A parametric differentiation version with finite-difference scheme applicable to a class of problems in boundary layer flow with massive blowing

1982 ◽  
Vol 10 (1) ◽  
pp. 1-6 ◽  
Author(s):  
R. Krishnaswamy ◽  
G. Nath
Keyword(s):  
Boundary Layer ◽  
Finite Difference ◽  
Difference Scheme ◽  
Boundary Layer Flow ◽  
Finite Difference Scheme ◽  
Layer Flow

scholarly journals Stability Analysis of the Laminar Boundary Layer Flow

1970 ◽  
Vol 29 ◽  
pp. 23-34
Author(s):  
Nazma Parveen ◽  
Md MK Chowdhury
Keyword(s):  
Differential Equation ◽  
Boundary Layer ◽  
Stability Analysis ◽  
Finite Difference ◽  
Difference Scheme ◽  
Laminar Boundary Layer ◽  
Boundary Layer Flow ◽  
Finite Difference Scheme ◽  
Linear Set ◽  
Layer Flow

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

scholarly journals A Non-Linear Mixed Spectral Finite-Difference 3-D model for planetary boundary-layer flow over complex terrain

2011 ◽  
Vol 6 (1) ◽  
pp. 75-78 ◽  
Author(s):  
W. Weng ◽  
P. A. Taylor
Keyword(s):  
Boundary Layer ◽  
Finite Difference ◽  
Planetary Boundary Layer ◽  
Boundary Layer Flow ◽  
Complex Terrain ◽  
Surface Boundary ◽  
Surface Boundary Layer ◽  
Non Linear ◽  
Flow Over Topography ◽  
Layer Flow

Abstract. The Non-Linear Mixed Spectral Finite-Difference (NLMSFD) model for surface boundary-layer flow over complex terrain has been extended to planetary boundary-layer flow over topography. Comparisons are made between this new version and the surface layer model. The model is also applied to simulate an Askervein experimental case. The results are discussed and compared with the observed field data.

scholarly journals Higher Order Compact Finite Difference Schemes for Unsteady Boundary Layer Flow Problems

2013 ◽  
Vol 2013 ◽  
pp. 1-10 ◽  
Author(s):  
P. G. Dlamini ◽  
S. S. Motsa ◽  
M. Khumalo
Keyword(s):  
Boundary Layer ◽  
Finite Difference ◽  
Differential Equations ◽  
Boundary Layer Flow ◽  
Nonlinear Partial Differential Equations ◽  
Finite Difference Schemes ◽  
Unsteady Boundary Layer ◽  
Compact Finite Difference ◽  
Flow Problems ◽  
Layer Flow

We investigate the applicability of the compact finite difference relaxation method (CFDRM) in solving unsteady boundary layer flow problems modelled by nonlinear partial differential equations. The CFDRM utilizes the Gauss-Seidel approach of decoupling algebraic equations to linearize the governing equations and solve the resulting system of ordinary differential equations using compact finite difference schemes. The CFDRM has only been used to solve ordinary differential equations modelling boundary layer problems. This work extends its applications to nonlinear partial differential equations modelling unsteady boundary layer flows. The CFDRM is validated on two examples and the results are compared to results of the Keller-box method.

scholarly journals A Non-Standard Finite Difference Scheme for Magneto-Hydro Dynamics Boundary Layer Flows of an Incompressible Fluid Past a Flat Plate

2021 ◽  
Vol 26 (1) ◽  
pp. 22
Author(s):  
Riccardo Fazio ◽  
Alessandra Jannelli
Keyword(s):  
Boundary Layer ◽  
Finite Difference ◽  
Incompressible Fluid ◽  
Difference Scheme ◽  
Flat Plate ◽  
Finite Difference Scheme ◽  
Approximate Solutions ◽  
Numerical Results ◽  
Uniform Mesh ◽  
Wide Range

This paper deals with a non-standard implicit finite difference scheme that is defined on a quasi-uniform mesh for approximate solutions of the Magneto-Hydro Dynamics (MHD) boundary layer flow of an incompressible fluid past a flat plate for a wide range of the magnetic parameter. The proposed approach allows imposing the given boundary conditions at infinity exactly. We show how to improve the obtained numerical results via a mesh refinement and a Richardson extrapolation. The obtained numerical results are favourably compared with those available in the literature.

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