Stretched Flow of Casson Fluid with Variable Thermal Conductivity
Keywords:
Casson fluid, stagnation point, variable thermal conductivity, viscous dissipation, stretched surfaceAbstract
This paper looks at the stagnation point flow of Casson fluid towards a stretching surface. In addition, heat transfer analysis is discussed. The thermal conductivity varies linearly with temperature. Series solutions are first presented and then studied for different parameters of interest in this problem.Downloads
Metrics
References
Y Zhong and T Fang. Unsteady stagnation-point flow over a plate moving along the direction of flow impingement. Int. J. Heat Mass Trans. 2011; 54, 3103-8.
K Bhattacharyya and K Vajravelu. Stagnation-point flow and heat transfer over an exponentially shrinking sheet. Comm. Nonlinear Sci. Numer. Simulat. 2012; 17, 2728-34.
K Bhattacharyya and GC Layek. Effects of suction/blowing on steady boundary layer stagnation-point flow and heat transfer towards a shrinking sheet with thermal radiation. Int. J. Heat Mass Trans. 2011; 54, 302-7.
T Fang, CF Lee and J Zhang. The boundary layers of an unsteady incompressible stagnation-point flow with mass transfer. Int. J. Nonlinear Mech. 2011; 46, 942-8.
T Hayat and M Nawaz. Unsteady stagnation point flow of viscous fluid caused by an impulsively rotating disk. J. Taiwan Inst. Chemical Eng. 2011; 42, 41-9.
TC Chiam. Stagnation-point flow towards a stretching plate. J. Phys. Soc. Jpn. 1994; 63, 2443-4.
TR Mahapatra, SK Nandy and AS Gupta. Magnetohydrodynamic stagnation-point flow of a power-law fluid towards a stretching surface. Int. J. Nonlinear Mech. 2009; 44, 124-9.
S Nadeem, A Hussain and M Khan. HAM solutions for boundary layer flow in the region of the stagnation point towards a stretching sheet. Comm. Nonlinear Sci. Numer. Simulat. 2010; 15, 475-81.
SS Hou, SS Yang and TH Lin. An experimental study on combustion characteristics of flames in a coaxial flow with a stagnation point. Int. J. Heat Mass Trans. 2004; 47, 947-58.
Z Abbas, Y Wang, T Hayat and M Oberlack. Mixed convection in the stagnation-point flow of a Maxwell fluid towards a vertical stretching surface. Nonlinear Anal. R. World Appl. 2010; 11, 3218-28.
M Mustafa, T Hayat, I Pop, S Asghar and S Obaidat. Stagnation-point flow of a nanofluid towards a stretching sheet. Int. J. Heat Mass Trans. 2011; 54, 5588-94.
M Hassani, MM Tabar, H Nemati, G Domairry and F Noori. An analytical solution for boundary layer flow of a nanofluid past a stretching sheet. Int. J. Therm. Sci. 2011; 50, 2256-63.
M Jamil and C Fetecau. Helical flows of Maxwell fluid between coaxial cylinders with given shear stresses on the boundary. Nonlinear Anal. R. World Appl. 2010; 11, 4302-11.
Y Yao and Y Liu. Some unsteady flows of a second grade fluid over a plane wall. Nonlinear Anal. R. World Appl. 2010; 11, 4442-50.
S Wang and W Tan. Stability analysis of soret-driven double-diffusive convection of Maxwell fluid in a porous medium. Int. J. Heat Fluid Flow 2011; 32, 88-94.
T Hayat, SA Shehzad, M Qasim and S Obaidat. Radiative flow of a Jeffery fluid in porous medium with power law heat flux and heat source. Nucl. Eng. Des. 2012; 243, 15-9.
S Wang and M Xu. Axial couette flow of two kinds of fractional viscoelastic fluids in an Annulus. Nonlinear Anal. R. World Appl. 2009; 10, 1087-96.
C Fetecau, M Mahmood and M Jamil. Exact solutions for the flow of a viscoelastic fluid induced by a circular cylinder subject to a time dependent shear stress. Comm. Nonlinear Sci. Numer. Simulat. 2010; 15, 3931-8.
NTM Eldabe and MGE Salwa. Heat transfer of MHD non-Newtonian Casson fluid flow between two rotating cylinders. J. Phys. Soc. Japan 1995; 64, 41-74.
SJ Liao. Beyond perturbation: introduction to the homotopy analysis method. CRC press LLC, 2004.
S Abbasbandy and T Hayat. On series solution for unsteady boundary layer equations in a special third grade fluid. Comm. Nonlinear Sci. Numer. Simulat. 2011; 16, 3140-6.
MM Rashidi and SAM Pour. Analytic approximate solutions for unsteady boundary-layer flow and heat transfer due to a stretching sheet by homotopy analysis method. Nonlinear Anal. Model. Contr. 2010; 15, 83-95.
T Hayat, M Qasim and Z Abbas. Homotopy solution for unsteady three-dimensional MHD flow and mass transfer in a porous space. Comm. Nonlinear Sci. Numer. Simulat. 2010; 15, 2375-87.
B Yao. Series solution of the temperature distribution in the Falkner-Skan wedge flow by the homotopy analysis method. Euro. J. Mech. B Fluids. 2009; 28, 689-93.
CS Liu. The essence of the homotopy analysis method. Appl. Math. Comp. 2010; 216, 1299-303.
Downloads
Published
How to Cite
Issue
Section
License
Copyright (c) 2012 Walailak University
This work is licensed under a Creative Commons Attribution-NonCommercial-NoDerivatives 4.0 International License.