✦ LIBER ✦

The limits of the eigenvalue of the laminar flame equation in terms of the reaction rate-temperature centroid

✍ Scribed by J. Adler

Publisher: Elsevier Science
Year: 1959
Tongue: English
Weight: 325 KB
Volume: 3
Category: Article
ISSN: 0010-2180
DOI: 10.1016/0010-2180(59)90040-9

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✦ Synopsis

Tile differential equation describing one-dimensional laminar flame propagation for temperature explicit reaction-rate fimctions is considered. It is shown that for a fixed centroid of the reaction-rate function, the burning velocity must lie within certain limits, which are independent of the type of reaction considered. IN a recent paper, D. B. SPALDING 1 has derived a fitted equation which relates the burning velocity of a plane laminar flame to the centroid of the temperature-dependent reaction-rate function. The differential equation which defines the gradient of the dimensionless temperature, P, for a given reaction rate function ~ (r) is PdP/dr-P= -)~ (r) .... [1]

where A. is an eigenvalue, proportional to the inverse square of the burning velocity, determined by the boundary conditions:

~'~0 ~ P=0,

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