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Adachi, T. and Imai, S. (2007) Three-Dimension Linear Stability of Natural Convection in Horizontal Concentric Annuli. International Journal of Heat and Mass Transfer, 50, 1388-1396. https://doi.org/10.1016/j.ijheatmasstransfer.2006.09.029

has been cited by the following article:

  • TITLE: Transient Natural Convection in an Annulus with Thermal Radiation

    AUTHORS: Basant Kumar Jha, Isah Bala Yabo, Jeng-Eng Lin

    KEYWORDS: Transient-Natural Convection, Thermal Radiation, Annulus, Perturbation, Finite Difference

    JOURNAL NAME: Applied Mathematics, Vol.8 No.9, September 28, 2017

    ABSTRACT: The interaction of transient fully developed natural convection flow with thermal radiation inside a vertical annulus is analyzed both analytically and numerically. The Rosseland approximation is used to describe the radiative heat flux in the energy equation. The mathematical model capturing the present physical situation is highly non-linear due to the presence of radiation effect. The solution of transient model is obtained by implicit finite difference method. To check accuracy of the numerical solution, steady state solution for energy and momentum equations are derived analytically using perturbation series method. Skin-friction and Nusselt number at the outer surface of inner cylinder as well as inner surface of the outer cylinder are obtained. Selected sets of graphical results illustrating the effects of various controlling parameters involved in the problem on flow formation are discussed.