Analytical modeling of entropy generation for Casson nano-fluid flow induced by a stretching surface

Abstract The nano-fluids in view of the fabulous thermal conductivity enhancement have been recognized useful in several industrial and engineering applications. Present study provides an analytical investigation of the fluid flow, heat and mass transfer and entropy generation for the steady laminar non-Newtonian nano-fluid flow induced by a stretching sheet in the presence of velocity slip and convective surface boundary conditions using Optimal Homotopy Analysis Method (OHAM). In contrast to the conventional no-slip condition at the surface, Navier’s slip condition is applied. The governing partial differential equations (PDEs) are transformed into highly nonlinear coupled ordinary differential equations (ODEs) consist of the momentum, energy and concentration equations via appropriate similarity transformations. Entropy generation equations, for the first time in this problem, are derived as a function of velocity, temperature and concentration gradients. The current OHAM solution demonstrates very good correlation with those of the previously published studies in the especial cases. The influences of different flow physical parameters on fluid velocity component, temperature distribution and concentration profile as well as the entropy generation number are discussed in details. Increasing the Brownian motion parameter and thermophoresis parameter, Biot number, Reynolds number, and Brinkman number or decreasing the Casson parameter and velocity slip parameter cause an increase in the entropy generation number.

[1]  A. Bejan,et al.  The optimal spacing of parallel plates cooled by forced convection , 1992 .

[2]  Second law of thermodynamics analysis of hydro-magnetic nano-fluid slip flow over a stretching permeable surface , 2015 .

[3]  Navid Freidoonimehr,et al.  Entropy analysis for an unsteady MHD flow past a stretching permeable surface in nano-fluid , 2014 .

[4]  D. Ganji,et al.  Second-law analysis of fluid flow over an isothermal moving wedge , 2014 .

[5]  Davood Domiri Ganji,et al.  An analytical study on entropy generation of nanofluids over a flat plate , 2013 .

[6]  A. Bejan.  Second law analysis in heat transfer , 1980 .

[7]  Hamid Reza Ashorynejad,et al.  Magnetic field effects on force convection flow of a nanofluid in a channel partially filled with porous media using Lattice Boltzmann Method , 2014 .

[8]  Davood Domiri Ganji,et al.  Magnetic field effect on nanoparticles migration and heat transfer of water/alumina nanofluid in a channel , 2014 .

[9]  Mohammad Mehdi Rashidi,et al.  Entropy generation in steady MHD flow due to a rotating porous disk in a nanofluid , 2013 .

[10]  Satoshi Watanabe,et al.  Particulate pattern formation and its morphology control by convective self-assembly , 2013 .

[11]  Rizwan Ul Haq,et al.  MHD flow of a Casson fluid over an exponentially shrinking sheet , 2012 .

[12]  Davood Domiri Ganji,et al.  Effect of a magnetic field on natural convection in an inclined half-annulus enclosure filled with Cu–water nanofluid using CVFEM , 2013 .

[13]  Mohammad Ferdows,et al.  FINITE DIFFERENCE SOLUTION OF MHD RADIATIVE BOUNDARY LAYER FLOW OF A NANOFLUID PAST A STRETCHING SHEET , 2010 .

[14]  Davood Domiri Ganji,et al.  Effects of nanoparticle migration on force convection of alumina/water nanofluid in a cooled parallel-plate channel , 2014 .

[15]  Mohammad Mehdi Rashidi,et al.  Free convective heat and mass transfer for MHD fluid flow over a permeable vertical stretching sheet in the presence of the radiation and buoyancy effects , 2014 .

[16]  Davood Domiri Ganji,et al.  Modified Buongiorno’s model for fully developed mixed convection flow of nanofluids in a vertical annular pipe , 2014 .

[17]  Mohammad Mehdi Rashidi,et al.  Comparative numerical study of single and two-phase models of nanofluid heat transfer in wavy channel , 2014 .

[18]  S. S. Nourazar,et al.  On the solution of characteristic value problems arising in linear stability analysis; semi analytical approach , 2014, Appl. Math. Comput..

[19]  M. R. Hajmohammadi,et al.  On the insertion of a thin gas layer in micro cylindrical Couette flows involving power-law liquids , 2014 .

[20]  Navid Freidoonimehr,et al.  Unsteady MHD free convective flow past a permeable stretching vertical surface in a nano-fluid , 2015 .

[21]  Mohammad Reza Hajmohammadi,et al.  Analytical solution for two-phase flow between two rotating cylinders filled with power law liquid and a micro layer of gas , 2014 .

[22]  Ioan Pop,et al.  Boundary-layer flow of nanofluids over a moving surface in a flowing fluid , 2010 .

[23]  M. R. Hajmohammadi,et al.  New methods to cope with temperature elevations in heated segments of flat plates cooled by boundary layer flow , 2013 .

[24]  S. Liao.  An optimal homotopy-analysis approach for strongly nonlinear differential equations , 2010 .

[25]  Hamid Maleki,et al.  Effects of Cu and Ag nano-particles on flow and heat transfer from permeable surfaces , 2015 .

[26]  B. Sahoo.  Effects of partial slip, viscous dissipation and Joule heating on Von Kármán flow and heat transfer of an electrically conducting non-Newtonian fluid , 2009 .

[27]  Davood Domiri Ganji,et al.  Effect of magnetic fields on heat convection inside a concentric annulus filled with Al2O3–water nanofluid , 2014 .

[28]  Haisheng Chen,et al.  Forced convective heat transfer of nanofluids , 2007 .

[29]  Saeed Zeinali Heris,et al.  Analysis of entropy generation between co-rotating cylinders using nanofluids , 2012 .

[30]  Abdul Aziz,et al.  Boundary layer flow of a nanofluid past a stretching sheet with a convective boundary condition , 2011 .

[31]  Hicham Zerradi,et al.  New Nusselt number correlations to predict the thermal conductivity of nanofluids , 2014 .

[32]  Z. Lavan,et al.  Entropy generation in combined heat and mass transfer , 1987 .

[33]  A. Bejan.  Entropy Generation Minimization: The Method of Thermodynamic Optimization of Finite-Size Systems and Finite-Time Processes , 1995 .

[34]  H. Azizi-Toupkanloo,et al.  Structural, electrical, and rheological properties of palladium/silver bimetallic nanoparticles prepared by conventional and ultrasonic-assisted reduction methods , 2014 .

[35]  Soraya Aïboud,et al.  Second Law Analysis of Viscoelastic Fluid over a Stretching Sheet Subject to a Transverse Magnetic Field with Heat and Mass Transfer , 2010, Entropy.

[36]  Robert A. Van Gorder,et al.  Casson Fluid Flow and Heat Transfer at an Exponentially Stretching Permeable Surface , 2013 .

[37]  Size-dependent effect of gold nanospheres on the acoustic pressure pulses from laser-irradiated suspensions , 2014 .

[38]  D. Ganji,et al.  Thermodynamic optimization of fluid flow over an isothermal moving plate , 2013 .

[39]  Navid Freidoonimehr,et al.  Parametric analysis and optimization of entropy generation in unsteady MHD flow over a stretching rotating disk using artificial neural network and particle swarm optimization algorithm , 2013 .

[40]  Navid Freidoonimehr,et al.  Homotopy simulation of nanofluid dynamics from a non-linearly stretching isothermal permeable sheet with transpiration , 2014 .

[41]  M. Hajmohammadi,et al.  Conjugate Forced Convection Heat Transfer From a Heated Flat Plate of Finite Thickness and Temperature- Dependent Thermal Conductivity , 2014 .

[42]  Chao-Yang Wang,et al.  Flow due to a stretching boundary with partial slip—an exact solution of the Navier–Stokes equations , 2002 .

[43]  M. R. Hajmohammadi,et al.  Improvement of Forced Convection Cooling Due to the Attachment of Heat Sources to a Conducting Thick Plate , 2013 .

[44]  Mustafa Turkyilmazoglu,et al.  Heat and mass transfer of the flow due to a rotating rough and porous disk , 2013 .

[45]  Stephen U. S. Choi.  Enhancing thermal conductivity of fluids with nano-particles , 1995 .

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

[47]  O. Joneydi Shariatzadeh,et al.  Effects of a Thick Plate on the Excess Temperature of Iso-Heat Flux Heat Sources Cooled by Laminar Forced Convection Flow: Conjugate Analysis , 2014 .

[48]  C. Y. Wang,et al.  Free convection on a vertical stretching surface , 1989 .

[49]  Rama Subba Reddy Gorla,et al.  Free convection on a vertical stretching surface with suction and blowing , 1994 .

[50]  Hakan F. Oztop,et al.  A review on entropy generation in natural and mixed convection heat transfer for energy systems , 2012 .

[51]  Davood Domiri Ganji,et al.  Brownian motion and thermophoresis effects on slip flow of alumina/water nanofluid inside a circular microchannel in the presence of a magnetic field , 2014 .

[52]  Ammar Ben Brahim,et al.  Second Law Analysis in Convective Heat and Mass Transfer , 2006, Entropy.