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1969•Journal of Fluid MechanicsRequires access

Free convection at low Prandtl numbers

H. K. Kuiken

Open publisher page 64 citations

Abstract

In this paper it is shown that the free convection boundary layer approaches a singular character if the Prandtl number tends to zero. The method of matched asymptotic expansions is used to integrate the equations for this extreme case. An expression is derived for the Nusselt—Grashof relation and the results are compared with those of previous investigations which attack the problem in a different way.

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What this paper is about

In this paper it is shown that the free convection boundary layer approaches a singular character if the Prandtl number tends to zero. The method of matched asymptotic expansions is used to integrate the equations for this extreme case. An expression is derived for the Nusselt—Grashof relation and the results are compared with those of previous investigations which attack the problem in a different way.

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OpenAlex reports 64 citations for this work. Citation counts describe recorded attention and do not establish research quality.

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Available abstract

In this paper it is shown that the free convection boundary layer approaches a singular character if the Prandtl number tends to zero. The method of matched asymptotic expansions is used to integrate the equations for this extreme case. An expression is derived for the Nusselt—Grashof relation and the results are compared with those of previous investigations which attack the problem in a different way.

Key concepts: Prandtl number, Grashof number, Nusselt number, Mechanics, Boundary layer, Turbulent Prandtl number, Natural convection, Character (mathematics)

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