In the present analysis, a semi-mechanistic maximum heat flux (qmhf) model has been developed for sub-cooled jet impingement cooling of the heated surface. The model for evaporative heat flux is based on the work of Katto's Model of Helmholtz instability theory of liquid thin film. While the convective heat transfer is derived from the model of bubble-induced turbulent heat transfer using integral analysis. Subsequently, the semi-mechanistic model of maximum heat flux is developed utilizing the assumption of infinite thermal conductivity of heated surface. In addition, experiments were performed on a heated vertical stainless steel foil of 0.15 mm thickness (SS-304) by circular horizontal impinging jets. Number of experimental parameters were studied including, initial surface temperature, nozzle to plate distance, flow rate, and effect of additives like surfactants and nanofluids. Finally, a generalized model for the maximum heat flux of sub-cooled jet is presented by incorporated different empirical parameters into the model using regression analysis with test data. Various modeling parameters are identified in the present investigation and comparisons of the present model with present tests data and previous findings are presented.