0
Technical Briefs

Heat Transfer and Pressure Drop Through Nano-Fin Arrays in the Free-Molecular Flow Regime

[+] Author and Article Information
Michael James Martin

Assistant Professor
Department of Mechanical Engineering,
Louisiana State University,
Baton Rouge, LA 70803
e-mail: mjmartin@lsu.edu

Contributed by the Heat Transfer Division of ASME for publication in the Journal of Heat Transfer. Manuscript received June 16, 2012; final manuscript received January 5, 2013; published online July 26, 2013. Assoc. Editor: Zhuomin Zhang.

J. Heat Transfer 135(9), 091601 (Jul 26, 2013) (5 pages) Paper No: HT-12-1290; doi: 10.1115/1.4024462 History: Received June 16, 2012; Revised January 05, 2013

Gas flow through arrays of rectangular nanofins is modeled using the linearized free-molecular drag and heat transfer equations. These are combined with the one-dimensional equations for conservation of mass, momentum, and energy, and the ideal gas law, to find the governing equations for flow through the array. The results show that the pressure gradient, temperature, and local velocity of the gas are governed by coupled ordinary differential equations. The system of equations is solved for representative arrays of nanofins to find the total heat transfer and pressure drop across a 1 cm chip.

FIGURES IN THIS ARTICLE
<>
Copyright © 2013 by ASME
Your Session has timed out. Please sign back in to continue.

References

Figures

Grahic Jump Location
Fig. 1

Array geometry: (a) fin arrangement and (b) fin cross-section

Grahic Jump Location
Fig. 3

Velocity and pressure change versus x for 5 nm × 5 nm fins, n = 5 × 109 m−2 (a) velocity increase and (b) pressure change

Grahic Jump Location
Fig. 4

Velocity and pressure change versus x for 5 nm × 5 nm fins, uo = 0.1 m/s (a) velocity increase and (b) pressure change

Grahic Jump Location
Fig. 5

Velocity, pressure, and temperature changes for 5 nm × 5 nm fins, uo = 0.1 m/s (a) velocity increase, (b) pressure change, and (c) temperature change

Grahic Jump Location
Fig. 6

Total pressure drop versus velocity for 5 nm × 5 nm fins

Grahic Jump Location
Fig. 7

Total heat transfer versus velocity for 5 nm × 5 nm fins

Grahic Jump Location
Fig. 8

Fin drag versus aspect ratio for a fin with a perimeter of 20 nm, uo = 0.01 m/s

Tables

Errata

Discussions

Some tools below are only available to our subscribers or users with an online account.

Related Content

Customize your page view by dragging and repositioning the boxes below.

Related Journal Articles
Related eBook Content
Topic Collections

Sorry! You do not have access to this content. For assistance or to subscribe, please contact us:

  • TELEPHONE: 1-800-843-2763 (Toll-free in the USA)
  • EMAIL: asmedigitalcollection@asme.org
Sign In