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Application of the method of variational embedding to wedge flow with variable fluid properties

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Abstract

The method of variational embedding is used to transform the system of non-linear partial differential equations, which describe the wedge flow of a viscous incompressible fluid whose dynamic viscosity and thermal conductivity may vary with temperature, into a system of non-linear ordinary differential equations. This system is solved numerically for a range of parameter values. The effects of varying these parameters upon the local skin friction coefficient and local Nusselt number are discussed.

Résumé

L'écoulement sur un dièdre d'un liquide incompressible, dont la viscosité et la conductivité thermique sont fonction de la température, est décrit par un systéme d'équations différentielles partielles non-linéaires. Ces équations sont transformées en équations différentielles ordinaires non-linéaires par la méthode dite “variational embedding”. Le système ainsi obtenu est résolu numériquement pour différentes valeurs des paramètres. On discute en particulier les variations du coéfficient de friction local et du nombre de Nusselt.

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Authors and Affiliations

  1. Dept. of Mathematical Sciences, University of Dundee, Dundee, Scotland

    R. Balasubramanyam & K. Unsworth

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  1. R. Balasubramanyam
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  2. K. Unsworth
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Balasubramanyam, R., Unsworth, K. Application of the method of variational embedding to wedge flow with variable fluid properties. Z. angew. Math. Phys. 36, 775–782 (1985). https://doi.org/10.1007/BF00960389

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  • DOI: https://doi.org/10.1007/BF00960389

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