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.