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Research Papers: Natural and Mixed Convection

Similarity Criteria for Modeling Mixed-Convection Heat Transfer in Ducted Flows of Supercritical Fluids

[+] Author and Article Information
Chukwudi Azih

Department of Mechanical and
Aerospace Engineering,
Carleton University,
Ottawa, ON K1S 5B6, Canada

Metin I. Yaras

Department of Mechanical and
Aerospace Engineering,
Carleton University,
Ottawa, ON K1S 5B6, Canada
e-mail: metin_yaras@carleton.ca

1Corresponding author.

Contributed by the Heat Transfer Division of ASME for publication in the JOURNAL OF HEAT TRANSFER. Manuscript received September 9, 2016; final manuscript received March 18, 2017; published online June 27, 2017. Assoc. Editor: Amitabh Narain.

J. Heat Transfer 139(12), 122501 (Jun 27, 2017) (13 pages) Paper No: HT-16-1567; doi: 10.1115/1.4036689 History: Received September 09, 2016; Revised March 18, 2017

A key subject of interest for technologies that involve flows of fluids at the supercritical thermodynamic state is the development of prediction methods that capture the fluid dynamics and convection heat transfer at this state. Due to the elevated temperatures and pressures associated with certain working fluids at this thermodynamic state, surrogate fluids are often used as substitutes for performing experiments during the design stages of prototype development. The success of this approach depends on the development of similarity criteria or fluid-to-fluid models. Similarity criteria for mixed-convection heat transfer in supercritical fluids are proposed based on a set of nondimensional dynamic similarity parameters and state-space parameters developed through our current understanding of the physical mechanisms that affect heat transfer in fluids at this state. The proposed similarity criteria are successfully validated using data from ducted flows of supercritical fluids with configurations having upstream, downstream, or wall-normal-oriented gravitational acceleration.

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Figures

Grahic Jump Location
Fig. 1

Variation of ρ* with h* for water, carbon dioxide, helium, and R134a in the vicinity of the pseudo-critical state (Data obtained from the NIST Standard Reference Database [25].)

Grahic Jump Location
Fig. 2

Variation of μ* with h* for water, carbon dioxide, helium, and R134a in the vicinity of the pseudo-critical state (Data obtained from the NIST Standard Reference Database [25].)

Grahic Jump Location
Fig. 3

Variation of k* with h* for water, carbon dioxide, helium, and R134a in the vicinity of the pseudo-critical state (Data obtained from the NIST Standard Reference Database [25].)

Grahic Jump Location
Fig. 4

Variation of Cp* with h* for water, carbon dioxide, helium, and R134a in the vicinity of the pseudo-critical state (Data obtained from the NIST Standard Reference Database [25].)

Grahic Jump Location
Fig. 5

State-space distribution of thermophysical properties in the vicinity of the pseudo-critical state based on three nondimensional independent state-space parameters: (a) h* = (βpc/Cp,pc) (h − hpc), (b) T/Tpc, and (c) (T − Tpc)/(Tpc − Tc) (Data obtained from the NIST Standard Reference Database [25].)

Grahic Jump Location
Fig. 6

Variation of Pr with h* for water, carbon dioxide, helium, and R134a in the vicinity of the pseudo-critical state (Data obtained from the NIST Standard Reference Database [25].)

Grahic Jump Location
Fig. 7

Values of similarity criteria for ducted flows with upstream-oriented gravitational acceleration, as per the studies listed in Table 3, showing ranges for which IHT and DHT are observed

Grahic Jump Location
Fig. 8

Published data assessed against pairs of similarity criteria for ducted flows with upstream-oriented gravitational acceleration

Grahic Jump Location
Fig. 9

Published data assessed against pairs of Q* and p* and Q* and Ri′in for ducted flows with downstream-oriented gravitational acceleration

Grahic Jump Location
Fig. 10

Published data assessed against pairs of Q* and p* and Q* and Ri′in for ducted flows with horizontal-oriented gravitational acceleration

Grahic Jump Location
Fig. 11

Streamwise variation of Nusselt number for pairs of working fluids at specific values of Q* and p* to yield: (a) and (b) IHT and (c) and (d) DHT

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