NDLI: The Effect of Viscous Heat Dissipation on Convective Heat Transfer in Small-Scale Slipping Gaseous Flows

Content Provider	The American Society of Mechanical Engineers (ASME) Digital Collection
Author	Nicolas, G. Hadjiconstantinou
Copyright Year	2003
Abstract	The presence of slip in small-scale gaseous flows leads to shear work and dissipation at the boundary. This effect has been neglected in recent studies investigating the effect of viscous dissipation on convective heat transfer in small scale channels. In this paper we illustrate the effect of shear work at solid boundaries in small-scale gaseous flows through the solution of the constant-wall-heat-flux problem in the slip-flow regime. We show that dissipation at the boundary scales with the Brinkman number similarly to viscous heat dissipation inside the channel, and increases with increasing Knudsen number. As a result, it is incorrect to neglect this effect when viscous heat generation needs to be considered. An analytical expression for the fully developed slip-flow Nusselt number under constant-wall-heat-flux conditions in the presence of viscous heat dissipation is presented. This expression is verified by direct Monte Carlo solutions of the Boltzmann equation. An expression for the skin friction coefficient under fully developed flow conditions for arbitrary Knudsen numbers is presented. Simple approximate expressions for the skin friction coefficient in the ranges 0 ≤ Kn ⪝ 0 4 . and 0.4 ⪝ Kn ⪝ 3 are also presented. These expressions are in agreement with direct Monte Carlo solutions of the Boltzmann equation.
Sponsorship	Nanotechnology Institute
Starting Page	269
Ending Page	273
Page Count	5
File Format	PDF
ISBN	0791836673
DOI	10.1115/ICMM2003-1029
Volume Number	1st International Conference on Microchannels and Minichannels
Conference Proceedings	ASME 2003 1st International Conference on Microchannels and Minichannels
Language	English
Publisher Date	2003-04-24
Publisher Place	Rochester, New York, USA
Access Restriction	Subscribed
Subject Keyword	Slip flow Heat Knudsen number Energy dissipation Gas flow Skin friction (fluid dynamics) Shear (mechanics) Flow (dynamics) Convection
Content Type	Text
Resource Type	Article

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