Investigation of the Flow and Heat Transfer around Cylinders at Low Re

Abstract:

2-D computational analyses were conducted for unsteady viscous flow and heat transfer across cylinders of different geometries and different incident angle. Circular, square (both at 0° and 90° angles of incidence) and elliptic cylinders were examined. The calculations were performed by solving the unsteady 2-D Navier-Stokes equations at Re = 100. The calculated results produce drag and lift coefficients, as well as Strouhal number in excellent agreement with published data. Calculations for unsteady, incompressible 2-D flow around a square cylinder at incidence angle of 0° and 45° and for Reynolds number = 100 were carried out. Cycle independence and grid independence results were obtained for the Strouhal number. The results were in excellent agreement with the available experimental and numerical results. Numerical results show that the Strouhal number increases with fluid angle of incidence on the cylinder. The wake behind the cylinder is wider and more violent for a square cylinder at 45° incidence compared to a square at 0° this is due to the increase in the characteristic length in the flow direction. The present studywas carried out for a 2-D single cylinder at fixed location inside a channel for unidirectional velocity. To get more accurate results computation on 3-D geometry should be carried out.

• Periodical: Advanced Materials Research (Volumes 156-157)
• Pages: 1630-1634
• DOI: https://doi.org/10.4028/www.scientific.net/AMR.156-157.1630
• Online since: October 2010
• Authors: Lei Yue, Zhi Guo Zhang, Da Kui Feng, Ashvinikumar V. Mudaliar
• Keywords: Cylinder, Flow Transfer, Heat Transfer, Numerical Method

References

[1] A. Thom, Proc. Roy. Soc. 141, 651(1933).

[2] M. Kawaguti, Journal of Phys. Soc. 8, 747(1953).

[3] M. Kawaguti, and P. Jain, Journal of Phys. Soc. 21, 2055(1966).

[4] D. B. Ingham, Journal of Fluid Mech. 31, 815(1968).

[5] H. B. Keller, and H. Takami, in Numerical Solutions of Nonlinear Differential Equations, Edited Greenspan D, New York: Wiley(1966), pp.115-140.

[6] J. Fromm, and H. Harlow, Physics of Fluids 6, 975(1963).

[7] B. N. Rajani et al, Applied Mathematical Modelling 33, 1228(2009).

[8] B. N. Rajani, A. Kandasamy, and Sekhar Majumdar, Applied Mathematical Modelling 33, 1228(2009).

[9] Zakir Faruquee et al, International Journal of Heat and Fluid Flow 28, 1178(2007).

[10] H. J. Lugt, and H. J. Haussling, Journal of Fluid Mechanics 65, 711(1974).

[11] H. Honji, Reports of the Research Institute of Applied Mechanics 19, (1972).

[12] S. Taneda, Journal of Physics society of Japan 33, 1706(1972).

[13] S. Taneda, Progress in Aerospace Science 17, 287(1977).

[14] A. Sohankar, Journal of Wind Engineering and Industrial Aerodynamics 96, 640(2008).

[15] Dong Hun Yeo, and Nicholas P. Jones, Journal of Wind Engineering and Industrial Aerodynamics 96, 1947(2008).

[16] S. C. Luo et al, Journal of Fluids and Structures 23, 227(2007).

[17] David Stack, and Hector R. Bravo, Applied Mathematical Modeling 33, 1633(2009).

[18] J. H. Ferziger, and M. Peric, Editor, Computational Methods for Fluid Dynamics, Springer-Verlag, Berlin(3rd Edition).

[19] C. Norberg, Journal of Wind Engng. Ind. Aerodyn. 49, 187(1993).

[20] C. W. Knisely, Journal of Fluids Struct. 4, 371(1990).

[21] C. F. Lange et al, International Journal of Heat and Mass Transfer 41, 3409(1998).

[22] J. Zhang, and C. Dalton, International Journal of Numerical Method in Fluids 26, 1003(1998).

[23] R. Franke, W. Rodi, and B. Schonung, Journal of Wind Engng. Ind Aerodyn. 35, 237(1995).

[24] C. H. K. Williamson, Annual Review of Fluid Mech. 28, 477(1996).