APPLICATION OF LATTICE BOLTZMANN METHOD AND FIELD SYNERGY PRINCIPLE TO THE HEAT TRANSFER ANALYSIS OF CHANNEL FLOW WITH OBSTACLES INSIDE

Abstract

In this paper the lattice Boltzmann method and field synergy principle are applied to simulate two-dimensional incompressible steady channel flow under low Reynolds number, and analyze the local influence on velocity field and temperature field caused by inserting cylinder obstacles of different cross-section. Furthermore, field synergy principle of elliptic flow type is applied to demonstrate that the increased interruption within the fluid increases the synergistic level between the velocity field and temperature gradient field. As the intersection angle between the velocity vector and the temperature gradient vector decreases by inserting cylinder obstacles to fluid field, the results of heat transfer will improve significantly.

Dates

  • Submission Date2010-07-12
  • Revision Date2010-09-11
  • Acceptance Date2010-11-11

DOI Reference

10.2298/TSCI11S1075W

References

  1. Chen, S., Doolen, G. D., Lattice Boltzmann Model for Fluid Flows, Annu. Rev. Fluid Mech., 30 (1998), 1, pp. 329-364
  2. Grunau, D., Chen, S., Eggert, K., A Lattice Boltzmann Model for Multiphase Fluid Flows, Phys. Fluids A, 5 (1993), 10, pp. 2557-2562
  3. Guo, Z., Zhao, T. S., Lattice Boltzmann Model for Incompressible Flows through Porous Media, Phys. Rev. E, 66 (2002), 3, pp. 304-308
  4. Guo, Z. Y., Li, D. Y., Wang, B. X., A Novel Concept for Convective Heat Transfer Enhancement, Int. J. Heat Mass Transfer, 41 (1998), 14, pp. 2221-2225
  5. Tao, W. Q., Guo, Z. Y., Wang, B. X., Field Synergy Principle for Enhancing Convective Heat Transfer-its Extension and Numerical Verification, Int. J. Heat Mass Transfer, 45 (2002), 18, pp. 3849-3856
  6. Qian, Y. H., d'Humieres, D., Lallemand, P., Lattice BGK Models for Navier-Stokes Equation, Europhy.Lett., 17 (1992), 6, pp. 479-484
  7. Peng, Y., Shu, C., Chew, Y. T., Simplified Thermal Lattice Boltzmann Model for Incompressible Thermal Flows, Phys. Rev. E, 68 (2003), 2, pp. 206-211
  8. Shu, C., Peng, Y., Chew, Y. T., Simulation of Natural Convection in a Square Cavity by Taylor Series Expansion and Least-Square-Based Lattice Boltzmann Method, Int. J. Mod. Phys. C, 13 (2002), 10, pp. 1399-1414
  9. Zou, Q., He, X., On Pressure and Velocity Boundary Conditions for the Lattice Boltzmann BGK Model, Phys. Fluids, 9 (1997), 6, pp. 1591-1598
Volume 15, Issue 11, Pages75 -80