MIXED CONVECTION HEAT TRANSFER PAST IN-LINE SQUARE CYLINDERS IN A VERTICAL DUCT
Abstract
The mixed convection heat transfer around five in-line isothermal square cylinders periodically arranged within a vertical duct is numerically investigated in this paper. Spacing between two cylinders (S) is fixed at one width of the cylinder dimension (d) and the flow confinement of various degrees are studied for the blockage ratios of B = 0%, 10%, 25% and 50%. The buoyancy aided/opposed convection is examined for the Richardson number (Ri) ranges from -1 to +1 with a fixed Prandtl number Pr = 0.7 and Reynolds number Re = 100. The transient numerical simulation for this two-dimensional, incompressible, laminar flow and heat transfer problem is carried out by a finite volume based commercial CFD package FLUENT TM. The representative streamlines and isotherm patterns are presented to interpret the flow and thermal transport visualization. Additionally, the time and surface average skin friction coefficient (Cf), drag (CD) and lift (CL) coefficients as well as the time and surface average Nusselt number (Nu) for representative cylinders are determined to elucidate the effects of Re and Ri on the flow and heat transfer phenomena.
Dates
- Submission Date2010-10-04
- Revision Date2012-02-08
- Acceptance Date2012-11-24
References
- Oosthuizen, P. H., Madan, S., The effect of flow direction on combined convective heat transfer from cylinders to air, Transaction of ASME C Journal of Heat Transfer, 93 (1971), pp.240-242
- Merkin, J. H., Mixed convection from a horizontal circular cylinder, International Journal of Heat and Mass Transfer, 20 (1977), pp.73-77
- Jain, P. C., Lohar, B. L., Unsteady mixed convection heat transfer from a horizontal circular cylinder, Transaction of ASME Journal of Heat Transfer, 101 (1979), pp.126-131
- Farouk, B., Guceri, S. I., Natural and mixed convection heat transfer around a horizontal cylinder within confining walls, Numerical Heat Transfer A, 5 (1982), pp.329-341
- Badr, H. M., Laminar combined convection from a horizontal cylinder-parallel and contra flow regime, International Journal of Heat and Mass Transfer, 27 (1984), pp.15-27
- Badr, H. M., On the effect of flow direction on mixed convection from a horizontal cylinder, International Journal of Numerical Methods in Fluids, 5 (1985), pp.1-12
- Ho, C. J., Wu, M. S., Jou, J. B., Analysis of buoyancy-aided convection heat transfer from a horizontal cylinder in a vertical duct at low Reynolds number, Heat and Mass Transfer, 25 (1990), pp.337-343
- Chang, K. S., Sa, J. Y., The effect of buoyancy on vortex shedding in the near wake of a circular cylinder, Journal of Fluid Mechanics, 220 (1990), pp.253-266
- Lacroix, M., Carrier, R., Mixed convection heat transfer from vertically separated horizontal cylinders within confining walls, Numerical Heat Transfer A, 27 (1995), 4, pp.487-498
- Nakabe, K., Hasegawa, H., Matsubara, K., Suzuki, K., Heat Transfer from a heated cylinder in a flow between parallel plates in a free-forced combined convection regime, Proceedings, 9th International Symposium on Transport Phenomena in Thermal Fluids Engineering, Singapore, 1996, pp.651-656
- Krishne Gowda, Y. T., Aswatha Narayana, P. A., Seetharamu, K. N., Numerical Investigation of Mixed Convection Past In- Line Tube Bundles, Heat and Mass Transfer, 31 (1996), pp.347- 352
- Krishne Gowda, Y. T., Aswatha Narayana, P. A., Seetharamu, K. N., Buoyancy effect on Flow and Teat Transfer Past In-Line Tube Bundles, Proceedings, ISHMT and ASME Heat and Mass Transfer Conference, Surathkal, 1995, pp.763-768
- Krishne Gowda, Y. T., Aswatha Narayana, P. A., Seetharamu, K. N., Mixed convection heat transfer past in-line cylinders in a vertical duct, Numerical Heat Transfer A, 31 (1997), pp.551-562
- Singh, S., Biswas, G., Mukhopadhyay, A., Effect of thermal buoyancy on the flow through a vertical channel with a built-in circular cylinder, Numerical Heat Transfer A, 34 (1998), pp.769-789
- Patnaik, B. S. V., Narayana, P. A. A., Seetharamu, K. N., Numerical simulation of vortex shedding past a circular cylinder under the influence of buoyancy, International Journal of Heat and Mass Transfer, 42 (1999), pp.3495-3507
- Saha, A. K., Unsteady free convection in a vertical channel with a built-in heated square cylinder, Numerical Heat Transfer A, 38 (2000), pp.795-818
- Jue, T. C., Wu, H. W., Hung, S. Y., Heat transfer predictions around three heated cylinders between two parallel plates, Numerical Heat Transfer A, 40 (2001), 7, pp.715-733
- Sharma, A., Eswaran, V., Effect of aiding and opposing buoyancy on the heat and fluid flow across a square cylinder at Re = 100, Numerical Heat Transfer A, 45 (2004), pp.601-624
- Sharma, A., Eswaran, V., Effect of channel-confinement and aiding/opposing buoyancy on the two-dimensional laminar flow and heat transfer across a square cylinder, International Journal of Heat and Mass Transfer, 48 (2005), pp.5310-5322
- Singh, P. S. K., Panigrahi, K., Muralidhar, K., Effect of buoyancy on the wakes of circular and square cylinders: a schlieren-interferometric study, Experiments in Fluids, 43 (2007), pp.101-123
- Hussein, A. M., Yasin, K. S., Numerical study of combined convection heat transfer for thermally developing upward flow in a vertical cylinder, Thermal Science, 12 (2008), pp.89-102
- Chatterjee, D., Mixed Convection Heat Transfer from Tandem Square Cylinders in a Vertical Channel at Low Reynolds Numbers, Numerical Heat Transfer A, 58 (2010), pp. 740-755
- Gurunath, G., Amiroudine, S., Chatterjee, D., Biswas, G., Effect of aiding/opposing buoyancy on two-dimensional laminar flow and heat transfer across a circular cylinder, Numerical Heat Transfer A, 58 (2010), pp.385-402
- FLUENT 6.0 User's Guide, Vol. 5, Fluent Inc., Lebanon, NH, 2001.
- Mukhopadhyay, A., Biswas, G., Sundararajan, T., Numerical investigation of confined wakes behind a square cylinder in a channel, International Journal for Numerical Methods in Fluids, 14 (1992), pp.1473-1484
Volume
17,
Issue
2,
Pages567 -580