THE EFFECT OF ATMOSPHERE DEPLETION IN SPHERICAL DIFFUSION FLAMES

1956 ◽  
Vol 34 (1) ◽  
pp. 54-64 ◽  
Author(s):  
R. J. Cvetanović
Keyword(s):  
Differential Equation ◽  
Linear Differential Equation ◽  
Diffusion Flames ◽  
Second Order ◽  
Direct Evaluation ◽  
Exponential Solution ◽  
Non Linear ◽  
Linear Differential ◽  
Spherical Diffusion

Solutions of the second order non-linear differential equation of spherical diffusion flames have been obtained for the range of conditions of experimental interest. Deviations from the simplified exponential solution are presented in a form suitable for their direct evaluation. Some recent contributions to the theory of the method are discussed.

4. On the Linear Differential Equation of the Second Order

1878 ◽  
Vol 9 ◽  
pp. 93-98 ◽  
Author(s):  
Tait
Keyword(s):  
Differential Equation ◽  
Linear Differential Equation ◽  
Linear Equation ◽  
Arbitrary Constant ◽  
Second Order ◽  
General Linear ◽  
First Order ◽  
Non Linear Equation ◽  
Non Linear ◽  
Linear Differential

This paper contains the substance of investigations made for the most part many years ago, but recalled to me during last summer by a question started by Sir W. Thomson, connected with Laplace's theory of the tides.A comparison is instituted between the results of various processes employed to reduce the general linear differential equation of the second order to a non-linear equation of the first order. The relation between these equations seems to be most easily shown by the following obvious process, which I lit upon while seeking to integrate the reduced equation by finding how the arbitrary constant ought to be involved in its integral.

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