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Comparative study of forced convection of a power-law fluid in a channel with a built-in square cylinder

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Abstract

A detailed comparison between the lattice Boltzmann method and the finite element method is presented for an incompressible steady laminar flow and heat transfer of a power-law fluid past a square cylinder between two parallel plates. Computations are performed for three different blockage ratios (ratios of the square side length to the channel width) and different values of the power-law index n covering both pseudo-plastic fluids (n < 1) and dilatant fluids (n > 1). The methodology is validated against the exact solution. The local and averaged Nusselt numbers are also presented. The results show that the relatively simple lattice Boltzmann method is a good alternative to the finite element method for analyzing non-Newtonian fluids.

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Authors and Affiliations

  1. Damghan University, Damghan, Iran

    R. Mohebbi

  2. Shahrood University of Technology, Shahrood, Iran

    M. Nazari & M. H. Kayhani

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  1. R. Mohebbi
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  2. M. Nazari
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  3. M. H. Kayhani
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Original Russian Text © R. Mohebbi, M. Nazari, M.H. Kayhani.

Translated from Prikladnaya Mekhanika i Tekhnicheskaya Fizika, Vol. 57, No. 1, pp. 64–79, January–February, 2016. Original article submitted October 29, 2012; revision submitted December 24, 2013.

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Mohebbi, R., Nazari, M. & Kayhani, M.H. Comparative study of forced convection of a power-law fluid in a channel with a built-in square cylinder. J Appl Mech Tech Phy 57, 55–68 (2016). https://doi.org/10.1134/S0021894416010077

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  • DOI: https://doi.org/10.1134/S0021894416010077

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