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  • About
  • The Global ETD Search service is a free service for researchers to find electronic theses and dissertations. This service is provided by the Networked Digital Library of Theses and Dissertations.
    Our metadata is collected from universities around the world. If you manage a university/consortium/country archive and want to be added, details can be found on the NDLTD website.
1

[en] ASYMPTOTIC EXPANSIONS APPLIED TO FORCED CONVECTION AT VANISHINGLY SMALL VISCOSITY FOR THE CONSTANT VORTICITY FLOW OVER AN INFINITE WEDGE / [pt] EXPANSÕES ASSINTÓPICAS APLICADAS À CONVECÇÃO FORÇADA EM UMA CUNHA INFITA IMERSA NUM ESCOAMENTO COM VORTICIDADE CONSTANTE E BAIXA VISCOSIDADE

SIDNEY STUCKENBRUCK 28 October 2011 (has links)
[pt] Abreu (1967) estudou o problema do escoamento bi-dimensional viscoso, incomprenssível, com vorticidadade constante, aplicado ao escoamento simético em torno de uma cunha infinita. Este trabalho adorda o problema de Abreu para acaso em que o fluido em escoamento acha-se a uma temperatura constante e a superfície da cunha é não-isotérmica, ocorrendo o surgimento de uma camada limite térmica. Foi aplicado o método das expressões assintóticas acopladas. Existem quatro problemas a serem resolvidos: dois externos e dois internos. A solução desses problemas conduz a solução assintótica do problema para altos valores do número de Reynolds. Foi resolvido o sistema composto pelas equações de Navier-Stokes, continuide e energia. É apresentada a solução geral para semi-ângulos de cunha entre 0 grau e 90 graus, e a solução numérica para casos particulares de semi-ângulos de 0 grau, 18 graus, 72 graus e para valores de Prandtl iguais a 0.7, 1 e 10. / [en] Abreu (1967) studied the two-dimensional ,inconpressible, constant vorticity flow past an infinite wedge. In the present work the problem solved by Abreu is considered for the case where a constant temperature fluid flows past an infinite wedge with non-isothernal surface, thus given rise to a thermal boundary layer. The matched asyntotic expansion netod,as present in Van Dyke(1962), was applied to the solution of the problem. According to Van Dyke there are four problems leads to the desired asynpotic solution for large values of the Reynolds number. The solution defines a system forned by the Navier Strokes, continuity and energy equations. The asym ptotic expansions found by Abreu (1967) for the hydrodynamic problem i.e for the continuity and Navier-Stokes equations were used in our solution. Although a general analytical solution was found for any angle of the wedge between 0 degree and 90 degrees numerical solutions are show for the particular semi-angle values of 0 degree, 18 degrees and 72 degrees and Prandt 1 numbers values of 0.7,1.0 and 10.

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