Hypersonic viscous flow near the stagnation streamline of a blunt body. ii - third-order boundary-layer theory and comparison with other methods

AIAA Journal ◽  
1964 ◽  
Vol 2 (11) ◽  
pp. 1898-1906 ◽  
Author(s):  
HSIAO C. KAO
Keyword(s):  
Boundary Layer ◽  
Viscous Flow ◽  
Blunt Body ◽  
Boundary Layer Theory ◽  
Third Order

scholarly journals An Improved Method of Turbulent Boundary Layer Theory to Solve Viscous Flow around Ship Stern

1982 ◽  
Vol 1982 (152) ◽  
pp. 44-54 ◽  
Author(s):  
Mitsuhisa Ikehata ◽  
Yutaka Nagase ◽  
Hajime Maruo
Keyword(s):  
Boundary Layer ◽  
Turbulent Boundary Layer ◽  
Viscous Flow ◽  
Boundary Layer Theory ◽  
Improved Method

INVERSE PROBLEMS OF BOUNDARY LAYER THEORY

2018 ◽  
Vol 49 (8) ◽  
pp. 793-807
Author(s):  
Vladimir Efimovich Kovalev
Keyword(s):  
Boundary Layer ◽  
Inverse Problems ◽  
Boundary Layer Theory

A new Reliable Numerical Algorithm Based on the First Kind of Bessel Functions to Solve Prandtl–Blasius Laminar Viscous Flow over a Semi-Infinite Flat Plate

2012 ◽  
Vol 67 (12) ◽  
pp. 665-673 ◽  
Author(s):  
Kourosh Parand ◽  
Mehran Nikarya ◽  
Jamal Amani Rad ◽  
Fatemeh Baharifard
Keyword(s):  
Viscous Flow ◽  
Flat Plate ◽  
Numerical Algorithm ◽  
Bessel Functions ◽  
Nonlinear Ordinary Differential Equation ◽  
Finite Domain ◽  
Algebraic Equations ◽  
Infinite Domain ◽  
Third Order ◽  
Domain Truncation

In this paper, a new numerical algorithm is introduced to solve the Blasius equation, which is a third-order nonlinear ordinary differential equation arising in the problem of two-dimensional steady state laminar viscous flow over a semi-infinite flat plate. The proposed approach is based on the first kind of Bessel functions collocation method. The first kind of Bessel function is an infinite series, defined on ℝ and is convergent for any x ∊ℝ. In this work, we solve the problem on semi-infinite domain without any domain truncation, variable transformation basis functions or transformation of the domain of the problem to a finite domain. This method reduces the solution of a nonlinear problem to the solution of a system of nonlinear algebraic equations. To illustrate the reliability of this method, we compare the numerical results of the present method with some well-known results in order to show the applicability and efficiency of our method.

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