Net Flame Stretch K_t Calculation

The methods developed in [1] are used. is tabulated with two parameters:

(7)

is the turbulence intensity obtained from the following equation:

(8)

is the integral length scale defined as:

(9)

where and are the turbulent viscosity coefficient and von Karman constant of the K-Epsilon model, respectively.

is the thermal laminar flame thickness calculated by:

(10)

In this expression, is the laminar Prandtl number of the burnt gas and assumed to be 0.9. is the molecular viscosity of the burnt gas calculated from Sutherland's law:

(11)

Here, and are constants with the values of 1.457e-6 and 110, respectively. is the burnt gas temperature. has the following form:

(12)

and are the flame production and quench due to the stretch. These follow the empirical correlation in [1]. B is a model parameter.