Investigation of mixed convection flow of Carreau nanofluid over a wedge in the presence of Soret and Dufour effects

Abstract The main purpose of present investigation is to discuss the local non similar solutions of MHD Carreau nano-fluid flow over a wedge in the presence of Brownian motion and thermophoresis effects. Moreover heat and mass transfer characteristics of mixed convection flow are also taken into account with diffusion-thermo (Dufour) and thermal-diffusion (Soret) effects. The wedge surface is sustained at a constant temperature and a constant nano-particle volume fraction. The study is directed through the local non-similar method (LNM) and utilized to convert the governing equations into a system of nonlinear ordinary differential equations. The resulting differential equations of momentum, temperature and concentration are solved through a numerical approach namely bvp4c. Outcomes for the rate of heat and mass transfer are discussed for the parametric variation of magnetic parameter M , wedge angle parameter ξ , Prandtl number Pr , Schmidt number Sc , Soret number Sr , Dufour number Du , Brownian motion parameter Nb , thermophoresis parameter Nt and variable wall temperature and concentration. The graphical and numerical outcome show the considerable decrease in Nusselt number with the increase in Brownian motion parameter and thermophoresis parameter. It is noticed that increasing values of wedge angle parameter ξ increases the velocity profile but opposite trend is observed for the temperature profile. A comparison is made with the earlier published work and found to be in a good agreement.

[1]  Feroz Ahmed Soomro,et al.  Melting heat transfer analysis of Sisko fluid over a moving surface with nonlinear thermal radiation via Collocation method , 2018, International Journal of Heat and Mass Transfer.

[2]  T. Hayat,et al.  Radiative three-dimensional flow with Soret and Dufour effects , 2017 .

[3]  M. Ismoen,et al.  SIMILARITY AND NONSIMILARITY SOLUTIONS ON FLOW AND HEAT TRANSFER OVER A WEDGE WITH POWER LAW STREAM CONDITION , 2015 .

[4]  M. Kamran,et al.  Unsteady axisymmetric flow and heat transfer over time-dependent radially stretching sheet , 2017 .

[5]  Ephraim M Sparrow,et al.  Local Nonsimilar Solutions for Natural Convection on a Vertical Cylinder , 1974 .

[6]  On radiative heat transfer in stagnation point flow of MHD Carreau fluid over a stretched surface , 2018 .

[7]  E. Eckert,et al.  Analysis of heat and mass transfer , 1971 .

[8]  T. Chen,et al.  Mixed Convection on Inclined Surfaces , 1979 .

[9]  B. Mallikarjuna,et al.  Soret and Dufour effects on mixed convection along a vertical wavy surface in a porous medium with variable properties , 2015 .

[10]  Sohail Nadeem,et al.  Thermal radiation and slip effects on MHD stagnation point flow of nanofluid over a stretching sheet , 2015 .

[11]  J. Ahmed,et al.  MHD axisymmetric flow of power-law fluid over an unsteady stretching sheet with convective boundary conditions , 2016 .

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

[13]  J. Lloyd,et al.  Local non-similarity applied to free convection boundary layers withradiation interaction , 1974 .

[14]  Mo Yang,et al.  Oscillatory double-diffusive convection in a horizontal cavity with Soret and Dufour effects , 2016, 1603.06835.

[15]  Mair Khan,et al.  Impact of nonlinear thermal radiation and gyrotactic microorganisms on the Magneto-Burgers nanofluid , 2017 .

[16]  Feroz Ahmed Soomro,et al.  Heat generation/absorption and nonlinear radiation effects on stagnation point flow of nanofluid along a moving surface , 2018 .

[17]  E. Sparrow,et al.  Local non- similarity thermal boundary- layer solutions , 1971 .

[18]  Masood Khan,et al.  Numerical investigation of magneto-nanoparticles for unsteady 3D generalized Newtonian liquid flow , 2017 .

[19]  Ali J. Chamkha,et al.  Radiation Effects on Mixed Convection over a Wedge Embedded in a Porous Medium Filled with a Nanofluid , 2011, Transport in Porous Media.

[20]  Chen-Xi Song,et al.  Numerical investigation on pre-heating of coal water slurry in shell-and-tube heat exchangers with fold helical baffles , 2018, International Journal of Heat and Mass Transfer.

[21]  Hafeez Ur Rehman,et al.  Thermophysical analysis for three-dimensional MHD stagnation-point flow of nano-material influenced by an exponential stretching surface , 2018 .

[22]  D. Pal,et al.  Soret and Dufour effects on MHD non-Darcian mixed convection heat and mass transfer over a stretching sheet with non-uniform heat source/sink , 2012 .

[23]  Masood Khan,et al.  On steady two-dimensional Carreau nanofluid flow in the presence of infinite shear rate viscosity , 2019, Canadian Journal of Physics.

[24]  B. C. Sakiadis Boundary‐layer behavior on continuous solid surfaces: I. Boundary‐layer equations for two‐dimensional and axisymmetric flow , 1961 .

[25]  Tasawar Hayat,et al.  Numerical simulation for magneto Carreau nanofluid model with thermal radiation: A revised model , 2017 .

[26]  A. Alsaedi,et al.  Mixed convective three-dimensional flow of Williamson nanofluid subject to chemical reaction , 2018, International Journal of Heat and Mass Transfer.

[27]  Rizwan Ul Haq,et al.  Numerical simulation of water based magnetite nanoparticles between two parallel disks , 2016 .

[28]  Ahmad Shafee,et al.  Heat transfer behavior of nanoparticle enhanced PCM solidification through an enclosure with V shaped fins , 2019, International Journal of Heat and Mass Transfer.

[29]  M. Yovanovich Local Nonsimilarity Applied to Free Convection Boundary Layers with Radiation Interaction , 1975 .

[30]  Muhammad Ijaz Khan,et al.  Stagnation point flow of hyperbolic tangent fluid with Soret-Dufour effects , 2017 .

[31]  Masood Khan,et al.  A note on convective heat transfer of an MHD Jeffrey fluid over a stretching sheet , 2015 .

[32]  Rizwan Ul Haq,et al.  Thermophysical effects of carbon nanotubes on MHD flow over a stretching surface , 2014 .

[33]  O. Ojjela,et al.  Chemically reacting micropolar fluid flow and heat transfer between expanding or contracting walls with ion slip, Soret and Dufour effects , 2016 .

[34]  Masood Khan,et al.  Influence of non-linear thermal radiation on 2D unsteady flow of a Williamson fluid with heat source/sink , 2017 .

[35]  A. Benim,et al.  Soret and Dufour effects on three dimensional Oldroyd-B fluid , 2018, Physica A: Statistical Mechanics and its Applications.

[36]  Rizwan Ul Haq,et al.  Thermal and velocity slip effects on Casson nanofluid flow over an inclined permeable stretching cylinder via collocation method , 2018, International Journal of Heat and Mass Transfer.

[37]  M. Gulzar,et al.  On multiple solutions of non-Newtonian Carreau fluid flow over an inclined shrinking sheet , 2018 .

[38]  L. Crane Flow past a stretching plate , 1970 .

[39]  On steady two-dimensional Carreau fluid flow over a wedge in the presence of infinite shear rate viscosity , 2018 .

[40]  Muhammad Ijaz Khan,et al.  Soret and Dufour effects in stretching flow of Jeffrey fluid subject to Newtonian heat and mass conditions , 2017 .

[41]  Dulal Pal,et al.  Soret and Dufour effects on MHD convective heat and mass transfer of a power-law fluid over an inclined plate with variable thermal conductivity in a porous medium , 2013, Appl. Math. Comput..

[42]  E. Sparrow,et al.  Local nonsimilarity boundary-layer solutions , 1970 .

[43]  Tasawar Hayat,et al.  Stratified flow of an Oldroyd-B nanoliquid with heat generation , 2017 .

[44]  Sohail Nadeem,et al.  Radiation effects on MHD stagnation point flow of nano fluid towards a stretching surface with convective boundary condition , 2013 .

[45]  Rizwan Ul Haq,et al.  Cu-AlO/Water hybrid nanofluid through a permeable surface in the presence of nonlinear radiation and variable thermal conductivity via LSM , 2018, International Journal of Heat and Mass Transfer.

[46]  H. Andersson MHD flow of a viscoelastic fluid past a stretching surface , 1992 .

[47]  Ching-Yang Cheng,et al.  Soret and Dufour effects on free convection heat and mass transfer from an arbitrarily inclined plate in a porous medium with constant wall temperature and concentration , 2012 .