Abstract
A numerical investigation is performed to analyze the transient laminar free convection over an isothermal inclined plate embedded in a saturated porous medium with the viscous dissipation and heat source/sink effects. The flow in the porous medium is modeled with the Darcy–Brinkman–Forchheimer model. To solve the problem, an explicit procedure of finite difference method with stability and convergence criterion has been used in this work. The effects of different parameters that enter into the problem on the dimensionless streamlines of the velocity field, the isothermal lines distributions, skin friction, and the local Nusselt number are examined. Also, the physical aspects of the problem are discussed in details.
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References
Nield, D.A., Bejan, A.: Convection in Porous Media, 5th ed. Springer Science, New York (2017). https://doi.org/10.1007/978-3-319-49562-0
Nield, D.A., Simmons, C.T.: A Brief Introduction to Convection in Porous Media. Springer Nature (2018)
Islam, M., Akter, F., Islam, A.: Mass transfer flow through an inclined plate with porous medium. Am. J. Appl. Math. 3(5), 215–220 (2015). https://doi.org/10.11648/j.ajam.20150305.12
Mondal, R., Azad, M.A.K., Arifuzzaman, S., Hossain, K.E., Ahmmed, S.: Unsteady free convective flow along a vertical porous plate with variable viscosity and thermal conductivity. IOSR J. Math. (IOSR-JM) 12(1), 64–71 (2016)
Flilihi, E., Sriti, M., Achemlal, D., El Haroui, M.,: Variable heat source and wall radiation effects on boundary layer convection from an inclined plate in non-Darcian porous medium. Front. Heat Mass Transf. (FHMT) 9(23) (2017). https://doi.org/10.5098/hmt.9.23
Flilihi, E., Sriti, M., Achemlal, D., El Haroui, M.: Semi-analytical prediction of mixed convection in porous medium using Darcy-Brinkman model. J. Eng. Appl. Sci. 14(4), 1122–1129 (2019)
Flilihi, E., Sriti, M., Achemlal, D.: Numerical solution on non-uniform mesh of Darcy-Brinkman-Forchheimer model for transient convective heat transfer over flat plate in saturated porous medium. Front. Heat Mass Transf. (FHMT) 12(12) (2019). https://doi.org/10.5098/hmt.12.12
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Flilihi, E., Sriti, M., Achemlal, D. (2020). Viscous Dissipation and Heat Source/Sink Effects on Convection Heat Transfer in a Saturated Porous Medium. In: Bhateja, V., Satapathy, S., Satori, H. (eds) Embedded Systems and Artificial Intelligence. Advances in Intelligent Systems and Computing, vol 1076. Springer, Singapore. https://doi.org/10.1007/978-981-15-0947-6_11
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DOI: https://doi.org/10.1007/978-981-15-0947-6_11
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