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Research Papers: Natural and Mixed Convection

Analysis of Turbulent Natural and Mixed Convection Flows Using the v2–f Model

[+] Author and Article Information
Nikhil Kumar Singh

Hero MotoCorp Ltd.,
Dharuhera, Haryana 122 100, India

B. Premachandran

Associate Professor
Indian Institute of Technology Delhi,
Hauz Khas, New Delhi 110 016, India
e-mail: prem@mech.iitd.ac.in

1Corresponding author.

Contributed by the Heat Transfer Division of ASME for publication in the JOURNAL OF HEAT TRANSFER. Manuscript received July 9, 2015; final manuscript received November 18, 2015; published online March 15, 2016. Assoc. Editor: Antonio Barletta.

J. Heat Transfer 138(6), 062502 (Mar 15, 2016) (13 pages) Paper No: HT-15-1460; doi: 10.1115/1.4032639 History: Received July 09, 2015; Revised November 18, 2015

The main objective of this work is to investigate the performance of the v2–f model for the predictions of turbulent natural and mixed convection flows. For this purpose, a finite volume-based flow solver is developed for a collocated grid arrangement, and the v2–f model is implemented for turbulence modeling. For natural convection flows, a tall cavity with the aspect ratio of 28.68 is selected as a test case. Mixed convection in a square cavity, ascending flow in a vertical pipe with constant wall flux, and fully developed mixed convection in a vertical channel are considered as test cases for buoyancy-driven mixed convection flows. To evaluate the performance of the v2f model, results obtained from the present study have been compared with the existing data of experimental studies or direct numerical simulations (DNS). Results obtained from two-equation models, viz., the RNG k, realizable k, and SST k models are also presented for comparison. Overall, the v2f model predicts flow and heat transfer characteristics of natural and mixed convection flows satisfactorily.

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Figures

Grahic Jump Location
Fig. 1

Geometry considered for natural convection in a tall cavity (not to scale)

Grahic Jump Location
Fig. 2

Comparison of the nondimensional velocity distributions obtained at y/H = 0.05, 0.1, 0.3, and 0.5 using various turbulence models with the experimental results of Betts and Bokhari [25]: (a) two-equation models and v2–f model (LKD) and (b) various variants of v2–f model

Grahic Jump Location
Fig. 3

Comparison of the nondimensional temperature distributions obtained using various turbulence models with the experimental results of Betts and Bokhari [25]: (a) two-equation models and the v2f model (LKD) and (b) various variants of v2f model

Grahic Jump Location
Fig. 4

Geometry considered for mixed convection in a square cavity

Grahic Jump Location
Fig. 5

Comparison of nondimensional horizontal component of velocity and nondimensional temperature distributions obtained along the vertical direction at X/L = 0.5 using various turbulence models with the experimental results of Blay et al. [29]: (a) variation of nondimensional horizontal component of velocity and (b) variation of nondimensional temperature along the vertical direction

Grahic Jump Location
Fig. 6

Comparison of the nondimensional vertical component of velocity and nondimensional temperature distributions along the horizontal direction at y/H = 0.5 obtained using various turbulence models with the experimental results of Blay et al. [29]: (a) variation of nondimensional vertical component of velocity and (b) variation of nondimensional temperature along the horizontal direction

Grahic Jump Location
Fig. 7

Geometry considered for mixed convection ascending flow through a vertical pipe

Grahic Jump Location
Fig. 8

Comparison of the fully developed nondimensional velocity and temperature distributions obtained using two-equation models and the v2f model (LKD) with the experimental results of You et al. [31]: (a) and (b) case B—early onset of mixed convection, (c) and (d) case C—laminarization regime, and (e) and (f) case D—recovery regime

Grahic Jump Location
Fig. 9

Comparison of the fully developed nondimensional velocity and temperature distributions obtained using various variants of v2f model with the DNS data of You et al. [31]: (a) and (b) case B—early onset of mixed convection, (c) and (d) case C—laminarization regime, and (e) and (f) case D—recovery regime

Grahic Jump Location
Fig. 10

Comparison of the normalized Nusselt number and coefficient of friction obtained using various variants of v2f model with the DNS data of You et al. [31]: (a) Bo versus Cf/Cfo and (b) Bo versus Nu/Nuo

Grahic Jump Location
Fig. 11

Geometry considered for fully developed mixed convection in a vertical channel

Grahic Jump Location
Fig. 12

Comparison of nondimensional velocity and temperature distributions obtained using various turbulence models with the DNS data of Kasagi and Nishimura [34]: (a) nondimensional velocity distribution and (b) nondimensional temperature distribution

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