Soret and Dufour Effects on Heat and Mass Transfer of Boundary Layer Flow over Porous Wedge with Thermal Radiation: Bivariate Spectral Relaxation Method
American Journal of Chemical Engineering
Volume 7, Issue 1, January 2019, Pages: 7-21
Received: Jan. 9, 2019;
Accepted: Mar. 2, 2019;
Published: Mar. 25, 2019
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Felix Ilesanmi Alao, Department of Mathematical Sciences, Federal University of Technology, Akure, Nigeria
Chika Uchechukwu Boneze, Department of Mathematical Sciences, Federal University of Technology, Akure, Nigeria
Adeyemi Isaiah Fagbade, Department of Mathematical Sciences, Federal University of Technology, Akure, Nigeria
Boundary layer flow has great importance in engineering applications such as oil bed recovery, filtration, thermal insulations, heat exchangers, geothermal analysis and so on. This paper investigated the effects of heat radiation, soret and dufour in the presence of suction or injection on a boundary layer flow over a porous wedge. The governing equations with the boundary conditions are non-dimensionalized by introducing some non-dimensional variables. The flow model is described in terms of a highly coupled and nonlinear system of partial differential equations as the method of solution seeks to decouple the original system to form a sequence of equations corresponding to the momentum, energy and concentration equations that is solved in a computationally efficient manner. The resulting equations are solved using a numerical technique called Bivariate Spectral Relaxation Method (BSRM). Numerical calculations are carried out for different values of dimensionless parameters and the analysis of the physical parameters of engineering applications are investigated. Effects of these major parameters on transport behaviors are investigated and typical results are illustrated to reveal the effect of pertinent parameter on the velocity, temperature, concentration profiles of the flow. The effects on the local skin friction, local nusselt and Sherwood number are also presented in the tables.
Felix Ilesanmi Alao,
Chika Uchechukwu Boneze,
Adeyemi Isaiah Fagbade,
Soret and Dufour Effects on Heat and Mass Transfer of Boundary Layer Flow over Porous Wedge with Thermal Radiation: Bivariate Spectral Relaxation Method, American Journal of Chemical Engineering.
Vol. 7, No. 1,
2019, pp. 7-21.
M. H. Shojaefard, A. R. Noorpoor, A. Avanesians, M. Ghaffapour, (2005). Numerical investigation of flow control by suction and injection on a subsonic airfoil, AM. J. Appl. Sci., 20, 1474- 1480.
A. I Braslow, (1999). A history of suction type laminar flow control with emphasis on flight research, American Institute of Aeronautics and Astronautics, Washington, D. C., 15.
SudhagarPalani, Peri K. Kameswaran and B. Rushi Kumar, (2018), Non-darcy effects on mixed convective nanofluid over a wedge in a porous medium, Journal of Porous Media, 21(9):781–791.
M. B. K. Moorthy, T. Kannan, K. Senthilvadivu, (2013). Soret and Dufour Effects on Natural Convection Heat and Mass Transfer Flow past a Horizontal Surface in a Porous Medium with Variable Viscosity, Wseas Transactions On Heat And Mass Transfer, 121-130.
S. Shivaiah and J AnandRao, (2011). Effects Of Soret, Dufour And Thermal Radiation On Unsteady Mhd Free Convection Flow Past An Infinite Vertical Porous Plate In The Presence Of Chemical Reaction, Int. J. Of Appl. Math and Mech. 7 (13): 58-76.
A. J. Omowaye, A. I. Fagbade, A. J. Ajayi, (2015). Dufour and soret effects on steady MHD convective flow of a fluid ina porous medium with temperature dependent viscosity: Homotopy analysis approach, Journal of the NigerianMathematical Society, http://dx.doi.org/10.1016/j.jnnms.2015.08.001.
M. M. Rashidi, M. Ali, N. Freidoonimehr, B. Rostami, and M. Anwar Hossain, (2014). Mixed Convective Heat Transfer for MHD Viscoelastic Fluid Flow over a Porous Wedge with Thermal Radiation, Advances in Mechanical Engineering, Volume, Article ID 735939, 10 pages, (http://dx.doi.org/10.1155/2014/735939).
I. Muhaimin, R. Kandasamy, Azme B. Khamis, Rozani bin Roslan, (2013). Impact of thermophoresis particle deposition and chemical reaction on unsteady non-Darcy mixed convective flow over a porous wedge in the presence of temperature-dependent viscosity, Meccanica, 48: 1415-1430, (DO1 10.10071~11012-012-9675-6).
B. Lavanya and A. LeelaRatnam, (2014). Dufour and soret effects on steady MHD free convective flow past a vertical porous plate embedded in a porous medium with chemical reaction, radiation heat generation and viscous dissipation, Advances in Applied Science Research, 5(1):127-142.
R. Kandasamy, B. A. Wahid, M. Raj, A. B. Khamis, (2006). Effects of chemical reaction, heat and mass transfer on boundary layer flow over a porous wedge with heat radiation in the presence of suction or injection, Theoret. Appl. Mech., 33, 123-148.
Wubshet Ibrahim and Ayele Tulu, (2019). Magnetohydrodynamic (MHD) boundary layer flow past a wedge with heat transfer and viscous effects of nanofluid embedded in porous media, Mathematical Problems in Engineering, Volume 2019, Article ID 4507852, 12 pages. https://doi.org/10.1155/2019/4507852
S. S. Motsa, P. G. Dlamini, M. Khumalo, (2014). Spectral Relaxation Method and Spectral Quasilinearalisation Method for Solving Unsteady Boundary Layer Flow Problems, Advances in Mathematical Physics, Vol. 2014, Article ID 341964, 12 pages, doi:10.1155/2014/341964.
J. Boussinesq, (1897). Theory of turbulent and tumultuous flow of liquids in prismatic channels of large cross- sections (pipes and open channels) when the flow is uniform, Gauthier-Villars Paris Vol. (1), Open Library OL7070543M.
N. G. Kafoussias, N. D., Nanousis, (1997). Magnetohydrodynamic laminar boundary layer flow over a wedge with suction or injection. Can, J. Physics, 75, 733.
S. S Motsa, V. M. Magagula and P. Sibanda, (2014). A Bivariate Chebyshev Spectral Collocation Quasilinearization Method for Non-linear Evolution Parabolic Equations, The Scientific World Journal, vol. 2014, Article ID 581987, 13 pages, doi:10.1155/2014/581987.
C. Canuto., M. Y Hussaini, A. Quarteroni, and T. A. Zang, (1988). Spectral Methods in Fluid Dynamics, Springer-Verlag, Berlin, http://dx.doi.org/10.1007/978-3-642-84108-8.
L. N. Trefethen, (2000). Spectral Methods in MATLAB. SIAM, Philadelphia, http://dx.doi.org/10.1137/1.9780898719598.