THERMAL SCIENCE
International Scientific Journal
NUMERICAL INVESTIGATION OF INCOMPRESSIBLE FLUID FLOW AND HEAT TRANSFER ACROSS A BLUFF BODY IN A CHANNEL FLOW
ABSTRACT
The Lattice Boltzmann Method is applied to computationally investigate the laminar flow and heat transfer of an incompressible fluid with constant material properties in a two-dimensional channel with a built-in bluff body. In this study, a triangular prism is taken as the bluff body. Not only the momentum transport, but also the energy transport is modeled by the Lattice Boltzmann Method. A uniform lattice structure with a single time relaxation rule is used. For obtaining a higher flexibility on the computational grid, interpolation methods are applied, where the information is transferred from the lattice structure to the computational grid by Lagrange interpolation. The flow is investigated for different Reynolds numbers, while keeping the Prandtl number at the constant value of 0.7. The results show how the presence of a triangular prism effects the flow and heat transfer patterns for the steady-state and unsteady-periodic flow regimes. As an assessment of the accuracy of the developed Lattice Boltzmann code, the results are compared with those obtained by a commercial Computational Fluid Dynamics code. It is observed that the present Lattice Boltzmann code delivers results that are of similar accuracy to the well-established Computational Fluid Dynamics code, with much smaller computational time for the prediction of the unsteady phenomena.
KEYWORDS
PAPER SUBMITTED: 2012-01-05
PAPER REVISED: 2012-05-22
PAPER ACCEPTED: 2012-07-10
THERMAL SCIENCE YEAR
2015, VOLUME
19, ISSUE
Issue 2, PAGES [537 - 547]
- Wesfreid, J.E., Goujon-Durand, S., Zielinska, B.J.A., Global Mode Behavior of the Streamwise Velocity in Wakes, J Phys, 6 (1996), pp.343-1357.
- Bosch, G., Kappler, M., Rodi, W., Experiments on the Flow Past a Square Cylinder Placed Near a Wall, Exp. Thermal Fluid Sci. 13 (1996), pp 292-305.
- Nakagawa, S., Senda, M., Kikkawa, S., Wakasugi, Hiraide, A., Heat Transfer in Channel Flow Around a Reactangular Cylinder, Heat Transfer-Japanese Reseach, 27 (1998), pp.84-94.
- Biswas, G., Laschefski, H., Mitra, N. K., Fiebig M., Numerical Investigation of Mixed Convection Heat Transfer in a Horizontal Channel with a Built-in Square Cylinder, Num Heat Transfer Part A, 18 (1990), pp.173-188.
- Valencia, A., Cid, M., Turbulent Unsteady Flow and Heat Transfer in Channels with Periodically Mounted Square Bars, Int. J. Heat Mass Transfer, 45 (2002), pp. 1661-1673
- Gupta, M., Dudi, R., Kumar, S., Flow Structure and Heat Transfer Analysis in a Laminar Channel Flow with Built-in Side-by-Side Dual Triangular Prism, Journal of Engineering and Technology, 1 (2011), 2, pp. 65-69;
- Abbasi H., Turki, S., Ben Nasrallah, S., Numerical Investigation of Forced Convection in a Horizontal Channel with a Built-in Triangular Prism, Journal Heat Transfer, 124 (2002), pp. 571-573.
- Chattopadhyay, H., Augmentation of Heat Transfer in a Channel Using a Triangular Prism, Int J Thermal Sciences. 46 (2007), pp.501-505.
- Ellahi R., Steady and unsteady flow for Newtonian and non-Newtonian fluids: Basics, concepts and methods, VDM Publishing GmbH & Co. KG, Germany, 2009.
- Mohammad, A.A., Applied Lattice Boltzmann Method, SURE Print, Dalbrent,Canada, 2007
- Succi, S., The Lattice Boltzmann Equation for Fluid Dynamics and Beyond, Clarendon, Oxford, 2001
- Benim, A.C., Aslan, E., Taymaz, I., Application of the Lattice Boltzmann Method to Steady Incompressible Laminar Hgh Re Flows. Proceedings 7th IASME/WSEAS Int Conf Fluid Mechanics and Aerodynamics, Moscow,Russia, 2009, pp. 220-225.
- Fluent 6.3, User's Guide, Fluent Inc, Lebanon, 2009
- Moussaoui, M.A., Mezrhab, A., Naji, H., El Ganaoui, M., Prediction of Heat Transfer in a Plane Channel Built-in Three Heated Square Obstacles Using an MRT Lattice Boltzmann Method, Proceedings of the 6th International Conference on Computational Heat and Mass Transfer, Guangzhou, China, 2009, pp. 176-181.
- He, X., Luo, L.S., Dembo, M., Some Progress in Lattice Boltzmann Method. Part I. Nonuniform Mesh Grids, Journal of Computational Physics,129, (1996), pp.357-363.
- He, X., Doolen, G., Lattice Boltzmann Method on Curvilinear Coordinates System: Flow Around a Circular Cylinder, Journal of Computational Physics, 134, (1997), pp.306-315.
- He, X., Luo, L.S., Dembo, M., Some progress in the Lattice Boltzmann Method: Reynolds number enhancement in simulations. Physica A., 219, (1997), pp.276-285.
- Lu, Z., Liao, Y., Qian, D., McLaughlin, J.B., Derksen, J. J., Kontomaris, K., Large Eddy Simulations of a Stirred Tank Using the Lattice Boltzmann Method on a Nonuniform Grid, J. Computational Physics,181 (2002), pp.675-704.
- Niu, X. D., Shu, C., Chew, Y. T., Wang, T. G., Investigation of Stability and Hydrodynamics of Different Lattice Boltzmann Methods, J. Statistical Physics, 117, (2004), pp.665-679.
- Sunder, C. S., Baskar, G., Babu, V., Strenski, D., A Detailed Performance Analysis of the Interpolation Supplemented Lattice Boltzmann Method on the Cray T3E and Cray X1, The International Journal of High Performance Computing Applications, 26 (2006), pp.557-570.
- Bhatnagar, P., Gross, E., Krook, M., A Model for Collisional Processes in Gases I: Small Amplitude Processes in Charged and Neutral One-Component System, Phys Review, 94 (1954), pp.511-525.
- He, X., Luo, L.S., Lattice Boltzmann model for the incompressible Navier-Stokes equation, Journal Statistical Physics, 88 (1997), pp.927-944.
- Sukop, M.C., Daniel, T. T .Jr., Lattice Boltzmann Modelling - An Introduction for Geoscientist and Engineers, Springer, Berlin, 2006
- Bejan, A., Heat Transfer, John Wiley & Sons Inc., New York, USA, 1993
- Camarri, S., Giannetti, F., On the inversion of the von Kármán street in the wake of a confined square cylinder, J. Fluid Mech., 574 (2007), pp. 169-178