ≤ Ha ≤ 102). It was found that entropy generation is affected by the variations of the considered dimensionless physical parameters. Moreover, the form drag related to the Forchheimer effect remains significant until a critical Hartmann number value.

[1]  S. Ben Nasrallah,et al.  MIXED CONVECTION IN A PLANE CHANNEL WITH A BUILT-IN TRIANGULAR PRISM , 2001 .

[2]  N. Akbar,et al.  Endoscopic Effects with Entropy Generation Analysis in Peristalsis for the Thermal Conductivity of 2 H O + Cu Nanofluid , 2016 .

[3]  D. Spalding,et al.  A calculation procedure for heat, mass and momentum transfer in three-dimensional parabolic flows , 1972 .

[4]  Ali J. Chamkha.  HYDROMAGNETIC COMBINED CONVECTION FLOW IN A VERTICAL LID-DRIVEN CAVITY WITH INTERNAL HEAT GENERATION OR ABSORPTION , 2002, Numerical Heat Transfer, Part A: Applications.

[5]  J. P. V. Doormaal,et al.  ENHANCEMENTS OF THE SIMPLE METHOD FOR PREDICTING INCOMPRESSIBLE FLUID FLOWS , 1984 .

[6]  Katja Bachmeier,et al.  Numerical Heat Transfer And Fluid Flow , 2016 .

[7]  Bantwal R. Baliga,et al.  CO-LOCATED EQUAL-ORDER CONTROL-VOLUME FINITE-ELEMENT METHOD FOR MULTIDIMENSIONAL, INCOMPRESSIBLE, FLUID FLOW—PART II: VERIFICATION , 1994 .

[8]  R. Ellahi,et al.  Shape effects of nanosize particles in Cu-H2O nanofluid on entropy generation , 2015 .

[9]  Khalil Khanafer,et al.  DOUBLE-DIFFUSIVE MIXED CONVECTION IN A LID-DRIVEN ENCLOSURE FILLED WITH A FLUID-SATURATED POROUS MEDIUM , 2002 .

[10]  T. Cheng.  Characteristics of mixed convection heat transfer in a lid-driven square cavity with various Richardson and Prandtl numbers , 2011 .

[12]  R. Ellahi,et al.  Optimization of mixed convection heat transfer with entropy generation in a wavy surface square lid-driven cavity by means of Taguchi approach , 2016 .

[13]  T. Jue.  Analysis of Bénard convection in rectangular cavities filled with a porous medium , 2001 .

[14]  N. Akbar,et al.  Peristaltic flow with thermal conductivity of H2O + Cu nanofluid and entropy generation , 2015 .

[15]  N. C. Roy,et al.  Hydro-Magnetic Mixed Convection Flow in a Lid-Driven Cavity with Wavy Bottom Surface , 2015 .

[16]  R. Kilchherr,et al.  Transport phenomena in porous media , 2003 .

[17]  Ibrahim Dincer,et al.  Porous and Complex Flow Structures in Modern Technologies , 2004 .

[18]  N. Akbar,et al.  Endoscopic Effects with Entropy Generation Analysis in Peristalsis for the Thermal Conductivity of Nanofluid , 2016 .

[19]  R. Mohamed,et al.  Numerical simulation of mixed convection flows in a square lid-driven cavity partially heated from below using nanofluid , 2010 .

[20]  K. Vafai.  Handbook of porous media , 2015 .

[21]  Brian Straughan,et al.  Convection in Porous Media , 2008 .