Numerical simulation of heat transfer in MHD stagnation point flow of Cross fluid model towards a stretched surface

Abstract The present investigation studies heat transfer in MHD stagnation point flow of Cross fluid over a stretched surface. A Cross fluid is a kind of generalized Newtonian liquid whose viscosity relies on shear rate. Fluid is electrically conducting in the presence of an applied magnetics fluids. System of ordinary differential equations is obtained by appropriate transformation. The flow equations are solved with the help of Runga-Kutta-Fehlberg method. Convergent series solutions are computed for the resulting nonlinear differential system. Impact of different parameters on the velocity and temperature profiles is studied. It is observed that velocity distribution decreases for larger values of Weissenberg number. However temperature decays for rising values of Prandtl number. Further computation for surface drag force and heat transfer rate are presented and discussed through numerical data.

[1]  L. Crane.  Flow past a stretching plate , 1970 .

[2]  Oluwole Daniel Makinde,et al.  Thermophoresis and Brownian motion effects on MHD bioconvection of nanofluid with nonlinear thermal radiation and quartic chemical reaction past an upper horizontal surface of a paraboloid of revolution , 2016 .

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

[4]  Lin Liu,et al.  MHD viscoelastic flow and heat transfer over a vertical stretching sheet with Cattaneo-Christov heat flux effects , 2016 .

[5]  S. K. Nandy,et al.  Effects of slip and heat generation/absorption on MHD stagnation flow of nanofluid past a stretching/shrinking surface with convective boundary conditions , 2013 .

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

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

[8]  M. R. Eid,et al.  Chemical reaction effect on MHD boundary-layer flow of two-phase nanofluid model over an exponentially stretching sheet with a heat generation , 2016 .

[9]  B. J. Gireesha,et al.  Nonlinear radiative heat transfer in MHD three-dimensional flow of water based nanofluid over a non-linearly stretching sheet with convective boundary condition , 2016 .

[10]  Sohail Nadeem,et al.  Numerical study of MHD boundary layer flow of a Maxwell fluid past a stretching sheet in the presence of nanoparticles , 2013 .

[11]  Mustafa Turkyilmazoglu,et al.  Three dimensional MHD flow and heat transfer over a stretching/shrinking surface in a viscoelastic fluid with various physical effects , 2014 .

[12]  B. J. Gireesha,et al.  Stagnation point flow of Maxwell fluid towards a permeable surface in the presence of nanoparticles , 2016 .

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

[14]  Sabir Ali Shehzad,et al.  Numerical solutions for magnetohydrodynamic flow of nanofluid over a bidirectional non-linear stretching surface with prescribed surface heat flux boundary , 2016 .

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

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

[17]  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.

[18]  Ahmed Alsaedi,et al.  Mathematical modeling of non-Newtonian fluid with chemical aspects: A new formulation and results by numerical technique , 2017 .

[19]  Muhammad Ijaz Khan,et al.  Ferrofluid flow by a stretched surface in the presence of magnetic dipole and homogeneous-heterogeneous reactions , 2016 .

[20]  K. Parekh,et al.  Experimental investigation of thermal conductivity of magnetic nanofluids , 2012 .

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

[22]  Hakan F. Oztop,et al.  Natural convection and entropy generation of nanofluid filled cavity having different shaped obstacles under the influence of magnetic field and internal heat generation , 2015 .

[23]  J. Vicente,et al.  Controlling friction using magnetic nanofluids , 2011 .

[24]  Liancun Zheng,et al.  Time–space dependent fractional boundary layer flow of Maxwell fluid over an unsteady stretching surface , 2015 .

[25]  Ahmed Alsaedi,et al.  Thermally radiative stagnation point flow of Maxwell nanofluid due to unsteady convectively heated stretched surface , 2016 .