Analytical solution for forced convection in a semi-circular channel filled with a porous medium

  • Wang C
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Fully developed laminar forced convection inside a semi-circular channel filled with aBrinkman-Darcy porous medium is studied.Analytical solutions for flowand constant flux heat transfer are found using a mixture of Cartesian and cylindrical coordinates. The problem depends on a parameter s, which is proportional to the inverse square of the Darcy number. Velocity boundary layers exist when s is large. Both friction factor-Reynolds num- ber product and Nusselt number are determined. Closed form expressions for the clear fluid (s → 0) limit are found. Rare analytical solutions not only describe fundamental channel flows, but also serve as a check for more complicated numerical solutions.

Author-supplied keywords

  • Forced convection
  • Porous medium
  • Semi-circular

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  • C. Y. Wang

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