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Research Papers: Forced Convection

Computational Analysis of Conjugate Heat Transfer in Gaseous Microchannels

[+] Author and Article Information
Giulio Croce

DIEG, University of Udine,
Via delle Scienze 208,
Udine 33100, Italy
e-mail: giulio.croce@uniud.it

Olga Rovenskaya

DIEG, University of Udine,
Via delle Scienze 208,
Udine 33100, Italy
e-mail: olga.rovenskaya@uniud.it

Paola D'Agaro

DIEG, University of Udine,
Via delle Scienze 208,
Udine 33100, Italy
e-mail: dagaro.paola@uniud.it

Contributed by the Heat Transfer Division of ASME for publication in the JOURNAL OF HEAT TRANSFER. Manuscript received September 17, 2013; final manuscript received November 22, 2014; published online December 23, 2014. Assoc. Editor: Danesh / D. K. Tafti.

J. Heat Transfer 137(4), 041701 (Apr 01, 2015) (7 pages) Paper No: HT-13-1506; doi: 10.1115/1.4029259 History: Received September 17, 2013; Revised November 22, 2014; Online December 23, 2014

A fully conjugate heat transfer analysis of gaseous flow in short microchannels is presented. Navier–Stokes equations, coupled with Maxwell and Smoluchowski slip and temperature jump boundary conditions, are used for numerical analysis. Results are presented in terms of Nusselt number, heat sink thermal resistance, and resulting wall temperature as well as Mach number profiles for different flow conditions. The comparative importance of wall conduction, rarefaction, and compressibility are discussed. It was found that compressibility plays a major role. Although a significant penalization in the Nusselt number, due to conjugate heat transfer effect, is observed even for a small value of solid conductivity, the performances in terms of heat sink efficiency are essentially a function only of the Mach number.

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References

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Figures

Grahic Jump Location
Fig. 1

Sketch of computational domain

Grahic Jump Location
Fig. 2

Local Nusselt number at pressure ratios β = 1.27 and 3.18, λs/λf = 100. Filled symbols: no wall, empty symbols: full CHT.

Grahic Jump Location
Fig. 3

Wall and bulk stagnation temperature and Mach number profiles at pressure ratio β = 1.27, (a) λs/λf = 100 and (b) λs/λf = 1000. Filled symbols: no wall, empty symbols: full CHT.

Grahic Jump Location
Fig. 4

Wall and bulk stagnation temperature and Mach number profiles at pressure ratio β = 3.18: (a) λs/λf = 100 and (b) λs/λf = 1000. Filled symbols: no wall, empty symbols: full CHT.

Grahic Jump Location
Fig. 5

Wall and bulk stagnation temperature and Mach number profiles at pressure ratio β = 1.89 and λs/λf = 100. Filled symbols: no wall, empty symbols: full CHT.

Grahic Jump Location
Fig. 6

Wall and bulk stagnation temperature and Mach number profiles at pressure ratio β = 3.18 and λs/λf = 100. Filled symbols: no wall, empty symbols: full CHT.

Grahic Jump Location
Fig. 7

Averaged Nusselt number Nu¯ (Eq. 24) versus exit Mach number Mae at λs/λf = 100. Filled symbols: no wall, empty symbols: full CHT.

Grahic Jump Location
Fig. 8

Averaged Nusselt number Nu¯ (Eq. 24) versus Maranzana number M at λs/λf = 100. Filled symbols: no wall, empty symbols: full CHT.

Grahic Jump Location
Fig. 9

Averaged Nusselt number Nu¯ (Eq. 24) versus exit Mach number Mae for short channel L = 20 at λs/λf = 100 and 1000. Filled symbols: no wall, empty symbols: full CHT.

Grahic Jump Location
Fig. 10

Heat sink efficiency ε (Eq. 26) versus exit Mach number Mae at λs/λf = 100; filled symbols: no wall, empty symbols: full CHT.

Grahic Jump Location
Fig. 11

Heat sink efficiency ε (Eq. 26) versus exit Mach number Mae for short channel L = 20 H at λs/λf = 100 and 1000. Filled symbols: no wall, empty symbols: full CHT.

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