Investigation of second grade fluid through temperature dependent thermal conductivity and non-Fourier heat flux

Abstract Here we investigated stagnation point flow of second grade fluid over a stretchable cylinder. Heat transfer is characterized by non-Fourier law of heat flux and thermal stratification. Temperature dependent thermal conductivity and activation energy are also accounted. Transformations procedure is applying to transform the governing PDE’s into ODE’s. Obtained system of ODE’s are solved analytically by HAM. Influence of flow variables on velocity, temperature, concentration, skin friction and Sherwood number are analyzed. Obtained outcome shows that velocity enhanced through curvature parameter, viscoelastic parameter and velocities ratio variable. Temperature decays for larger Prandtl number, thermal stratification, thermal relaxation and curvature parameter. Sherwood number and concentration field show opposite behavior for higher estimation of activation energy, reaction rate, curvature parameter and Schmidt number.

[1]  T. Hayat,et al.  Magnetohydrodynamic flow of burgers fluid with heat source and power law heat flux , 2017 .

[2]  Z. Ibrahim,et al.  Numerical investigation of the vortex-induced vibration of an elastically mounted circular cylinder at high Reynolds number (Re = 104) and low mass ratio using the RANS code , 2017, PloS one.

[3]  Tasawar Hayat,et al.  Simulation of ferromagnetic nanomaterial flow of Maxwell fluid , 2018 .

[4]  Azeem Shahzad,et al.  On the Exact Solution for Axisymmetric Flow and Heat Transfer over a Nonlinear Radially Stretching Sheet , 2012 .

[5]  Ahmed Alsaedi,et al.  Stagnation point flow with Cattaneo-Christov heat flux and homogeneous-heterogeneous reactions , 2016 .

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

[7]  Z. Ibrahim,et al.  Numerical investigation of vortex-induced vibration of an elastically mounted circular cylinder with One-degree of freedom at high Reynolds number using different turbulent models , 2019 .

[8]  Shijie Shang.  Anticipating stochastic equation of two-dimensional second grade fluids , 2017, 1706.06367.

[9]  Nadine Aubry,et al.  Heat transfer and flow of a slag-type non-linear fluid: Effects of variable thermal conductivity , 2014, Appl. Math. Comput..

[10]  Rahmat Ellahi,et al.  Analysis of activation energy in Couette-Poiseuille flow of nanofluid in the presence of chemical reaction and convective boundary conditions , 2018 .

[11]  N. Sandeep,et al.  UCM flow across a melting surface in the presence of double stratification and cross-diffusion effects , 2017 .

[12]  Ahmed Alsaedi,et al.  A modified homogeneous-heterogeneous reactions for MHD stagnation flow with viscous dissipation and Joule heating , 2017 .

[13]  Ahmed Alsaedi,et al.  Modeling and analyzing flow of third grade nanofluid due to rotating stretchable disk with chemical reaction and heat source , 2018 .

[14]  J. E. Dunn,et al.  Thermodynamics, stability, and boundedness of fluids of complexity 2 and fluids of second grade , 1974 .

[15]  Tasawar Hayat,et al.  VIV study of an elastically mounted cylinder having low mass-damping ratio using RANS model , 2018, International Journal of Heat and Mass Transfer.

[16]  F. Cipriano,et al.  Well-posedness of stochastic second grade fluids , 2017, 1705.00636.

[17]  M. M. Cross.  Rheology of non-Newtonian fluids: A new flow equation for pseudoplastic systems , 1965 .

[18]  J. E. Dunn,et al.  Fluids of differential type: Critical review and thermodynamic analysis , 1995 .

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

[20]  R. Rivlin,et al.  Stress-Deformation Relations for Isotropic Materials , 1955 .

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

[22]  Ammar Mushtaq,et al.  Boundary layer flow of Maxwell fluid in rotating frame with binary chemical reaction and activation energy , 2016 .

[23]  Saleem Asghar,et al.  Flow of a second grade fluid over a sheet stretching with arbitrary velocities subject to a transverse magnetic field , 2011, Appl. Math. Lett..

[24]  Tasawar Hayat,et al.  Buoyancy effects on the MHD nanofluid flow past a vertical surface with chemical reaction and activation energy , 2017 .

[25]  T. Hayat,et al.  Non-Darcy Forchheimer flow of ferromagnetic second grade fluid , 2017 .

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

[27]  T. Hayat,et al.  Exploring magnetic dipole contribution on radiative flow of ferromagnetic Williamson fluid , 2018 .

[28]  A. Hakeem,et al.  Comparative study on Newtonian/non-Newtonian base fluids with magnetic/non-magnetic nanoparticles over a flat plate with uniform heat flux , 2017 .

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

[30]  Ahmed Alsaedi,et al.  Similarity transformation approach for ferromagnetic mixed convection flow in the presence of chemically reactive magnetic dipole , 2016 .

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

[32]  Tasawar Hayat,et al.  Impact of Marangoni convection in the flow of carbon–water nanofluid with thermal radiation , 2017 .

[33]  W. M. Charles,et al.  Unsteady convection with chemical reaction and radiative heat transfer past a flat porous plate moving through a binary mixture , 2011 .