Abstract:
The effects of thermal radiation on free convection in a non-Newtonian fluid over a vertical cone embedded in a porous medium in the presence of heat generation are studied. By using similarity transformations, the governing equations describing the problem are transformed to a system of nonlinear ordinary differential equations, which are solved numerically. The results are presented in the graphical form. The effects of various physical parameters and of the local Nusselt number on the velocity and the temperature profiles are discussed.
Citation:
M. A. A. Mahmoud, “Radiation effect on free convection of a non-Newtonian fluid over a vertical cone embedded in a porous medium with heat generation”, Prikl. Mekh. Tekh. Fiz., 53:5 (2012), 127–135; J. Appl. Mech. Tech. Phys., 53:5 (2012), 743–750
\Bibitem{Mah12}
\by M.~A.~A.~Mahmoud
\paper Radiation effect on free convection of a non-Newtonian fluid over a vertical cone embedded in a porous medium with heat generation
\jour Prikl. Mekh. Tekh. Fiz.
\yr 2012
\vol 53
\issue 5
\pages 127--135
\mathnet{http://mi.mathnet.ru/pmtf1407}
\elib{https://elibrary.ru/item.asp?id=18013510}
\transl
\jour J. Appl. Mech. Tech. Phys.
\yr 2012
\vol 53
\issue 5
\pages 743--750
\crossref{https://doi.org/10.1134/S0021894412050136}
Linking options:
https://www.mathnet.ru/eng/pmtf1407
https://www.mathnet.ru/eng/pmtf/v53/i5/p127
This publication is cited in the following 6 articles:
Amal Al-hanaya, Z.Z. Rashed, Sameh E. Ahmed, “Radiative flow of temperature-dependent viscosity power-law nanofluids over a truncated cone saturated heat generating, porous media: Impacts of Arrhenius energy”, Case Studies in Thermal Engineering, 53 (2024), 103874
Shahid Rafiq, Muhammad Mustahsan, Muhammad Asim, M. Ijaz Khan, Sami Ullah Khan, Furqan Ahmad, M. Waqas, Barno Abdullaeva, “Computational analysis of radiative flow of power law fluid with heat generation effects: Galerkin finite element simulations”, Partial Differential Equations in Applied Mathematics, 12 (2024), 100927
Chuo-Jeng Huang, Kuo-Ann Yih, “Nonlinear Radiation and Variable Viscosity Effects on Free Convection of a Power-Law Nanofluid Over a Truncated Cone in Porous Media With Zero Nanoparticles Flux and Internal Heat Generation”, Journal of Thermal Science and Engineering Applications, 13:3 (2021)
Chuo-Jeng Huang, “Effects of internal heat generation and Soret/Dufour on natural convection of non-Newtonian fluids over a vertical permeable cone in a porous medium”, Journal of King Saud University - Science, 30:1 (2018), 106
Donald A. Nield, Adrian Bejan, Convection in Porous Media, 2017, 161
Chuo-Jeng Huang, “Influence of Uniform Blowing/Suction on the Free Convection of Non-Newtonian Fluids Over a Vertical Cone in Porous Media With Thermal Radiation and Soret/Dufour Effects: Uniform Wall Temperature/Uniform Wall Concentration”, Journal of Heat Transfer, 139:3 (2017)