Analysis of activation energy in Couette-Poiseuille flow of nanofluid in the presence of chemical reaction and convective boundary conditions

Abstract The motivation of the current article is to explore the energy activation in MHD radiative Couette-Poiseuille flow nanofluid in horizontal channel with convective boundary conditions. The mathematical model of Buongiorno [1] effectively describes the current flow analysis. Additionally, the impact of chemical reaction is also taken in account. The governing flow equations are simplified with the help of boundary layer approximations. Non-linear coupled equations for momentum, energy and mass transfer are tackled with analytical (HAM) technique. The influence of dimensionless convergence parameter like Brownian motion parameter, radiation parameter, buoyancy ratio parameter, dimensionless activation energy, thermophoresis parameter, temperature difference parameter, dimensionless reaction rate, Schmidt number, Brinkman number, Biot number and convection diffusion parameter on velocity, temperature and concentration profiles are discussed graphically and in tabular form. From the results, it is elaborate that the nanoparticle concentration is directly proportional to the chemical reaction with activation energy and the performance of Brownian motion on nanoparticle concentration gives reverse pattern to that of thermophoresis parameter.

[1]  D. Ganji,et al.  Numerical approach for magnetic nanofluid flow in a porous cavity using CuO nanoparticles , 2017 .

[2]  Mohammad Mehdi Rashidi,et al.  Mixed Convective Heat Transfer for MHD Viscoelastic Fluid Flow over a Porous Wedge with Thermal Radiation , 2014 .

[3]  Melusi Khumalo,et al.  Heat and Mass Transfer in Unsteady Rotating Fluid Flow with Binary Chemical Reaction and Activation Energy , 2014, PloS one.

[4]  M. J. Uddin,et al.  Radiation effects on heat and mass transfer in MHD stagnation-point flow over a permeable flat plate with thermal convective surface boundary condition, temperature dependent viscosity and thermal conductivity , 2012 .

[5]  Tasawar Hayat,et al.  Buoyancy effects on the MHD nanofluid flow past a vertical surface with chemical reaction and activation energy , 2017 .

[6]  M. Tencer,et al.  Arrhenius average temperature: the effective temperature for non-fatigue wearout and long term reliability in variable thermal conditions and climates , 2004, IEEE Transactions on Components and Packaging Technologies.

[7]  Mohammad Mehdi Rashidi,et al.  Entropy Generation with nonlinear heat and Mass transfer on MHD Boundary Layer over a Moving Surface using SLM , 2017 .

[8]  Mohammad Mehdi Rashidi,et al.  Analytical and numerical studies on heat transfer of a nanofluid over a stretching/shrinking sheet with second-order slip flow model , 2016, International Journal of Mechanical and Materials Engineering.

[9]  HEAT TRANSFER THROUGH A POROUS SATURATED CHANNEL WITH PERMEABLE WALLS USING TWO-EQUATION ENERGY MODEL , 2013 .

[10]  T. Hayat,et al.  Effects of heat generation/absorption on stagnation point flow of nanofluid over a surface with convective boundary conditions , 2012 .

[11]  A. Bestman Natural convection boundary layer with suction and mass transfer in a porous medium , 1990 .

[12]  Ammar Mushtaq,et al.  Boundary layer flow of Maxwell fluid in rotating frame with binary chemical reaction and activation energy , 2016 .

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

[14]  S Nadeem,et al.  Squeezed flow of a nanofluid with Cattaneo–Christov heat and mass fluxes , 2017 .

[15]  Naveed Ahmed,et al.  Heat and mass transfer analysis for MHD flow of nanofluid inconvergent/divergent channels with stretchable walls using Buongiorno’s model , 2017, Neural Computing and Applications.

[16]  Tasawar Hayat,et al.  Boundary layer flow of a nanofluid over an exponentially stretching sheet with convective boundary conditions , 2013 .

[17]  S. K. Parida,et al.  Effect of radiation and chemical reaction on natural convective MHD flow through a porous medium with double diffusion , 2014 .

[18]  Rahmat Ellahi,et al.  Convective heat transfer of nanofluid in a wavy channel: Buongiorno's mathematical model , 2016 .

[19]  R. Ellahi,et al.  Shape effects of spherical and nonspherical nanoparticles in mixed convection flow over a vertical stretching permeable sheet , 2017 .

[20]  I. Pop,et al.  Analysis of mixed convection flow of a nanofluid in a vertical channel with the Buongiorno mathematical model , 2013 .

[21]  Rakesh Kumar,et al.  Numerical modeling of time-dependent bio-convective stagnation flow of a nanofluid in slip regime , 2017 .

[22]  Mohammad Mehdi Rashidi,et al.  Entropy Generation on Nanofluid Flow through a Horizontal Riga Plate , 2016, Entropy.

[23]  Donald A. Nield,et al.  Natural convective boundary-layer flow of a nanofluid past a vertical plate , 2010 .

[24]  Mohammad Mehdi Rashidi,et al.  Approximate solutions for the Burger and regularized long wave equations by means of the homotopy analysis method , 2009 .

[25]  K. Maleque Effects of Binary Chemical Reaction and Activation Energy on MHD Boundary Layer Heat and Mass Transfer Flow with Viscous Dissipation and Heat Generation/Absorption , 2013 .

[26]  Mohsen Sheikholeslami,et al.  Forced convection of nanofluid in presence of constant magnetic field considering shape effects of nanoparticles , 2017 .

[27]  Bijjanal Jayanna Gireesha,et al.  Influence of heat source/sink on a Maxwell fluid over a stretching surface with convective boundary condition in the presence of nanoparticles , 2014 .

[28]  A. Zeeshan,et al.  Effects on heat transfer of multiphase magnetic fluid due to circular magnetic field over a stretching surface with heat source/sink and thermal radiation , 2017 .

[29]  G. Ibáñez,et al.  Entropy generation analysis of MHD nanofluid flow in a porous vertical microchannel with nonlinear thermal radiation, slip flow and convective-radiative boundary conditions , 2017 .

[30]  A. Zeeshan,et al.  Convective Poiseuille flow of Al2O3-EG nanofluid in a porous wavy channel with thermal radiation , 2017, Neural Computing and Applications.

[31]  M. Sheikholeslami Magnetic field influence on CuO–H2O nanofluid convective flow in a permeable cavity considering various shapes for nanoparticles , 2017 .

[32]  I. Pop,et al.  Magnetic field effect on the unsteady free convection flow in a square cavity filled with a porous medium with a constant heat generation , 2011 .

[33]  Ahmad Zeeshan,et al.  Hydromagnetic nanofluid flow past a stretching cylinder embedded in non-Darcian Forchheimer porous media , 2017, Neural Computing and Applications.

[34]  Liancun Zheng,et al.  MHD flow and radiation heat transfer of nanofluids in porous media with variable surface heat flux and chemical reaction , 2015 .

[35]  J. Buongiorno Convective Transport in Nanofluids , 2006 .

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

[37]  Y. Daniel,et al.  Effects of slip and convective conditions on MHD flow of nanofluid over a porous nonlinear stretching/shrinking sheet , 2017 .