ENTROPY GENERATION IN BOUNDARY LAYER FLOW OF A MICRO POLAR FLUID OVER A STRETCHING SHEET EMBEDDED IN A HIGHLY ABSORBING MEDIUM

An analytical study of entropy generation in steady boundary layer flow, heat and mass transfer characteristic of 2D convective flow of a micro polar fluid over a stretching sheet embedded through a highly absorbing medium is performed. The governing equations are continuity, momentum boundary layer, micro rotation, and energy takes into account of Rosseland approximation for thermal radiation sources are solved analytically. The governing system of partial differential equations is first transformed into a system of non-linear ordinary differential equations using similarity transformation. The transformed equations are non-linear coupled differential equations which are then linearized by quasi-linearization method and solved very efficiently by the Homotopy analysis method. The special case of the first branch (K = 0, classical Newtonian fluid) is compared with the existing numerical results of stretching flow in good agreement. In addition, favorable comparisons with previously published work on various special cases of the problem are obtained. The effects of various physical parameters of entropy generation are presented graphically and in tabular form.

[1]  M. Nobari,et al.  Numerical analysis of entropy generation in nanofluid flow over a transparent plate in porous medium in presence of solar radiation, viscous dissipation and variable magnetic field , 2014 .

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

[3]  Chaolu Temuer,et al.  Homotopy perturbation method for viscous heating in plane Couette flow , 2013 .

[4]  C.-H. Chen,et al.  Laminar mixed convection adjacent to vertical, continuously stretching sheets , 1998 .

[5]  Satish G. Kandlikar,et al.  High Flux Heat Removal with Microchannels—A Roadmap of Challenges and Opportunities , 2005 .

[6]  Goodarz Ahmadi,et al.  Self-similar solution of imcompressible micropolar boundary layer flow over a semi-infinite plate , 1976 .

[7]  Mostafa Safdari Shadloo,et al.  Statistical behavior of supersonic turbulent boundary layers with heat transfer at M∞=2 , 2015 .

[8]  Mostafa Safdari Shadloo,et al.  Effect of wall temperature in supersonic turbulent boundary layers: A numerical study , 2015 .

[9]  A. Yucel Mixed convection in micropolar fluid flow over a horizontal plate with surface mass transfer , 1989 .

[10]  Antonio Barletta,et al.  Fully developed mixed convection and flow reversal in a vertical rectangular duct with uniform wall heat flux , 2002 .

[11]  Majid Ghassemi,et al.  Numerical investigation of thermal radiation effects on open cavity with discrete heat sources , 2013 .

[12]  A. Mehmood,et al.  Entropy Analysis of Mixed Convective Magnetohydrodynamic Flow of a Viscoelastic Fluid over a Stretching Sheet , 2012 .

[13]  Soraya Aïboud,et al.  Entropy analysis for viscoelastic magnetohydrodynamic flow over a stretching surface , 2010 .

[14]  P. S. Datti,et al.  MHD visco-elastic fluid flow over a non-isothermal stretching sheet , 2004 .

[15]  Oluwole Daniel Makinde,et al.  Second Law Analysis for Variable Viscosity Hydromagnetic Boundary Layer Flow with Thermal Radiation and Newtonian Heating , 2011, Entropy.

[16]  T. Ariman,et al.  Microcontinuum fluid mechanics—A review , 1973 .

[17]  M. H. Matin,et al.  ENTROPY ANALYSIS FOR MHD FLOW OVER A NON-LINEAR STRETCHING INCLINED TRANSPARENT PLATE EMBEDDED IN A POROUS MEDIUM DUE TO SOLAR RADIATION , 2012 .

[18]  A. G. Fabula,et al.  THE EFFECT OF ADDITIVES ON FLUID FRICTION , 1964 .

[19]  M. Y. Abdollahzadeh Jamalabadi,et al.  Thermal Radiation, Joule Heating, and Viscous Dissipation Effects on MHD Forced Convection Flow with Uniform Surface Temperature , 2014 .

[20]  Hudimoto Busuke,et al.  Two-dimensional shear flows of linear micropolar fluids , 1969 .

[21]  A. Eringen Microcontinuum Field Theories , 2020, Advanced Continuum Theories and Finite Element Analyses.

[22]  M. Y. Abdollahzadeh Jamalabadi Experimental investigation of thermal loading of a horizontal thin plate using infrared camera , 2014 .

[23]  M. Brewster Thermal Radiative Transfer and Properties , 1992 .

[24]  Ioan Pop,et al.  Stagnation point flow of a micropolar fluid towards a stretching sheet , 2004 .

[25]  M. Ali,et al.  Heat transfer characteristics of a continuous stretching surface , 1994 .

[26]  L. J. Grubka,et al.  Heat Transfer Characteristics of a Continuous, Stretching Surface With Variable Temperature , 1985 .

[27]  S. Liao,et al.  Beyond Perturbation: Introduction to the Homotopy Analysis Method , 2003 .

[28]  M. Khonsari On the self-excited whirl orbits of a journal in a sleeve bearing lubricated with micropolar fluids , 1990 .

[29]  Rafael Cortell,et al.  Viscous flow and heat transfer over a nonlinearly stretching sheet , 2007, Appl. Math. Comput..

[30]  I. Pop,et al.  Flow and heat transfer over a generalized stretching/shrinking wall problem—Exact solutions of the Navier–Stokes equations , 2011 .

[31]  I. Pop,et al.  Hydromagnetic flow and heat transfer adjacent to a stretching vertical sheet in a micropolar fluid , 2013 .

[32]  Mohammad Ghalambaz,et al.  Entropy analysis for nanofluid flow over a stretching sheet in the presence of heat generation/absorption and partial slip , 2013, Journal of Mechanical Science and Technology.

[33]  A. Eringen,et al.  Microcontinuum Field Theories II Fluent Media , 1999 .

[34]  Mohammad Mehdi Rashidi,et al.  Entropy generation in non-Newtonian fluids due to heat and mass transfer in the entrance region of ducts , 2012 .

[35]  A. S. Butt,et al.  Entropy generation in MHD flow over a permeable stretching sheet embedded in a porous medium in the presence of viscous dissipation , 2013 .

[36]  Tian Jian Lu,et al.  Analysis of microchannel heat sinks for electronics cooling , 2002 .

[37]  Effect of Viscoelasticity on Entropy Generation in a Porous Medium over a Stretching Plate , 2012 .

[38]  Antonio Barletta,et al.  Analysis of Combined Forced and Free Flow in a Vertical Channel With Viscous Dissipation and Isothermal-Isoflux Boundary Conditions , 1999 .

[39]  Majid Ghassemi,et al.  Two-dimensional simulation of thermal loading with horizontal heat sources , 2012 .

[40]  D. Ganji,et al.  SERIES SOLUTION OF ENTROPY GENERATION TOWARD AN ISOTHERMAL FLAT PLATE , 2012 .

[41]  Li-Mei Yan MODIFIED HOMOTOPY PERTURBATION METHOD COUPLED WITH LAPLACE TRANSFORM FOR FRACTIONAL HEAT TRANSFER AND POROUS MEDIA EQUATIONS , 2013 .

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