文档介绍：Numerical Analysis for Engineering
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Boundary Layer Along a Flat Plate
Luis Coreano
MEAE 4960
April 10, 2001
Table Of Content
1. List of Symbol 1
2. Introduction 2
3. Problem Description 3
4. Formulation 4
5. Numerical Approaches 7
6. Results 9
7. Error Analysis/Discussion 10
8. Conclusion 12
9. References 13
10. Appendix A: Results Table 14
11. Appendix B: Algorithm to Solve Initial Value Problem 16
List of symbols
1. Dimensionless Coordinated
Kinematics Viscosity
Free stream velocity
Boundary Layer Thickness
Longitudinal Velocity
Transverse Velocity
Axial Distance from leading edge
Vertical Distance from wall
Stream Function
1
Introduction
External Aerodynamics is the study of the disturbing generated by an obstacle in a stream of air and of the forces between the air stream and the obstacle, which result from this disturbance. To solve the mystery of external aerodynamics a person had to step forward and that person was Prandtl with his work on Boundary Layer Theory from 1904 and forward. So that, at the beginning of the 20
th century a person of name H. Blasius gave rise to one of the original, and now classical solutions of the equation of Prandtl's Boundary Layer Theory.
This project captures the solution of the boundary layer equations by applying it to the flow along a very thin flat plate at zero incidence. Is important to know that historically this was the first example illustrating the application of the Prandtl's boundary layer theory, such was discussed by H. Blasius back in 1908 in his doctor's thesis.
2
Problem Description
This project captures the numerical solution of the boundary layer equations by applying it to the flow along a very thin flat plate at zero incidence. This involved solving the ordinary differential equation known as Blasius Equation ( ) by applying numerical methods such as Runge-Kutta Method for Systems of Differential Equations (RKMSDE), and Runge-Kutta-Fehlberg (R