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RESEARCH PAPERS: Forced Convection

Numerical Study of Laminar Forced Convection Fluid Flow and Heat Transfer From a Triangular Cylinder Placed in a Channel

[+] Author and Article Information
Arnab Kumar De1

Department of Mechanical Engineering, Indina Institute of Technology Kanpur, Kanpur-208 016, Indiaarkde@iitk.ac.in

Amaresh Dalal

Department of Mechanical Engineering, Indina Institute of Technology Kanpur, Kanpur-208 016, Indiaamaresh@iitk.ac.in

1

Corresponding author.

J. Heat Transfer 129(5), 646-656 (Jun 30, 2006) (11 pages) doi:10.1115/1.2712848 History: Received November 07, 2005; Revised June 30, 2006

Computational study of two-dimensional laminar flow and heat transfer past a triangular cylinder placed in a horizontal channel is presented for the range 80Re200 and blockage ratio 1/12β1/3. A second-order accurate finite volume code with nonstaggered arrangement of variables is developed employing momentum interpolation for the pressure-velocity coupling. Global mode of cross-stream velocity oscillations predict the first bifurcation point increases linearly with blockage ratio with no second bifurcation found in the range of Re studied. The Strouhal number and rms of lift coefficient increase significantly with blockage ratio and Reynolds number while overall Nusselt number remains almost unchanged for different blockage ratios. At lower blockage ratios, flow is found to be similar to the unconfined flow and is more prone to wake instability. Instantaneous streak lines provide an excellent means of visualizing the von Kármán vortex street.

Copyright © 2007 by American Society of Mechanical Engineers
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Figures

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Figure 1

Flow geometry with dimensions

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Figure 2

A typical grid (200×122) used for β=1∕6: (a) full view and (b) zoomed view

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Figure 3

Comparison with Breuer (7): (a) CD and (b) St

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Figure 4

Onset of vortex shedding; maximum peak-to-peak oscillation of v at (a) y=0, (b) y=0.5, (c) linear extrapolation of Av2(y=0), and (d) variation of Recr with β

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Figure 5

Snapshots in a shedding cycle: (a)–(d) stream lines, (e)–(h) vorticity contours, and (i)–(l) isotherms for β=1∕3, Re=100

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Figure 6

Snapshots in a shedding cycle: (a)–(d) stream lines, (e)–(h) vorticity contours, and (i)–(l) isotherms for β=1∕6, Re=100

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Figure 7

Snapshots in a shedding cycle: (a)–(d) stream lines, (e)–(h) vorticity contours, and (i)–(l) isotherms for β=1∕12, Re=100

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Figure 8

Snapshots in a shedding cycle: (a)–(d) stream lines, (e)–(h) vorticity contours, and (i)–(l) isotherms for β=1∕3, Re=200

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Figure 9

Snapshots in a shedding cycle: (a)–(d) stream lines, (e)–(h) vorticity contours, and (i)–(l) isotherms for β=1∕6, Re=200

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Figure 10

Snapshots in a shedding cycle: (a)–(d) stream lines, (e)–(h) vorticity contours, (i)–(l) isotherms for β=1∕12, Re=200

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Figure 11

Variation of integral parameters with Re: (a) CD, (b) CDp, (c) CLrms, and (d) CLmax−CLmin

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Figure 12

Variation of Strouhal number (a) with Re for different β, (b) spectra of CD and CL for β=1∕3, Re=200

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Figure 13

Heat transfer parameters: (a) local Nu variation on the cylinder in a cycle for β=1∕6 and Re=200, (b) time averaged overall Nu on the cylinder

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Figure 14

Instantaneous streak lines for β=1∕3 at (a) Re=100, (b) Re=200 and β=1∕6 at (c) Re=100, and (d) Re=200

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Figure 15

Instantaneous streak lines for β=1∕12 at (a) Re=100 and (b) Re=200

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