Investigation of heat generation/absorption on natural convection flow in a vertical annular micro-channel: An exact solution

Abstract

Purpose

The purpose of this paper is to further extend the work of Weng and Chen (2009) by considering heat generation/absorption nature of fluid.

Design/methodology/approach

Exact solution of momentum equation is derived separately in terms of Bessel’s function of first and second kind for heat-generating fluid and modified Bessel’s function of first and second kind for heat absorbing fluid.

Findings

During the course of numerical computations, it is found that skin friction and rate of heat transfer at outer surface of inner cylinder and inner surface of outer cylinder increases with the increase in heat generation parameter while the reverse trend is found in the case of heat absorption parameter.

Originality/value

In view of the amount of works done on natural convection with internal heat generation/absorption, it becomes interesting to investigate the effect of this important activity on natural convection flow in a vertical annular micro-channel. The purpose of this paper is to further extend the work of Weng and Chen (2009) by considering heat generation/absorption nature of fluid.

Citation

Jha, B.K. and Aina, B. (2018), "Investigation of heat generation/absorption on natural convection flow in a vertical annular micro-channel: An exact solution", Multidiscipline Modeling in Materials and Structures, Vol. 14 No. 1, pp. 143-167. https://doi.org/10.1108/MMMS-06-2017-0056