منابع مشابه
Degeneracy in the Blasius Problem
The Navier-Stokes equations for the boundary layer are transformed, by a similarity transformation, into the ordinary Blasius differential equation which, together with appropriate boundary conditions constitutes the Blasius problem, f ′′′(η) + 1 2 f(η)f ′′(η) = 0, f(0) = 0, f ′(0) = 0, f ′(∞) = 1. The well-posedness of the Navier-Stokes equations is an open problem. We solve this problem, in t...
متن کاملTransformation Methods for the Blasius Problem and its Recent Variants
Blasius problem is the simplest nonlinear boundary layer problem. We hope that any approach developed for this epitome can be extended to more difficult hydrodynamics problems. With this motivation we review the so called Töpfer transformation, which allows us to find a non-iterative numerical solution of the Blasius problem by solving a related initial value problem and applying a scaling tran...
متن کاملFar Downstream Analysis for the Blasius Boundary-layer Stability Problem
In this paper we examine the large Reynolds number, Re, asymptotic structure of the wavenumber in the Orr-Sommerfeld region, for the Blasius boundary-layer on a semi-infinite flat plate given by Goldstein (1). We show that the inclusion of the term which contains the leading order non-parallel effects, at O(Re−1/2), leads to a non-uniform expansion. By considering the far downstream form of eac...
متن کاملThe Development and Application of the RCW Method for the Solution of the Blasius Problem
In this research, a numerical algorithm is employed to investigate the classical Blasius equation which is the governing equation of boundary layer problem. The base of this algorithm is on the development of RCW (Rahmanzadeh-Cai-White) method. In fact, in the current work, an attempt is made to solve the Blasius equation by using the sum of Taylor and Fourier series. While, in the most common ...
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ژورنال
عنوان ژورنال: Journal of Fluid Mechanics
سال: 2019
ISSN: 0022-1120,1469-7645
DOI: 10.1017/jfm.2019.357