Influence of thermal radiation and chemical reaction in mixed convection stagnation point flow of Carreau fluid

Abstract This article is devoted to examine the mixed convection stagnation point flow of Carreau fluid with thermal radiation and chemical reaction. Heat transfer analysis is taken into account in the presence of heat generation/absorption. The developed nonlinear partial differential equations are reduced into the ordinary differential equations by suitable transformations. The governing equations are solved for the series solutions. The convergence of the series solutions for velocity, temperature and concentration fields is carefully analyzed. Numerical values of skin friction coefficient, Nusselt and Sherwood numbers are also computed and discussed in the presence of various sundry parameters. A comparative study is provided with the limiting available solution. It is concluded that velocity field enhances for material parameter. Reverse observation of heat generation holds for thermal field and local Nusselt number. Moreover influence of destructive chemical reaction parameter on the concentration and local Sherwood number are quite reverse.

[1]  Liancun Zheng,et al.  A novel investigation of a micropolar fluid characterized by nonlinear constitutive diffusion model in boundary layer flow and heat transfer. , 2017, Physics of fluids.

[2]  Tasawar Hayat,et al.  Mixed Convection Radiative Flow of Maxwell Fluid Near a Stagnation Point with Convective Condition , 2013 .

[3]  T. Hayat,et al.  Mechanisms of nonlinear convective flow of Jeffrey nanofluid due to nonlinear radially stretching sheet with convective conditions and magnetic field , 2017 .

[4]  T. Hayat,et al.  On mixed convection–radiation interaction about an inclined plate through a porous medium , 2013 .

[5]  T. Hayat,et al.  Simultaneous influences of mixed convection and nonlinear thermal radiation in stagnation point flow of Oldroyd-B fluid towards an unsteady convectively heated stretched surface , 2016 .

[6]  Olav R. Hansen,et al.  Diffusion of a chemically reactive species from a stretching sheet , 1994 .

[7]  Ahmed Alsaedi,et al.  Nonlinear convective flow with variable thermal conductivity and Cattaneo-Christov heat flux , 2017, Neural Computing and Applications.

[8]  Tasawar Hayat,et al.  Effects of mass transfer on MHD flow of casson fluid with chemical reaction and suction , 2013 .

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

[10]  T. Hayat,et al.  Radiation effects on the mixed convection flow induced by an inclined stretching cylinder with non-uniform heat source/sink , 2017, PloS one.

[11]  F. Homann.  Der Einfluß großer Zähigkeit bei der Strömung um den Zylinder und um die Kugel , 1936 .

[12]  T. Hayat,et al.  Chemical reaction and heat generation/absorption aspects in MHD nonlinear convective flow of third grade nanofluid over a nonlinear stretching sheet with variable thickness , 2017 .

[13]  Ahmed Alsaedi,et al.  Magnetohydrodynamic (MHD) mixed convection flow of micropolar liquid due to nonlinear stretched sheet with convective condition , 2016 .

[14]  T. Hayat,et al.  Combined thermal stratified and thermal radiation effects in mixed-convection flow of a thixotropic fluid , 2013 .

[15]  Tasawar Hayat,et al.  Radiative flow of a tangent hyperbolic fluid with convective conditions and chemical reaction , 2016 .

[16]  Karl Hiemenz,et al.  Die Grenzschicht an einem in den gleichförmigen Flüssigkeitsstrom eingetauchten geraden Kreiszylinder , 1911 .

[17]  Kai-Long Hsiao,et al.  Combined electrical MHD heat transfer thermal extrusion system using Maxwell fluid with radiative and viscous dissipation effects , 2017 .

[18]  M. Irfan,et al.  Numerical assessment of solar energy aspects on 3D magneto-Carreau nanofluid: A revised proposed relation , 2017 .

[19]  Ahmed Alsaedi,et al.  Boundary layer flow of Carreau fluid over a convectively heated stretching sheet , 2014, Appl. Math. Comput..

[20]  M. Irfan,et al.  Modeling and simulation for 3D magneto Eyring-Powell nanomaterial subject to nonlinear thermal radiation and convective heating , 2017 .

[21]  Ahmed Alsaedi,et al.  Nonlinear thermal radiation aspects in stagnation point flow of tangent hyperbolic nanofluid with double diffusive convection , 2016 .

[22]  W. Khan,et al.  MHD flow over exponential radiating stretching sheet using homotopy analysis method , 2017 .

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

[24]  Kai-Long Hsiao,et al.  Micropolar nanofluid flow with MHD and viscous dissipation effects towards a stretching sheet with multimedia feature , 2017 .

[25]  Ali Saleh Alshomrani,et al.  A new modeling for 3D Carreau fluid flow considering nonlinear thermal radiation , 2017 .

[26]  Ahmed Alsaedi,et al.  Stagnation point flow of carbon nanotubes over stretching cylinder with slip conditions , 2015 .

[27]  Kai-Long Hsiao,et al.  Stagnation electrical MHD nanofluid mixed convection with slip boundary on a stretching sheet , 2016 .

[28]  S. Liao,et al.  Beyond Perturbation: Introduction to the Homotopy Analysis Method , 2003 .

[29]  Wenchang Tan,et al.  Stability analysis of soret-driven double-diffusive convection of Maxwell fluid in a porous medium , 2011 .

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

[31]  Saeid Abbasbandy,et al.  Predictor homotopy analysis method: Two points second order boundary value problems , 2014 .

[32]  L. Howarth,et al.  On the solution of the laminar boundary layer equations. , 1938, Proceedings of the Royal Society of London. Series A - Mathematical and Physical Sciences.

[33]  T. Hayat,et al.  MHD nonlinear convective flow of thixotropic nanofluid with chemical reaction and Newtonian heat and mass conditions , 2017 .

[34]  T. Hayat,et al.  Nonlinear convective flow of Powell-Erying magneto nanofluid with Newtonian heating , 2017 .

[35]  Mair Khan,et al.  Impact of nonlinear thermal radiation and gyrotactic microorganisms on the Magneto-Burgers nanofluid , 2017 .

[36]  Kai-Long Hsiao,et al.  To promote radiation electrical MHD activation energy thermal extrusion manufacturing system efficiency by using Carreau-Nanofluid with parameters control method , 2017 .

[37]  T. Hayat,et al.  Inclined magnetic field and heat source/sink aspects in flow of nanofluid with nonlinear thermal radiation , 2016 .

[38]  Ishola Bakai Olajuwon.  Convection heat and mass transfer in a hydromagnetic Carreau fluid past a vertical porous plate in presence of thermal radiation and thermal diffusion , 2011 .