Nonlinear thermal radiation in flow induced by a slendering surface accounting thermophoresis and Brownian diffusion

Abstract.Our attention here in this research is on scrutinizing the nonlinear convection characteristics in a flow induced by a slendering surface. Flow expression is developed through electrically conducting Williamson nanomaterial. Nonlinear forms of stretching and free stream velocities are imposed. Consideration of nonlinear thermal radiation, non-uniform heat generation/absorption, Joule and convective heating aspects describe the phenomenon of heat transfer. The zero-mass condition for concentration is also considered. The compatible transformations produce strong nonlinear differential systems. The problems are computed analytically utilizing the bvp4c procedure. Heat transfer rate and drag force are also explained for various physical variables. Our analysis reveals that the heat transfer rate augments via larger radiation parameter and Biot number. Moreover, larger Brownian motion and thermophoresis parameters have opposite characteristics on concentration field. For the verification of the present findings, the results of the presented analysis have been compared with the available works in particular situations and reasonable agreement is noted.

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

[2]  H. Masuda,et al.  ALTERATION OF THERMAL CONDUCTIVITY AND VISCOSITY OF LIQUID BY DISPERSING ULTRA-FINE PARTICLES. DISPERSION OF AL2O3, SIO2 AND TIO2 ULTRA-FINE PARTICLES , 1993 .

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

[4]  Kuppalapalle Vajravelu,et al.  Nonlinear convection at a porous flat plate with application to heat transfer from a dike , 2003 .

[5]  A. Sharma,et al.  Review on thermal energy storage with phase change materials and applications , 2009 .

[6]  Jiajia Niu,et al.  Dual solutions for flow and radiative heat transfer of a micropolar fluid over stretching/shrinking sheet , 2012 .

[7]  S. Motsa,et al.  Viscous and Joule Heating in the Stagnation Point Nanofluid Flow Through a Stretching Sheet With Homogenous–Heterogeneous Reactions and Nonlinear Convection , 2013 .

[8]  Tiegang Fang,et al.  Sakiadis flow with nonlinear Rosseland thermal radiation , 2012 .

[9]  D. Ganji,et al.  Heat generation/absorption on MHD stagnation flow of nanofluid towards a porous stretching sheet with prescribed surface heat flux , 2014 .

[10]  R. Cortell,et al.  Fluid flow and radiative nonlinear heat transfer over a stretching sheet , 2014 .

[11]  Tasawar Hayat,et al.  MHD 2D flow of Williamson nanofluid over a nonlinear variable thicked surface with melting heat transfer , 2016 .

[12]  T. Hayat,et al.  On model of Burgers fluid subject to magneto nanoparticles and convective conditions , 2016 .

[13]  Tasawar Hayat,et al.  Water-carbon nanofluid flow with variable heat flux by a thin needle , 2016 .

[14]  P. Sibanda,et al.  Non-linear thermal convection in a Casson fluid flow over a horizontal plate with convective boundary condition , 2016 .

[15]  W. Khan,et al.  Steady flow of Burgers’ nanofluid over a stretching surface with heat generation/absorption , 2016 .

[16]  Tasawar Hayat,et al.  Cattaneo-Christov heat flux model for flow of variable thermal conductivity generalized Burgers fluid , 2016 .

[17]  F. M. Abbasi,et al.  Heat transfer analysis for three-dimensional flow of Maxwell fluid with temperature dependent thermal conductivity: Application of Cattaneo-Christov heat flux model , 2016 .

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

[19]  Tasawar Hayat,et al.  Cattaneo-Christov heat flux model for Darcy-Forchheimer flow of an Oldroyd-B fluid with variable conductivity and non-linear convection , 2016 .

[20]  N. Sandeep,et al.  3D MHD slip flow of a nanofluid over a slendering stretching sheet with thermophoresis and Brownian motion effects , 2016 .

[21]  Muhammad Ijaz Khan,et al.  Numerical simulation for nonlinear radiative flow by convective cylinder , 2016 .

[22]  A. Abdollahi,et al.  Experimental investigation on the boiling heat transfer of nanofluids on a flat plate in the presence of a magnetic field , 2016, The European Physical Journal Plus.

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

[24]  W. Khan,et al.  Non-linear radiative flow of three-dimensional Burgers nanofluid with new mass flux effect , 2016 .

[25]  Ahmed Alsaedi,et al.  A comparative study of Casson fluid with homogeneous-heterogeneous reactions. , 2017, Journal of colloid and interface science.

[26]  Ahmed Alsaedi,et al.  Numerically framing the features of second order velocity slip in mixed convective flow of Sisko nanomaterial considering gyrotactic microorganisms , 2017 .

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

[28]  Tasawar Hayat,et al.  Effectiveness of magnetic nanoparticles in radiative flow of Eyring-Powell fluid , 2017, Journal of Molecular Liquids.

[29]  K. Das,et al.  Stefan blowing effects on MHD bioconvection flow of a nanofluid in the presence of gyrotactic microorganisms with active and passive nanoparticles flux , 2017 .

[30]  M. Irfan,et al.  Impact of chemical processes on magneto nanoparticle for the generalized Burgers fluid , 2017 .

[31]  Ahmed Alsaedi,et al.  MHD boundary layer thermal slip flow by nonlinearly stretching cylinder with suction/blowing and radiation , 2017 .

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

[33]  Tasawar Hayat,et al.  Newtonian heating effect in nanofluid flow by a permeable cylinder , 2017 .

[34]  T. Hayat,et al.  Magnetohydrodynamic (MHD) nonlinear convective flow of Walters-B nanofluid over a nonlinear stretching sheet with variable thickness , 2017 .

[35]  Tasawar Hayat,et al.  Magnetohydrodynamic (MHD) stratified bioconvective flow of nanofluid due to gyrotactic microorganisms , 2017 .

[36]  F. M. Abbasi,et al.  Nonlinear convection in nano Maxwell fluid with nonlinear thermal radiation: A three-dimensional study , 2017, Alexandria Engineering Journal.