Cattaneo-Christov heat flux model for flow of variable thermal conductivity generalized Burgers fluid

Abstract An attempt has been made to study the characteristics of generalized Burgers fluid over a stretched surface. Cattaneo-Christov heat flux model is utilized for the formulation of the energy equation instead of Fourier's law of heat conduction. This model can foresee the impacts of thermal relaxation time on the boundary layer phenomenon. Employing appropriate transformations the coupled nonlinear partial differential equations are converted into a set of coupled nonlinear ordinary differential equations. Convergent series solutions are developed for the arising governing equations through the homotopy analysis method (HAM) to explore the features of various pertinent parameters for the velocity and temperature distributions. The obtained results are presented in tabular form as well as graphically and discussed in detail. Our calculations witness that fluid temperature has converse relationship with the thermal relaxation time.

[1]  W. Khan,et al.  Forced convection analysis for generalized Burgers nanofluid flow over a stretching sheet , 2015 .

[2]  Tasawar Hayat,et al.  Impact of Cattaneo-Christov heat flux in the flow over a stretching sheet with variable thickness , 2015 .

[3]  Tasawar Hayat,et al.  Mixed convection flow of viscoelastic nanofluid by a cylinder with variable thermal conductivity and heat source/sink , 2016 .

[4]  Liancun Zheng,et al.  Mixed convection heat transfer in power law fluids over a moving conveyor along an inclined plate , 2015 .

[5]  Davood Domiri Ganji,et al.  Micropolar fluid flow and heat transfer in a permeable channel using analytical method , 2014 .

[6]  T. Hayat,et al.  Stagnation point flow of Burgers' fluid over a stretching surface , 2013 .

[7]  Tasawar Hayat,et al.  Numerical and analytical solutions for Falkner-Skan flow of MHD Oldroyd-B fluid , 2014 .

[8]  Saleem Asghar,et al.  Effect of inclined magnetic field in flow of third grade fluid with variable thermal conductivity , 2015 .

[9]  Liancun Zheng,et al.  Boundary layer heat and mass transfer with Cattaneo–Christov double-diffusion in upper-convected Maxwell nanofluid past a stretching sheet with slip velocity , 2016 .

[10]  T. Hayat,et al.  Effects of homogeneous and heterogeneous reactions and melting heat in the viscoelastic fluid flow , 2016 .

[11]  C. Cattaneo,et al.  Sulla Conduzione Del Calore , 2011 .

[12]  I. Jackson,et al.  High-temperature viscoelasticity of fine-grained polycrystalline olivine , 2001 .

[13]  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..

[14]  Corina Fetecau,et al.  Some exact solutions for rotating flows of a generalized Burgers fluid in cylindrical domains , 2010 .

[15]  Brian Straughan,et al.  Thermal convection with the Cattaneo–Christov model , 2010 .

[16]  A. Alsaedi,et al.  Numerical Study of Cattaneo-Christov Heat Flux Model for Viscoelastic Flow Due to an Exponentially Stretching Surface , 2015, PloS one.

[17]  Fawang Liu,et al.  Anomalous convection diffusion and wave coupling transport of cells on comb frame with fractional Cattaneo-Christov flux , 2016, Commun. Nonlinear Sci. Numer. Simul..

[18]  Tasawar Hayat,et al.  Effects of Joule heating and thermophoresis on the stretched flow with convective boundary condition , 2014 .

[19]  C. Ng,et al.  Unsteady convective boundary layer flow of a viscous fluid at a vertical surface with variable fluid properties , 2013 .

[20]  Christo I. Christov,et al.  On frame indifferent formulation of the Maxwell-Cattaneo model of finite-speed heat conduction , 2009 .

[21]  Tasawar Hayat,et al.  Effects of Heat Transfer in Flow of Nanofluids Over a Permeable Stretching Wall in a Porous Medium , 2014 .

[22]  T. Hayat,et al.  Three-dimensional rotating flow of Jeffrey fluid for Cattaneo-Christov heat flux model , 2016 .

[23]  Tasawar Hayat,et al.  Mixed Convection Flow of Viscoelastic Fluid by a Stretching Cylinder with Heat Transfer , 2015, PloS one.

[24]  Ahmed Alsaedi,et al.  MHD 3D flow of nanofluid in presence of convective conditions , 2015 .

[25]  T. Hayat,et al.  MHD stagnation point flow of Jeffrey fluid by a radially stretching surface with viscous dissipation and Joule heating , 2015 .

[26]  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..

[27]  T. Hayat,et al.  Exact solution for rotating flows of a generalized Burgers’ fluid in a porous space , 2008 .

[28]  T. Hayat,et al.  Impact of magnetic field in three-dimensional flow of an Oldroyd-B nanofluid , 2015 .

[29]  T. Hayat,et al.  Interaction of magnetic field in flow of Maxwell nanofluid with convective effect , 2015 .

[30]  T. Hayat,et al.  Stretched flow of Carreau nanofluid with convective boundary condition , 2016 .

[31]  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 .

[32]  S. Haddad,et al.  Thermal instability in Brinkman porous media with Cattaneo–Christov heat flux , 2014 .

[33]  Xinxin Zhang,et al.  Coupled flow and heat transfer in viscoelastic fluid with Cattaneo-Christov heat flux model , 2014, Appl. Math. Lett..

[34]  Vittorio Zampoli,et al.  A uniqueness result for the Cattaneo–Christov heat conduction model applied to incompressible fluids , 2011 .

[35]  Tasawar Hayat,et al.  A model of solar radiation and Joule heating in magnetohydrodynamic (MHD) convective flow of thixotropic nanofluid , 2016 .

[36]  Ahmed Alsaedi,et al.  On Cattaneo–Christov heat flux in MHD flow of Oldroyd-B fluid with homogeneous–heterogeneous reactions , 2016 .

[37]  Liancun Zheng,et al.  MHD pseudo-plastic nanofluid unsteady flow and heat transfer in a finite thin film over stretching surface with internal heat generation , 2015 .

[38]  Meraj Mustafa,et al.  Cattaneo-Christov heat flux model for rotating flow and heat transfer of upper-convected Maxwell fluid , 2015 .

[39]  T. Hayat,et al.  Impact of Cattaneo-Christov Heat Flux in Jeffrey Fluid Flow with Homogeneous-Heterogeneous Reactions , 2016, PloS one.

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

[41]  Liancun Zheng,et al.  MHD mixed convective heat transfer over a permeable stretching wedge with thermal radiation and ohmic heating , 2012 .

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

[43]  F. M. Abbasi,et al.  Analytical study of Cattaneo–Christov heat flux model for a boundary layer flow of Oldroyd-B fluid , 2015 .