0
Research Papers

# Effect of Channel Confinement on Mixed Convective Flow Past an Equilateral Triangular Cylinder

[+] Author and Article Information
Nitish Varma

Department of Mechanical Engineering,
National Institute of Technology Rourkela,
Rourkela 769008, India

Jay P. Dulhani

Department of Mechanical Engineering,
Indian Institute of Science Bangalore,
Bangalore 560012, India

Amaresh Dalal

Department of Mechanical Engineering,
Indian Institute of Technology Guwahati,
Guwahati 781039, India
e-mail: amaresh@iitg.ernet.in

Sandip Sarkar

Department of Mechanical Engineering,
Indian Institute of Science Bangalore,
Bangalore 560012, India;
Research and Development Division,
Tata Steel Ltd.,
Jamshedpur 831007, India

Suvankar Ganguly

Research and Development Division,
Tata Steel Ltd.,
Jamshedpur 831007, India

1Corresponding author.

Contributed by the Heat Transfer Division of ASME for publication in the JOURNAL OF HEAT TRANSFER. Manuscript received May 31, 2014; final manuscript received December 24, 2014; published online August 11, 2015. Assoc. Editor: Suman Chakraborty.

J. Heat Transfer 137(12), 121013 (Aug 11, 2015) (7 pages) Paper No: HT-14-1370; doi: 10.1115/1.4030960 History: Received May 31, 2014

## Abstract

The present work investigates the mixed convective flow and heat transfer characteristics past a triangular cylinder placed symmetrically in a vertical channel. At a representative Reynolds number, Re = 100, simulations are carried out for the blockage ratios $β=1/3,1/4, and 1/6$. Effect of aiding and opposing buoyancy is brought about by varying the Richardson number in the range $-1.0≤Ri≤1.0$. At a blockage ratio of $1/3$, suppression of vortex shedding is found at Ri = 1, whereas von Kármán vortex street is seen both at $β=1/4$ and $1/6$, respectively. This is the first time that such behavior of blockage ratio past a triangular cylinder in the present flow configuration is reported. Drag coefficient increases progressively with increasing Ri and a slightly higher value is noticed at $β=1/3$. For all $β$, heat transfer increases with increasing Ri. Flattening of $Nuavg$ –Ri curve beyond $Ri>0.75$ is observed at $β=1/3$.

<>

## References

von Karman, T. , 2004, Aerodynamics: Selected Topics in the Light of Their Historical Development, Dover Publications, Mineola, NY.
Chandra, A. , and Chhabra, R. P. , 2012, “Mixed Convection From a Heated Semi-Circular Cylinder to Power-Law Fluids in the Steady Flow Regime,” Int. J. Heat Mass Transfer, 55(1–3), pp. 214–234.
Biswas, G. , and Sarkar, S. , 2009, “Effect of Thermal Buoyancy on Vortex Shedding Past a Circular Cylinder in Cross-Flow at Low Reynolds Numbers,” Int. J. Heat Mass Transfer, 52(7–8), pp. 1897–1912.
Chatterjee, D. , and Mondal, B. , 2011, “Effect of Thermal Buoyancy on Vortex Shedding Behind a Square Cylinder in Cross Flow at Low Reynolds Numbers,” Int. J. Heat Mass Transfer, 54(25–26), pp. 5262–5274.
Sarkar, S. , Dalal, A. , and Biswas, G. , 2010, “Mixed Convective Heat Transfer From Two Identical Square Cylinders in Cross Flow at Re = 100,” Int. J. Heat Mass Transfer, 53(13–14), pp. 2628–2642.
Sarkar, S. , Dalal, A. , and Biswas, G. , 2011, “Unsteady Wake Dynamics and Heat Transfer in Forced and Mixed Convection Past a Circular Cylinder in Cross Flow for High Prandtl Numbers,” Int. J. Heat Mass Transfer, 54(15–16), pp. 3536–3551.
Sarkar, S. , Ganguly, S. , and Biswas, G. , 2012, “Mixed Convective Heat Transfer of Nanofluids Past a Circular Cylinder in Cross Flow in Unsteady Regime,” Int. J. Heat Mass Transfer, 55(17–18), pp. 4783–4799.
Sarkar, S. , Ganguly, S. , and Dalal, A. , 2013, “Buoyancy Driven Flow and Heat Transfer of Nanofluids Past a Square Cylinder in Vertically Upward Flow,” Int. J. Heat Mass Transfer, 59, pp. 433–450.
Bhinder, A. P. S. , Sarkar, S. , and Dalal, A. , 2012, “Flow Over and Forced Convection Heat Transfer Around a Semi-Circular Cylinder at Incidence,” Int. J. Heat Mass Transfer, 55(19–20), pp. 5171–5184.
Sarkar, S. , Ganguly, S. , and Dalal, A. , 2012, “Analysis of Entropy Generation During Mixed Convective Heat Transfer of Nanofluids Past a Square Cylinder in Vertically Upward Flow,” ASME J. Heat Transfer, 134(12), p. 122501.
Chang, K.-S. , and Sa, J.-Y. , 1990, “The Effect of Buoyancy on Vortex Shedding in the Near Wake of a Circular Cylinder,” J. Fluid Mech., 22, pp. 253–266.
Singh, S. , Biswas, G. , and Mukhopadhyay, A. , 1998, “Effect of Thermal Buoyancy on the Flow Through a Vertical Channel With a Built-In Circular Cylinder,” Numer. Heat Transfer, Part A, 34(7), pp. 769–789.
De, A. K. , and Dalal, A. , 2007, “Numerical Study of Laminar Forced Convection Fluid Flow and Heat Transfer From a Triangular Cylinder Placed in a Channel,” ASME J. Heat Transfer, 129(5), pp. 646–656.
De, A. K. , and Dalal, A. , 2006, “Numerical Simulation of Unconfined Flow Past a Triangular Cylinder,” Int. J. Numer. Methods Fluids, 52(7), pp. 801–821.
Chandra, A. , and Chhabra, R. P. , 2011, “Flow Over and Forced Convection Heat Transfer in Newtonian Fluids From a Semi-Circular Cylinder,” Int. J. Heat Mass Transfer, 54(1–3), pp. 225–241.
Zdravkovich, M. M. , 1997, Flow Around Circular Cylinders, Fundamentals, Vol. 1, Oxford University Press, New York.
Zdravkovich, M. M. , 2003, Flow Around Circular Cylinders, Applications, Vol. 2, Oxford University Press, New York.
Sparrow, E. M. , Abraham, J. P. , and Tong, J. C. K. , 2004, “Archival Correlations for Average Heat Transfer Coefficients for Non-Circular and Circular Cylinders and for Spheres in Crossflow,” Int. J. Heat Mass Transfer, 47(24), pp. 5285–5296.
Abbassi, H. , Turki, S. , and Nasrallah, S. B. , 2001, “Mixed Convection in a Plane Channel With a Built-In Triangular Prism,” Numer. Heat Transfer, Part A, 39(3), pp. 307–320.
Zielinska, B. J. A. , and Wesfried, J. E. , 1995, “On the Spatial Structure of Global Modes in Wake Flow,” Phys. Fluids, 7(6), pp. 1418–1424.
Sarkar, S. , Ganguly, S. , and Dalal, A. , 2014, “Analysis of Entropy Generation During Mixed Convective Heat Transfer of Nanofluids Past a Rotating Circular Cylinder,” ASME J. Heat Transfer, 136(6), p. 062501.
Sarkar, S. , Ganguly, S. , Dalal, A. , Saha, P. , and Chakraborty, S. , 2013, “Mixed Convective Flow Stability of Nanofluids Past a Square Cylinder by Dynamic Mode Decomposition,” Int. J. Heat Fluid Flow, 44, pp. 624–634.
Badr, H. M. , 1984, “Laminar Combined Convection From a Horizontal Cylinder—Parallel and Contra Flow Regimes,” Int. J. Heat Mass Transfer, 27(1), pp. 15–27.
Lecordier, J. C. , Browne, L. W. B. , Masson, S. L. , Dumouchel, F. , and Paranthoen, P. , 2000, “Control of Vortex Shedding by Thermal Effect at Low Reynolds Numbers,” Exp. Therm. Fluid Sci., 21(4), pp. 227–237.
Shi, J. M. , Gerlach, D. , Breuer, M. , Biswas, G. , and Durst, F. , 2004, “Heating Effect on Steady and Unsteady Horizontal Laminar Flow of Air Past a Circular Cylinder,” Phys. Fluids, 16(12), pp. 4331–4345.
Biswas, G. , Laschefski, H. , Mitra, N. K. , and Fiebig, M. , 1990, “Numerical Investigation of Mixed Convection Heat Transfer in a Horizontal Channel With Built-in Square Cylinder,” Numer. Heat Transfer A, 18(2), pp. 173–188.
Chatterjee, D. , and Roy, S. , 2014, “Influence of Thermal Buoyancy on Boundary Layer Separation Over a Triangular Surface,” Int. J. Heat Mass Transfer, 79, pp. 769–782.
Chatterjee, D. , and Mondal, B. , 2015, “Mixed Convection Heat Transfer From an Equilateral Triangular Cylinder in Cross Flow at Low Reynolds Numbers,” Heat Transfer Eng., 36(1), pp. 123–133.
Chatterjee, D. , and Mondal, B. , 2012, “Forced Convection Heat Transfer From an Equilateral Triangular Cylinder at Low Reynolds Numbers,” Heat Mass Transfer, 48(9), pp. 1575–1587.
Niu, J. , and Zhu, Z. , 2006, “Numerical Study of Three-Dimensional Flows Around Two Identical Square Cylinders in Staggered Arrangements,” Phys. Fluids, 18(4), p. 044106.
Sohankar, A. , Norberg, C. , and Davison, L. , 1999, “Simulation of Three-Dimensional Flow Around a Square Cylinder at Moderate Reynolds Numbers,” Phys. Fluids, 11(2), pp. 288–306.
Saha, A. K. , Biswas, G. , and Muralidhar, K. , 2003, “Three-Dimensional Study of Flow Past a Square Cylinder at Low Reynolds Numbers,” Int. J. Heat Fluid Flow, 24(1), pp. 54–66.
Boussinesq, J. , 1903, Theorie Analytique de la Chaleur, Vol. 2, Gauthier Villars, Paris.
Sparrow, E. M. , and Abraham, J. P. , 2003, “A New Buoyancy Model Replacing the Standard Pseudo-Density Difference for Internal Natural Convection in Gases,” Int. J. Heat Mass Transfer, 46(19), pp. 3583–3591.
Patankar, S. V. , and Spalding, D. B. , 1972, “A Calculation Procedure for Heat, Mass and Momentum Transfer in Three-Dimensional Parabolic Flows,” Int. J. Heat Mass Transfer, 15(10), pp. 1787–1806.
Dhinakaran, S. , 2011, “Heat Transport From a Bluff Body Near a Moving Wall at Re = 100,” Int. J. Heat Mass Transfer, 54(25–26), pp. 5444–5458.
Bhattacharyya, S. , and Maiti, D. K. , 2004, “Shear Flow Past a Square Cylinder Near a Wall,” Int. J. Eng. Sci., 42(19–20), pp. 2119–2134.
Bearman, P. W. , and Zdravkovich, M. M. , 1978, “Flow Around a Circular Cylinder Near a Plane Boundary,” J. Fluid Mech., 89(1), pp. 33–47.
Dulhani, P. J. , Sarkar, S. , and Dalal, A. , 2014, “Effect of Angle of Incidence on Mixed Convective Wake Dynamics and Heat Transfer Past a Square Cylinder in Cross Flow at Re = 100,” Int. J. Heat Mass Transfer, 74, pp. 319–332.

## Figures

Fig. 1

(a) Schematic of problem geometry. (b) A magnified view of the grid nearer to the cylinder.

Fig. 2

Instantaneous contours of (a) vorticity, (b) streamlines, and (c) isotherms at β = 1/3, 1/6, and for various Ri

Fig. 3

Variations of (a) CD, (b) CL,rms, (c) CM, and (d) St with Ri, for different β

Fig. 4

Variations of local Nusselt number over the cylinder surface for (a) different β and at Ri = −0.5 and (b) for different Ri and at β = 1/3

Fig. 5

Variation of average Nusselt number with Ri and for different β

## 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 Proceedings Articles
Related eBook Content
Topic Collections