Pulsational stability of stars in thermal imbalance. IV - Direct solution of differential equation

1974 ◽  
Vol 194 ◽  
pp. 663 ◽  
Author(s):  
M. L. Aizenman ◽  
J. P. Cox
Keyword(s):  
Differential Equation ◽  
Direct Solution ◽  
Stability Of Stars ◽  
Thermal Imbalance ◽  
Pulsational Stability

Pulsational Stability of Stars in Thermal Imbalance

1973 ◽  
Vol 182 ◽  
pp. 885 ◽  
Author(s):  
J. P. Cox ◽  
C. J. Hansen ◽  
William R. Davey
Keyword(s):  
Stability Of Stars ◽  
Thermal Imbalance ◽  
Pulsational Stability

A New Method for the Solution of a Differential Equation with Two-Point Boundary Conditions Applied to the Compressible Boundary Layer on a Yawed Infinite Wing

1956 ◽  
Vol 60 (552) ◽  
pp. 808-809
Author(s):  
L. F. Crabtree ◽  
E.R. Woollett
Keyword(s):  
Differential Equation ◽  
Boundary Layer ◽  
Exact Solution ◽  
Stagnation Point ◽  
Close Agreement ◽  
Equations Of Motion ◽  
New Method ◽  
Compressible Boundary Layer ◽  
Point Boundary ◽  
Direct Solution

The compressible laminar boundary layer on a yawed infinite wing is considered in Ref. 1, where it is shown that the problem may be solved by a direct solution of the linearised equations of motion under certain assumptions. As an example of this procedure the boundary layer near a stagnation point was calculated. Tinkler has published solutions of the exact equations for the general Falkner-Skan case (Ref. 1) obtained on the M.I.T. differential analyser for several values of the parameter involved. It has been found that the numerical results of Ref. 1 were in error and the corrected results obtained by a new method are tabulated below. Tinkler's exact solution of the stagnation point flow for ω = 0·10 is also given for comparison, and it will be seen that there is close agreement

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