1 am grateful to Iskender G6kalp for the very pertinent points made in the Comment, and would like to respond to them as follows.
- Concerning the factor beta, it should be noted that though it is explicitly independent of fluidmechanical effects in the setting up of the governing equations, the expressions subsequently derived do show a strong dependence of flame shape and size on fluid-mechanical and combustion properties in combination, which is not inconsistent with G6kalp's observation. 2. With regard to the factor alpha, some further comments on its significance may be helpful. Flames are wrinkled by velocity gradients, while dissipation is also the direct result of velocity gradients. There are therefore good grounds for seeking a relationship between wrinkling and turbulence that could be independent of concepts of eddies and based solely on the bulk property of dissipation. The key property in such a relationship is the root mean square velocity gradient (or rate of strain), G. Alpha is equal to vG/k or (ev)°.5/k. In the paper the intention was not to equate alpha to a turbulent Reynolds number, but merely to indicate its dimensional similarity. Difficulties certainly emerge when turbulent Reynolds numbers are invoked quantitatively. For example, if the empirical expression k3/2/ L, which employs an integral scale, L, is substituted for e, one obtains the relationship c~ oc Re~ -0.5, as demonstrated by G6kalp. On the other hand if another well-used expression,