IRP=8 Verma function

IRP = 8 Functions of Verma et al. (1985)

\begin{align} & {{k}_{rl}}\quad =\quad {{{\hat{S}}}^{3}} \\ & {{k}_{rg}}\quad =\quad A\ +\ B\,\hat{S}\ +\ C\,{{{\hat{S}}}^{2}} \\ & \text{where }\hat{S}\quad =\quad {\left( {{S}_{l}}\ -\ {{S}_{lr}} \right)}/{\left( {{S}_{ls}}\ -\ {{S}_{lr}} \right)}\;\text{ } \\ \end{align}

Parameters as measured by Verma et al. (1985) for steam-water flow in an unconsolidated sand:

Slr = RP(1) = 0.2

Sls = RP(2) = 0.895

A = RP(3) = 1.259

B = RP(4) = -1.7615

C = RP(5) = 0.5089

\begin{align} & {{k}_{rl}}\quad =\quad {{{\hat{S}}}^{3}} \\ & {{k}_{rg}}\quad =\quad A\ +\ B\,\hat{S}\ +\ C\,{{{\hat{S}}}^{2}} \\ & \text{where }\hat{S}\quad =\quad {\left( {{S}_{l}}\ -\ {{S}_{lr}} \right)}/{\left( {{S}_{ls}}\ -\ {{S}_{lr}} \right)}\;\text{ } \\ \end{align}