Application of modified Laplace decomposition method for solving boundary layer equation

ABSTRACTA method, very suitable for use with an automatic computer, of solving the Hartree-Womersley approximation to the incompressible boundary-layer equation is developed. It is based on an iterative process and the Choleski method of solving a simultaneous set of linear algebraic equations. The programming of this method for an automatic computer is discussed. Tables of a solution of the boundary-layer equation in a region upstream of the separation point are given. In the upstream neighbourhood of separation this solution is compared with Goldstein's asymptotic solution and the agreement is good.

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Numerical Study of Boundary Layers With Reverse Wedge Flows Over a Semi-Infinite Flat Plate

Journal of Applied Mechanics ◽

10.1115/1.3173763 ◽

2009 ◽

Vol 77 (2) ◽

Cited By ~ 4

Author(s):

R. Ahmad ◽

K. Naeem ◽

Waqar Ahmed Khan

Keyword(s):

Boundary Layer ◽

Flat Plate ◽

Numerical Study ◽

Boundary Layer Equation ◽

Wedge Angle ◽

Adverse Pressure Gradient ◽

Problem Solution ◽

Weighted Residual Method ◽

Boundary Layer Problem ◽

Layer Problem

This paper presents the classical approximation scheme to investigate the velocity profile associated with the Falkner–Skan boundary-layer problem. Solution of the boundary-layer equation is obtained for a model problem in which the flow field contains a substantial region of strongly reversed flow. The problem investigates the flow of a viscous liquid past a semi-infinite flat plate against an adverse pressure gradient. Optimized results for the dimensionless velocity profiles of reverse wedge flow are presented graphically for different values of wedge angle parameter β taken from 0≤β≤2.5. Weighted residual method (WRM) is used for determining the solution of nonlinear boundary-layer problem. Finally, for β=0 the results of WRM are compared with the results of homotopy perturbation method.

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An SL(3,) shooting method for solving the Falkner–Skan boundary layer equation

International Journal of Non-Linear Mechanics ◽

10.1016/j.ijnonlinmec.2012.09.010 ◽

2013 ◽

Vol 49 ◽

pp. 145-151 ◽

Cited By ~ 6

Author(s):

Chein-Shan Liu

Keyword(s):

Boundary Layer ◽

Shooting Method ◽

Boundary Layer Equation

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An Initial Value Method for the Solution of a Class of Nonlinear Equations in Fluid Mechanics

Journal of Basic Engineering ◽

10.1115/1.3425046 ◽

1970 ◽

Vol 92 (3) ◽

pp. 503-508 ◽

Cited By ~ 15

Author(s):

T. Y. Na

Keyword(s):

Differential Equation ◽

Boundary Layer ◽

Porous Medium ◽

Fluid Mechanics ◽

Boundary Layer Equation ◽

Physical Parameters ◽

Point Boundary ◽

Trial And Error ◽

Initial Value ◽

Blasius Boundary Layer

An initial value method is introduced in this paper for the solution of a class of nonlinear two-point boundary value problems. The method can be applied to the class of equations where certain physical parameters appear either in the differential equation or in the boundary conditions or both. Application of this method to two problems in Fluid Mechanics, namely, Blasius’ boundary layer equation with suction (or blowing) and/or slip and the unsteady flow of a gas through a porous medium, are presented as illustrations of this method. The trial-and-error process usually required for the solution of such equations is eliminated.

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Numerical Method in Two Dimensional Boundary Layer Theory for Incompressible Viscous Fluid

Rajshahi University Journal of Science ◽

10.3329/rujs.v38i0.16549 ◽

2013 ◽

Vol 38 ◽

pp. 61-73

Author(s):

MA Haque

Keyword(s):

Boundary Layer ◽

Viscous Fluid ◽

Initial Value Problem ◽

Shooting Method ◽

Boundary Layer Equation ◽

Incompressible Viscous Fluid ◽

Initial Value ◽

Box Scheme ◽

Runge Kutta Method ◽

Dimensional Boundary

In this paper laminar flow of incompressible viscous fluid has been considered. Here two numerical methods for solving boundary layer equation have been discussed; (i) Keller Box scheme, (ii) Shooting Method. In Shooting Method, the boundary value problem has been converted into an equivalent initial value problem. Finally the Runge-Kutta method is used to solve the initial value problem. DOI: http://dx.doi.org/10.3329/rujs.v38i0.16549 Rajshahi University J. of Sci. 38, 61-73 (2010)

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