Asymptotic solution for rotating disk flow in a porous medium

• Autorzy: Attia H. A.
• Języki publikacji: EN

Abstrakty

EN

In this paper, we present asymptotic solution to a Navier-Stokes equation of von Karman type for the flow due to a rotating disk in a porous medium. Asymptotic solutions to a Navier-Stokes equation is given in the case of small as well as large values of the porosity parameter β whose coefficients are obtained in closed form in terms of properly scaled von Karman's similarity coordinate. Straining of coordinates is used to remove secular terms and enable to obtain expressions that can be used to determine the coefficients of the expansions to any order. A comparison of the asymptotic solution with an exact numerical solution for the governing nonlinear differential equations is presented.

Słowa kluczowe

EN

asymptotic solutions; porous medium

PL

rozwiązanie asymptotyczne; ośrodek porowaty

• Wydawca: Wydawnictwo Politechniki Łódzkiej
• Czasopismo: Mechanics and Mechanical Engineering
• Rocznik: 2010
• Tom: Vol. 14, nr 1
• Strony: 119--136
• Opis fizyczny: Bibliogr. 16 poz.

Twórcy

autor

Attia H. A.

• Dept. of Mathematics, College of Science, King Saud University (Al-Qasseem Branch), P.O. Box 237, Buraidah 81999, KSA

Bibliografia

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