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research-article

On temperature jump condition of slip flow in a micro-channel with constant wall temperature

[+] Author and Article Information
Yutaka Asako

Fellow Department of Mechanical Precision Engineering Malaysia-Japan International Institute of Technology University Technology Malaysia Jalan Sultan Yahya Petra, 54100 Kuala Lumpur Malaysia
y.asako@utm.my

Chungpyo Hong

Member Department of Mechanical Engineering Kagoshima University 1-21-40 Korimoto, Kagoshima, 890-0065, Japan
hong@mech.kagoshima-u.ac.jp

1Corresponding author.

ASME doi:10.1115/1.4036076 History: Received January 05, 2016; Revised January 30, 2017

Abstract

A temperature jump boundary condition for a slip flow in a micro-channel with the constant wall temperature is widely used for a boundary condition of an energy equation. It is well known that a sliding shear work should be included in the slip boundary when the energy equation includes the viscous dissipation and the substantial derivative of pressure terms. However, the temperature jump boundary condition does not have the sliding shear work apparently. The temperature jump boundary condition for a case where the energy equation has the both two terms, is verified by obtaining the analytical solution in the fully developed region of a slip flow in a circular tube. And some numerical results are demonstrated.

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