Three-dimensional stretched flow via convective boundary condition and heat generation/absorption

Purpose – The purpose of this paper is to investigate the three-dimensional flow of viscous fluid with convective boundary conditions and heat generation/absorption. Design/methodology/approach – The governing partial differential equations are reduced into ordinary differential equations by applying similarity transformations. Series solutions of velocity and temperature are found by adopting homotopy analysis method (HAM). Findings – The authors found that an increase in ratio parameter and Hartman number increased the values of skin-friction coefficient, but the values of local Nusselt number are reduced with an increase in Hartman number. Practical implications – The present study is a useful source of information for the investigators in the fields of Newtonian fluids and heat transfer. The results obtained are specifically important in processes of polymer industry and metallurgical. Originality/value – Very scarce literature is available on three-dimensional stretched flow with convective boundary ...

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

[2]  P. D. Ariel,et al.  Generalized three‐dimensional flow due to a stretching sheet , 2003 .

[3]  T. Hayat,et al.  Influence of thermal radiation and Joule heating on MHD flow of a Maxwell fluid in the presence of thermophoresis , 2010 .

[4]  A. Barari,et al.  Numerical analysis of flow and heat transfer of a viscoelastic fluid over a stretching sheet , 2011 .

[5]  Ali J. Chamkha.  Hydromagnetic three-dimensional free convection on a vertical stretching surface with heat generation or absorption , 1999 .

[6]  M. Y. Malik,et al.  Mixed convection unsteady stagnation point flow over a stretching sheet with heat transfer in the presence of variable free stream , 2012 .

[7]  Shanshan Yao,et al.  Heat transfer of a generalized stretching/shrinking wall problem with convective boundary conditions , 2011 .

[8]  Ali J. Chamkha,et al.  Mixed convection flow over a vertical power‐law stretching sheet , 2010 .

[9]  Tasawar Hayat,et al.  Radiative flow of Jeffery fluid in a porous medium with power law heat flux and heat source , 2012 .

[10]  T. Hayat,et al.  Steady Flow of Maxwell Fluid with Convective Boundary Conditions , 2011 .

[11]  Saeid Abbasbandy,et al.  Analytic approximate solutions for heat transfer of a micropolar fluid through a porous medium with radiation , 2011 .

[12]  Abdul Aziz,et al.  A similarity solution for laminar thermal boundary layer over a flat plate with a convective surface boundary condition , 2009 .

[13]  T. Hayat,et al.  Flow of a second grade fluid with convective boundary conditions , 2011 .

[14]  S. Abbasbandy,et al.  Predictor homotopy analysis method and its application to some nonlinear problems , 2011 .

[15]  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..

[16]  Abdul Aziz,et al.  Boundary layer flow of a nanofluid past a stretching sheet with a convective boundary condition , 2011 .

[17]  O. Makinde.  Similarity solution for natural convection from a moving vertical plate with internal heat generation and a convective boundary condition , 2011 .

[18]  T. Hayat,et al.  MHD flow and heat transfer over permeable stretching sheet with slip conditions , 2011 .

[19]  Oluwole Daniel Makinde,et al.  On MHD heat and mass transfer over a moving vertical plate with a convective surface boundary condition , 2010 .

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

[21]  T. Hayat,et al.  Radiative Flow with Variable Thermal Conductivity in Porous Medium , 2012 .

[22]  M. Sajid,et al.  Non‐similar solution for rotating flow over an exponentially stretching surface , 2011 .

[23]  B. C. Sakiadis.  Boundary‐layer behavior on continuous solid surfaces: II. The boundary layer on a continuous flat surface , 1961 .

[24]  Tasawar Hayat,et al.  Homotopy solution for the unsteady three-dimensional MHD flow and mass transfer in a porous space , 2010 .

[25]  Shanshan Yao,et al.  Slip MHD viscous flow over a stretching sheet - An exact solution , 2009 .

[26]  Oluwole Daniel Makinde,et al.  Similarity solution of hydromagnetic heat and mass transfer over a vertical plate with a convective surface boundary condition , 2010 .

[27]  Chao-Yang Wang,et al.  The three‐dimensional flow due to a stretching flat surface , 1984 .

[28]  B. C. Sakiadis.  Boundary‐layer behavior on continuous solid surfaces: I. Boundary‐layer equations for two‐dimensional and axisymmetric flow , 1961 .

[29]  Mehdi Dehghan,et al.  A semi‐numerical technique for solving the multi‐point boundary value problems and engineering applications , 2011 .

[30]  S. Asghar,et al.  Mixed convection flow of second grade fluid along a vertical stretching flat surface with variable surface temperature , 2007 .

[31]  Mohammad Mehdi Rashidi,et al.  Analytic approximate solutions for unsteady boundary-layer flow and heat transfer due to a stretching sheet by homotopy analysis method , 2010 .

[32]  Mohammad Ferdows,et al.  FINITE DIFFERENCE SOLUTION OF MHD RADIATIVE BOUNDARY LAYER FLOW OF A NANOFLUID PAST A STRETCHING SHEET , 2010 .

[33]  E. Tzirtzilakis,et al.  Numerical study of biomagnetic fluid flow over a stretching sheet with heat transfer , 2003 .

[34]  Mohammad Mehdi Rashidi,et al.  Application of Multi-Step Differential Transform Method on Flow of a Second-Grade Fluid over a Stretching or Shrinking Sheet , 2011, Am. J. Comput. Math..