TY - JOUR
T1 - Effects of variable fluid properties and thermophoresis on unsteady forced convective boundary layer flow along a permeable stretching/shrinking wedge with variable Prandtl and Schmidt numbers
AU - Alam, M. S.
AU - Khatun, M. Asiya
AU - Rahman, M. M.
AU - Vajravelu, K.
N1 - Funding Information:
We would like to express our thanks to the very competent reviewers for the valuable time spent reading the manuscript and for the constructive comments and suggestions. M. M. Rahman is grateful to The Research Council (TRC) of Oman for funding under the Open Research Grant Program: ORG/SQU/CBS/14/007 .
Publisher Copyright:
© 2015 Elsevier Ltd.
PY - 2016/1
Y1 - 2016/1
N2 - In this paper, the effects of variable fluid properties and thermophoresis on unsteady forced convective boundary layer flow along a permeable stretching/shrinking wedge are studied numerically. The analysis accounts for temperature dependent viscosity and thermal conductivity. The governing time dependent nonlinear partial differential equations are reduced to a set of nonlinear ordinary differential equations by the similarity transformations. The resulting local similarity equations are solved numerically by Nachtsheim-Swigert shooting iteration technique with sixth order Runge-Kutta integration scheme. Comparison with previously published work is performed and the results are found to be in excellent agreement. Numerical results for the non-dimensional velocity, temperature and concentration profiles as well as the variable Prandtl number and the variable Schmidt number are displayed graphically for several sets of material parameters. The effects of the model parameters on the local skin friction coefficient, the rate of heat and mass transfer, and the thermophoretic particle deposition velocity are also tabulated. The results show that for the flow with variable thermal conductivity, the Prandtl number as well as the Schmidt number varies significantly within the boundary layer. Thus, in any physical model where fluid transport properties are temperature dependent, the Prandtl number and the Schmidt number within the boundary layer should be considered as variables rather than constants.
AB - In this paper, the effects of variable fluid properties and thermophoresis on unsteady forced convective boundary layer flow along a permeable stretching/shrinking wedge are studied numerically. The analysis accounts for temperature dependent viscosity and thermal conductivity. The governing time dependent nonlinear partial differential equations are reduced to a set of nonlinear ordinary differential equations by the similarity transformations. The resulting local similarity equations are solved numerically by Nachtsheim-Swigert shooting iteration technique with sixth order Runge-Kutta integration scheme. Comparison with previously published work is performed and the results are found to be in excellent agreement. Numerical results for the non-dimensional velocity, temperature and concentration profiles as well as the variable Prandtl number and the variable Schmidt number are displayed graphically for several sets of material parameters. The effects of the model parameters on the local skin friction coefficient, the rate of heat and mass transfer, and the thermophoretic particle deposition velocity are also tabulated. The results show that for the flow with variable thermal conductivity, the Prandtl number as well as the Schmidt number varies significantly within the boundary layer. Thus, in any physical model where fluid transport properties are temperature dependent, the Prandtl number and the Schmidt number within the boundary layer should be considered as variables rather than constants.
KW - Thermophoresis
KW - Unsteady wedge flow
KW - Variable Prandtl number
KW - Variable Schmidt number
KW - Variable fluid properties
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U2 - 10.1016/j.ijmecsci.2015.11.018
DO - 10.1016/j.ijmecsci.2015.11.018
M3 - Article
AN - SCOPUS:84949434009
SN - 0020-7403
VL - 105
SP - 191
EP - 205
JO - International Journal of Mechanical Sciences
JF - International Journal of Mechanical Sciences
ER -