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Technical Brief

Impact of Viscous Dissipation on Fully Developed Natural Convection Flow in a Vertical Micro-Channel

[+] Author and Article Information
Basant K. Jha

Department of Mathematics, Ahmadu Bello University, Zaria, Nigeria
ainavicdydx@yahoo.com

Babatunde Aina

Department of Mathematics, Bingham University, Abuja, Nigeria
ainavicdydx@gmail.com

1Corresponding author.

ASME doi:10.1115/1.4039641 History: Received June 20, 2017; Revised March 07, 2018

Abstract

In this research paper, steady natural convection flow in a vertical parallel plates microchannel in the presence of viscous dissipation is theoretically examined by using a perturbation series method. The effects of velocity slip and temperature jump are taken to consideration. Due to the presence of viscous dissipation, the momentum and energy equations are couped system of ordinary differential equations. The influences of Knudsen number, fluid wall interaction parameter and Brinkman number on the flow formation are demonstrated through graphs. The results indicate that, increasing Knudsen number decreases the effect of viscous dissipation on the Nusselt number.

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