Blasius Problem

2021 ◽  
pp. 203-209
Author(s):  
Vasile Marinca ◽  
Nicolae Herisanu ◽  
Bogdan Marinca
Keyword(s):  
Blasius Problem

scholarly journals On the Use of Recursive Evaluation of Derivatives and Padé Approximation to Solve the Blasius Problem

2016 ◽  
Vol 2016 ◽  
pp. 1-5
Author(s):  
Asai Asaithambi
Keyword(s):  
Differential Equation ◽  
Computational Effort ◽  
Navier Stokes ◽  
Series Solutions ◽  
Third Order ◽  
Navier Stokes Equation ◽  
Order Problem ◽  
Algorithmic Differentiation ◽  
Blasius Problem ◽  
Recursive Evaluation

The Blasius problem is one of the well-known problems in fluid mechanics in the study of boundary layers. It is described by a third-order ordinary differential equation derived from the Navier-Stokes equation by a similarity transformation. Crocco and Wang independently transformed this third-order problem further into a second-order differential equation. Classical series solutions and their Padé approximants have been computed. These solutions however require extensive algebraic manipulations and significant computational effort. In this paper, we present a computational approach using algorithmic differentiation to obtain these series solutions. Our work produces results superior to those reported previously. Additionally, using increased precision in our calculations, we have been able to extend the usefulness of the method beyond limits where previous methods have failed.

scholarly journals On the shear stress function and the critical value of the Blasius problem

2012 ◽  
Vol 2012 (1) ◽  
Author(s):  
GC Yang ◽  
YZ Xu ◽  
LF Dang
Keyword(s):  
Shear Stress ◽  
Stress Function ◽  
Critical Value ◽  
Blasius Problem ◽  
Shear Stress Function

Solution for Celebrated Blasius Problem Using Homotopy Perturbation Method

2020 ◽  
Vol 12 (2) ◽  
pp. 284-287
Author(s):  
Monika Rani ◽  
Vikramjeet Singh ◽  
Rakesh Goyal
Keyword(s):  
Differential Equation ◽  
Approximate Solution ◽  
Perturbation Method ◽  
High Speed ◽  
Homotopy Perturbation Method ◽  
Initial Slope ◽  
Moving Wall ◽  
Homotopy Perturbation ◽  
Blasius Problem ◽  
Blasius Equation

In this manuscript, we have analyzed Celebrated Blasius boundary problem with moving wall or high speed 2D laminar viscous flow over gasifying flat plate. To find the way out of this nonlinear differential equation, a version of semi-analytical homotopy perturbation method has been applied. It has been observed that the precision of the solution would be achieved with increasing approximations. On comparison with literature, our solution has been proven highly accurate and valid with faster rate of convergence. It has been revealed that the second order approximate solution of Blasius equation in terms of initial slope is obtained as 0.33315 reducing the error by 0.32%.

scholarly journals A solution of the Blasius problem

2014 ◽  
Vol 54 (6) ◽  
pp. 1022-1022
Author(s):  
V. P. Varin
Keyword(s):  
Blasius Problem

scholarly journals On the analytic solutions of the nonhomogeneous Blasius problem

2005 ◽  
Vol 182 (2) ◽  
pp. 362-371 ◽  
Author(s):  
Fathi M. Allan ◽  
Muhammed I. Syam
Keyword(s):  
Analytic Solutions ◽  
Blasius Problem

Numerical transformation methods: Blasius problem and its variants

2009 ◽  
Vol 215 (4) ◽  
pp. 1513-1521 ◽  
Author(s):  
Riccardo Fazio
Keyword(s):  
Blasius Problem ◽  
Numerical Transformation ◽  
Transformation Methods

Improved Numerical Solution of the Blasius Problem With Three-Point Boundary Conditions

1961 ◽  
Vol 28 (11) ◽  
pp. 911-912 ◽  
Author(s):  
William J. Christian
Keyword(s):  
Boundary Conditions ◽  
Numerical Solution ◽  
Point Boundary ◽  
Blasius Problem
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