Natural convection flow in a vertical micro-annulus with time-periodic thermal boundary conditions: An exact solution. Issue 5 (26th July 2018)

• Record Type: Journal Article
• Authors: Jha, Basant Kumar; Oni, Michael O.
• Is Part Of: Multidiscipline modeling in materials and structures. Volume 14:Issue 5(2018)
• Page Start: 1064
• Page End: 1081
• Publication Date: 2018-07-26
• Subjects: Natural convection -- Fully developed flow -- Micro-annulus -- Time-periodic thermal boundary conditions; Materials -- Mathematical models -- Periodicals; Engineering -- Mathematical models -- Periodicals; 620.11015118
• DOI: 10.1108/MMMS-09-2017-0111
• Languages: English
• ISSNs: 1573-6105

Abstract

Abstract : Purpose: The purpose of this paper is to investigate the impact of time-periodic thermal boundary conditions on natural convection flow in a vertical micro-annulus. Design/methodology/approach: Analytical solution in terms of Bessel's function and modified Bessel's function of order 0 and 1 is obtained for velocity, temperature, Nusselt number, skin friction and mass flow rate. Findings: It is established that the role of Knudsen number and fluid–wall interaction parameter is to decrease fluid temperature, velocity, Nusselt number and skin friction. Research limitations/implications: No laboratory practical or experiment was conducted. Practical implications: Cooling device in electronic panels, card and micro-chips is frequently cooled by natural convection. Originality/value: In view of the amount of works done on natural convection in microchannel, it becomes interesting to investigate the effect that time-periodic heating has on natural convection flow in a vertical micro-annulus. The purpose of this paper is to examine the impact of time-periodic thermal boundary conditions on natural convection flow in a vertical micro-annulus.