THE STRUCTURE OF QUENCHED TRIPLE FLAMES NEAR COLD WALLS IN CONVECTIVEFLOWS

This article examines the structure near a cold wall of the flame-tip region of a triple or tribrachial flame. A transformation of coordinat es is employed that enables the energy equation to be integrated acros s the premixed flame (PF) are, subject to an upstream matching conditi on. An approximate matching condition is derived that enables a differ ential equation to be derived for the PF are shape. The solution of th is equation produces flame contours X(Z) which may be grafted onto an orthogonal chi-Z grid as the function chi = X(Z). Comparison between t he calculated and numerically computed flame shapes is favorable.