scholarly journals LAMINAR STABILITY ANALYSIS IN BOUNDARY LAYER FLOW

2009 ◽  
Vol 1 (1) ◽  
pp. 33-36
Author(s):  
CALUDESCU Mihaela ◽  

2014 ◽  
Author(s):  
Alexander V. Fedorov ◽  
Vitaly G. Soudakov ◽  
Ivett A. Levya




Fluids ◽  
2019 ◽  
Vol 4 (3) ◽  
pp. 142
Author(s):  
Xin He ◽  
Kai Zhang ◽  
Chunpei Cai

This paper presents our recent work on investigating velocity slip boundary conditions’ effects on supersonic flat plate boundary layer flow stability. The velocity-slip boundary conditions are adopted and the flow properties are obtained by solving boundary layer equations. Stability analysis of two such boundary layer flows is performed by using the Linear stability theory. A global method is first utilized to obtain approximate discrete mode values. A local method is then utilized to refine these mode values. All the modes in these two scenarios have been tracked upstream-wisely towards the leading edge and also downstream-wisely. The mode values for the no-slip flows agree well with the corresponding past results in the literature. For flows with slip boundary conditions, a stable and an unstable modes are detected. Mode tracking work is performed and the results illustrate that the resonance phenomenon between the stable and unstable modes is delayed with slip boundary conditions. The enforcement of the slip boundary conditions also shortens the unstable mode region. As to the conventional second mode, flows with slip boundary conditions can be more stable streamwisely when compared with the results for corresponding nonslip flows.





1970 ◽  
Vol 29 ◽  
pp. 23-34
Author(s):  
Nazma Parveen ◽  
Md MK Chowdhury

In this paper, stability analysis of incompressible laminar boundary layer flow is presented. For this approach, the partial differential equation is converted to ordinary differential equation by suitable approximation. The implicit finite difference scheme is used to find the point of separations of the boundary layer equations. The finite difference equations for the given flow at each longitudinal position form a linear set with a tridiagonal coefficient matrix. To ensure the correct results, the methods are checked with standard flows like flow past circular cylinder, Howarth’s linear decelerating flows. These methods are demonstrated to compute accurately the separation points of several flows for which comparisons are made with previously published results. Then various series are tested with computer codes. At last, the stability diagram for plane poiseuille flow is shown. Key words: Stability; finite difference scheme; point of separation GANIT J. Bangladesh Math. Soc. (ISSN 1606-3694) 29 (2009) 23-34  DOI: http://dx.doi.org/10.3329/ganit.v29i0.8512



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