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Numerical Heat Transfer, Part A: Applications
An International Journal of Computation and Methodology
Volume 70, 2016 - Issue 2
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Original Articles

On the numerical solution of generalized convection heat transfer problems via the method of proper closure equations – part II: Application to test problems

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Pages 204-222 | Received 01 Oct 2015, Accepted 09 Feb 2016, Published online: 13 Jul 2016

References

  • R. Panton, Incompressible Flow, John Wiley & Sons, New York, 2005.
  • A. Bejan, Convection Heat Transfer, John Wiley & Sons, New York, 2004.
  • D. V. Davis, Natural Convection of Air in a Square Cavity: A Benchmark Solution, Int. J. Numer. Methods Fluids, vol. 3, pp. 249–264, 1983.
  • D. C. Wan, B. S. V. Patnaik, and G. W. Wei, A New Benchmark Quality Solution for the Buoyancy-Driven Cavity by Discrete Singular Convolution, Numer. Heat Transfer Part B, vol. 40, pp. 199–228, 2001.
  • T. H. Kuehn and R. J. Goldstein, An Experimental and Theoretical Study of Natural Convection in the Annulus Between Horizontal Concentric Cylinders, J. Fluid Mechanic, vol. 74, pp. 695–719, 1975.
  • C. Shu, Application of Differential Quadrature Method to Simulate Natural Convection in a Concentric Annulus, Int. J. Numer. Methods Fluids, vol. 30, pp. 977–993, 1999.
  • D. Ho-Minh, N. Mai-Duy, and T. Tran-Cong, A Galerkin-RBF Approach for the Stream Function-Vorticity-Temperature Formulation of Natural Convection in 2D Enclosured Domains, Comput. Model. Eng. Sci., vol. 44, pp. 219–248, 2009.
  • Y. L. Wu, G. R. Liu, and Y. T. Gu, Application of Meshless Local Petrov-Galerkin (MLPG) Approach to Simulation of Incompressible Flow, Numer. Heat Transfer Part B, vol. 48, pp. 459–475, 2005.
  • M. Najafi and V. Enjilela, Natural Convection Heat Transfer at High Rayleigh Numbers- Extended Meshless Local Petrov-Galerkin (MLPG) Primitive Variable Method, Eng. Anal. Boundary Elem., vol. 44, pp. 170–184, 2014.
  • T. S. Cheng, Characteristics of Mixed Convection Heat Transfer in a Lid-Driven Square Cavity with Various Richardson and Prandtl numbers, Int. J. Thermal Sci., vol. 50, pp. 197–205, 2011.
  • M. Najafi, A. Arefmanesh, and V. Enjilela, Extending MLPG Primitive Variable-Based Method for Implementation in Fluid Flow, and Natural, Forced and Mixed Convection Heat Transfer, Eng. Anal. Boundary Elem., vol. 37, pp. 1285–1299, 2013.
  • A. Arefmanesh and M. Nikfar, Analysis of Natural Convection in a Nanofluid-Filled Triangular Enclosure Induced by Cold and Hot Sources on the Walls Using Stabilised MLPG Method, Can. J. Chem. Eng., vol. 91, pp. 1711–1728, 2013.
  • J. R. Koseff and R. L. Street, Circulation Structure in a Stratified Cavity Flow, J. Hydraul. Eng., vol. 111, pp. 334–354, 1985.
  • M. K. Moallemi and K. S. Jang, Prandtl Number Effects on Laminar Mixed Convection Heat Transfer in a Lid-Driven Cavity, Int. J. Heat Mass Transfer, vol. 53, pp. 1881–1892, 1992.

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