Numerical Calculations for a Boundary Layer Flow past a Moving Vertical Porous Plate with Suction/Injection and Thermal Radiation
- 1 Computational Mechanics and Dynamics Systems Group, Computational Science Program, Addis Ababa University, Arat Kilo Campus, Addis Ababa, Ethiopia
- 2 Computational Mechanics and Dynamics Systems Group, Computational Science Program, Addis Ababa University, Arat Kilo Campus, Addis Ababa, Ethiopia
- 3 Computational Mechanics and Dynamics Systems Group, Computational Science Program, Addis Ababa University, Arat Kilo Campus, Addis Ababa, Ethiopia
Abstract
The work presented herein investigates the velocity, heat transfer, Nusselt number and skin friction profiles involved in boundary layer flow past a moving vertical porous plate. Similarity transformations are employed to convert the governing nonlinear unsteady momentum and energy equations from their partial differential equation forms to boundary value ordinary differential equations. The resulting equations are then solved numerically by the Runge-Kutta fourth order method with the help of a shooting technique. Several features of the flow and heat transfer characteristics for different values of problem parameters are analyzed and discussed. These include the effects of the radiation parameter (R), suction and injection parameter (c), Grashof (Gr) and Prandtl (Pr) numbers on the flow and heat profiles. Numerical results show the impact of blowing and sucking as well as radation on boundary layer flows of this type. Both the skin frictions as well as the heat transfer rate are also significantly related to the radiation parameter. For all these cases; the numerical results are found to be in agreement with the physics of the problem.
- Nield, D. and Bejan, A. (2013) Convection in Porous Media. Springer, New York. https://doi.org/10.1007/978-1-4614-5541-7
- Bejan, A. and Khair, K.R. (1985) Heat and Mass Transfer by Natural Convection in a Porous Medium. International Journal of Heat and Mass Transfer, 28, 909-918. https://doi.org/10.1016/0017-9310(85)90272-8
- Lai, F.C. and Kulacki, F.A. (1990) Coupled Heat and Mass Transfer from a Sphere Buried in an Infinite Porous Medium. International Journal of Heat and Mass Transfer, 33, 209-215. https://doi.org/10.1016/0017-9310(90)90155-N
- Lai, F.C. and Kulacki, F.A. (1991) Coupled Heat and Mass Transfer from by Natural Convection from Vertical Surfaces in a Porous Medium. International Journal of Heat and Mass Transfer, 34, 1189-1194. https://doi.org/10.1016/0017-9310(91)90027-C
- Raptis, A. (1998) Radiation and Free Convection Flow through a Porous Medium. International Communications in Heat and Mass Transfer, 25, 289-295. https://doi.org/10.1016/S0735-1933(98)00016-5
- Sakiadis, B.C. (1961) Boundary Layer Behavior on a Continuous Solid Surface. AIChE Journal, 7, 221-225. https://doi.org/10.1002/aic.690070211
- Ishak, A., Nazar, R. and Pop, I. (2007) Boundary Layer on a Moving Wall with Suction and Injection. Chinese Physics Letters, 24, 2274-2276. https://doi.org/10.1088/0256-307X/24/8/033
- Ishak, A., Nazar, R. and Pop, I. (2009) Flow and Heat Transfer Characteristics on a Moving Flat Plate in a Parallel Stream with Constant Heat Flux, Heat Mass Transfer. Chinese Physics Letters, 45, 563-567. https://doi.org/10.1007/s00231-008-0462-9
- Seini, Y.I. and Makinde, O.D. (2013) MHD Boundary Layer Flow Due to Exponential Stretching Surface with Radiation and Chemical Reaction. Mathematical Problems in Engineering, 2013, Article ID: 163614. https://doi.org/10.1155/2013/163614
- Chaturvedi, N. (1996) On MHD Flow past an Inclined Porous Plate with Variable Suction. Energy Conversion and Management, 37, 623-627. https://doi.org/10.1016/0196-8904(95)00199-9
- Blasisus, H. (1908) Zeitschriftfur Mathematik Physik. Volume 56.
- Erickson, L.E., Fan, L.T. and Fox, V.G. (1966) Heat and Mass Transfer on a Moving Continuous Flat Plate with Suction and Injection. Industrial & Engineering Chemistry Fundamentals, 5, 19-25. https://doi.org/10.1021/i160017a004
- Soundalgekar, V.M. and Raman, T.V. (1980) Heat Transfer in Flow past a Continuous Moving Plate with Variable Temperature. Heat and Mass Transfer, 14, 1-93. https://doi.org/10.1007/BF01806474