Mixed convective three-dimensional flow of Williamson nanofluid subject to chemical reaction

Abstract Main theme of this article is to model and analyze the outcome of chemically reactive flow of nanomaterial. Nanomaterial comprises thermophoresis and Brownian motion. Bidirectional nonlinear stretching sheet of constant thickness is considered. Rheological expressions of Williamson fluid is used to develop formulation. Boundary layer approach and suitable transformations are utilized to simplify the governing equations. Optimal homotopy analysis method OHAM is utilized for values of convergence control parameters. Tabulated values of skin friction coefficients and Nusselt and Sherwood numbers via different parameters are calculated and examined. Physical features of various pertinent parameters are argued through graphs. It is observed that velocity decays in x-direction for higher values of magnetic parameter. Temperature and concentration have contrast behavior for larger Brownian motion.

[1]  T. Hayat,et al.  On magnetohydrodynamic flow of second grade nanofluid over a convectively heated nonlinear stretching surface , 2016 .

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

[3]  Tasawar Hayat,et al.  Impacts of constructive and destructive chemical reactions in magnetohydrodynamic (MHD) flow of Jeffrey liquid due to nonlinear radially stretched surface , 2017 .

[4]  Ahmed Alsaedi,et al.  Flow of magneto nanofluid by a radiative exponentially stretching surface with dissipation effect , 2016 .

[5]  M. Y. Malik,et al.  Numerical investigation of magnetohydrodynamic stagnation point flow with variable properties , 2016 .

[6]  T. Hayat,et al.  On analysis of magneto Maxwell nano-material by surface with variable thickness , 2017 .

[7]  Hiranmoy Mondal,et al.  MHD non-Darcian mixed convection heat and mass transfer over a non-linear stretching sheet with Soret–Dufour effects and chemical reaction , 2011 .

[8]  A. Alsaedi,et al.  Nonlinear thermal radiation in flow induced by a slendering surface accounting thermophoresis and Brownian diffusion , 2017 .

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

[10]  Muhammad Awais,et al.  MHD flow of Cattanneo–Christov heat flux model for Williamson fluid over a stretching sheet with variable thickness: Using numerical approach , 2016 .

[11]  S. Jafari,et al.  Analytical solution of convective heat transfer of a quiescent fluid over a nonlinearly stretching surface using Homotopy Analysis Method , 2018, Results in Physics.

[12]  Ahmed Alsaedi,et al.  Magnetohydrodynamic (MHD) mixed convection flow of micropolar liquid due to nonlinear stretched sheet with convective condition , 2016 .

[13]  Sohail Nadeem,et al.  Brazilian Journal of Chemical Engineering FLOW OF A WILLIAMSON FLUID OVER A STRETCHING SHEET , 2013 .

[14]  Tasawar Hayat,et al.  Unsteady three-dimensional mixed convection flow with variable viscosity and thermal conductivity , 2016 .

[15]  Y. Xuan,et al.  Investigation on Convective Heat Transfer and Flow Features of Nanofluids , 2003 .

[16]  T. Hayat,et al.  MHD boundary-layer flow of an upper-convected Maxwell fluid in a porous channel , 2006 .

[17]  Mohammad Mehdi Rashidi,et al.  Lie Group Solution for Free Convective Flow of a Nanofluid Past a Chemically Reacting Horizontal Plate in a Porous Media , 2014 .

[18]  Tasawar Hayat,et al.  Radiative flow of micropolar nanofluid accounting thermophoresis and Brownian moment , 2017 .

[19]  Ahmed Alsaedi,et al.  Thermally stratified stretching flow with Cattaneo–Christov heat flux , 2017 .

[20]  M. Awais,et al.  Time-dependent three-dimensional boundary layer flow of a Maxwell fluid , 2014 .

[21]  T. Hayat,et al.  Local similar solution of MHD stagnation point flow in Carreau fluid over a non-linear stretched surface with double stratified medium , 2017 .

[22]  T. Hayat,et al.  Magnetohydrodynamic three-dimensional nonlinear convection flow of Oldroyd-B nanoliquid with heat generation/absorption , 2017 .

[23]  Ahmed Alsaedi,et al.  Entropy generation minimization (EGM) for convection nanomaterial flow with nonlinear radiative heat flux , 2018, Journal of Molecular Liquids.

[24]  Ali J. Chamkha,et al.  HEAT AND MASS TRANSFER IN STAGNATION-POINT FLOW OF A POLAR FLUID TOWARDS A STRETCHING SURFACE IN POROUS MEDIA IN THE PRESENCE OF SORET, DUFOUR AND CHEMICAL REACTION EFFECTS , 2010 .

[25]  M. Y. Malik,et al.  Homogeneous-heterogeneous reactions in Williamson fluid model over a stretching cylinder by using Keller box method , 2015 .

[26]  Ahmed Alsaedi,et al.  Magnetohydrodynamic (MHD) three-dimensional flow of second grade nanofluid by a convectively heated exponentially stretching surface , 2016 .

[27]  R. V. Williamson The Flow of Pseudoplastic Materials , 1929 .

[28]  T. Hayat,et al.  Unsteady flow with heat and mass transfer of a third grade fluid over a stretching surface in the presence of chemical reaction , 2010 .

[29]  Ahmed Alsaedi,et al.  Entropy generation in flow with silver and copper nanoparticles , 2018 .

[30]  Muhammad Ijaz Khan,et al.  Activation energy impact in nonlinear radiative stagnation point flow of Cross nanofluid , 2018 .

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

[32]  Tasawar Hayat,et al.  Diffusion of chemically reactive species in third grade fluid flow over an exponentially stretching sheet considering magnetic field effects , 2017 .

[33]  Tasawar Hayat,et al.  Behavior of stratification phenomenon in flow of Maxwell nanomaterial with motile gyrotactic microorganisms in the presence of magnetic field , 2017 .

[34]  T. Hayat,et al.  Stagnation point flow of viscoelastic nanomaterial over a stretched surface , 2018, Results in Physics.

[35]  Ji Zhang,et al.  Boundary layer flow over a stretching sheet with variable thickness , 2012, Appl. Math. Comput..

[36]  Muhammad Ijaz Khan,et al.  Magnetohydrodynamic (MHD) stagnation point flow of Casson fluid over a stretched surface with homogeneous–heterogeneous reactions , 2017 .

[37]  T. Hayat,et al.  Outcome of homogeneous and heterogeneous reactions in Darcy-Forchheimer flow with nonlinear thermal radiation and convective condition , 2017 .

[38]  Xinxin Zhang,et al.  Flow and radiation heat transfer of a nanofluid over a stretching sheet with velocity slip and temperature jump in porous medium , 2013, J. Frankl. Inst..

[39]  Tasawar Hayat,et al.  Impact of Cattaneo–Christov heat flux model in flow of variable thermal conductivity fluid over a variable thicked surface , 2016 .

[40]  Ahmed Alsaedi,et al.  Analysis of thixotropic nanomaterial in a doubly stratified medium considering magnetic field effects , 2016 .

[41]  Sharidan Shafie,et al.  Effect of thermal stratification on MHD free convection with heat and mass transfer over an unsteady stretching surface with heat source, Hall current and chemical reaction , 2012 .

[42]  T. Hayat,et al.  An optimal study for three-dimensional flow of Maxwell nanofluid subject to rotating frame , 2017 .

[43]  T. Hayat,et al.  Thermophoresis particle deposition in mixed convection three-dimensional radiative flow of an Oldroyd-B fluid , 2014 .

[44]  D. Pal,et al.  Influence of thermal radiation on mixed convection heat and mass transfer stagnation-point flow in nanofluids over stretching/shrinking sheet in a porous medium with chemical reaction , 2014 .

[45]  Ahmed Alsaedi,et al.  MHD stagnation point flow of viscoelastic nanofluid with non-linear radiation effects , 2016 .

[46]  I. Hashim,et al.  Thermophoresis and chemical reaction effects on non-Darcy MHD mixed convective heat and mass transfer past a porous wedge in the presence of variable stream condition , 2009 .

[47]  Tasawar Hayat,et al.  Steady flow of an Eyring Powell fluid over a moving surface with convective boundary conditions , 2012 .

[48]  Ahmed Alsaedi,et al.  Viscous dissipation effect in flow of magnetonanofluid with variable properties , 2016 .

[49]  B. J. Gireesha,et al.  Effect of chemical reaction on MHD boundary layer flow and melting heat transfer of Williamson nanofluid in porous medium , 2016 .

[50]  T. Hayat,et al.  Impact of chemical reaction in fully developed radiated mixed convective flow between two rotating disk , 2018, Physica B: Condensed Matter.

[51]  A. Alsaedi,et al.  Squeezing flow of second grade liquid subject to non-Fourier heat flux and heat generation/absorption , 2017, Colloid and Polymer Science.

[52]  T. Hayat,et al.  On framing potential features of SWCNTs and MWCNTs in mixed convective flow , 2018 .

[53]  J. Sadeghi,et al.  Quantum tunneling from the charged non-rotating BTZ black hole with GUP , 2016, 1605.04595.