Numerical solution for Sakiadis flow of upper-convected Maxwell fluid using Cattaneo-Christov heat flux model

Present work studies the well-known Sakiadis flow of Maxwell fluid along a moving plate in a calm fluid by considering the Cattaneo-Christov heat flux model. This recently developed model has the tendency to describe the characteristics of relaxation time for heat flux. Some numerical local similarity solutions of the associated problem are computed by two approaches namely (i) the shooting method and (ii) the Keller-box method. The solution is dependent on some interesting parameters which include the viscoelastic fluid parameter β, the dimensionless thermal relaxation time γ and the Prandtl number Pr. Our simulations indicate that variation in the temperature distribution with an increase in local Deborah number γ is non-monotonic. The results for the Fourier’s heat conduction law can be obtained as special cases of the present study.

[1]  Muhammad Imran,et al.  Unsteady helical flows of Oldroyd-B fluids , 2011 .

[2]  T. Hayat,et al.  Momentum and heat transfer of an upper-convected Maxwell fluid over a moving surface with convective boundary conditions , 2012 .

[3]  Rafael Cortell,et al.  A Numerical Tackling on Sakiadis Flow with Thermal Radiation , 2008 .

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

[5]  Tasawar Hayat,et al.  A numerical study for three-dimensional viscoelastic flow inspired by non-linear radiative heat flux , 2016 .

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

[7]  Tasawar Hayat,et al.  Melting heat transfer in the stagnation‐point flow of an upper‐convected Maxwell (UCM) fluid past a stretching sheet , 2012 .

[8]  G. Nath,et al.  Steady mixed convection stagnation-point flow of upper convected Maxwell fluids with magnetic field , 2009 .

[9]  T. Hayat,et al.  Effects of Thermal Radiation on the Stagnation-Point Flow of Upper-Convected Maxwell Fluid over a Stretching Sheet , 2014 .

[10]  M. Nandeppanavar,et al.  MHD flow and heat transfer for the upper-convected Maxwell fluid over a stretching sheet , 2012 .

[11]  T. Hayat,et al.  MHD stagnation-point flow of an upper-convected Maxwell fluid over a stretching surface , 2009 .

[12]  T. Hayat,et al.  MHD three-dimensional flow of Maxwell fluid with variable thermal conductivity and heat source/sink , 2014 .

[13]  S. Mukhopadhyay.  Heat Transfer Analysis of the Unsteady Flow of a Maxwell Fluid over a Stretching Surface in the Presence of a Heat Source/Sink , 2012 .

[14]  Stanford Shateyi.  A new numerical approach to MHD flow of a Maxwell fluid past a vertical stretching sheet in the presence of thermophoresis and chemical reaction , 2013 .

[15]  S. Taghavi,et al.  Stagnation-point flow of upper-convected Maxwell fluids , 2006 .

[16]  K. Sadeghy,et al.  Sakiadis flow of an upper-convected Maxwell fluid , 2005 .

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