Review of heated surface discharge models applicable to rivers

A review of currently available mathematical models for heated water surface discharges yields four which seem especially applicable to river systems. Models selected include one jet model, by MOTZ and BENEDICT (1970), and three diffusion models: the Cornell version of the Brooks diffusion model, by SUNDARAM, et al (1969); and the two-dimensional and three-dimensional models presented by EDINGER and POLK (1969). In addition, the data from CARTER (1973) shows promise but has a very limited range of applicability. For each model generalized, nondimensional solutions are developed in graphical form with the quantities of surface area, longitudinal distance, and lateral distance shown plotted against temperature rise. Comparison of the models for a hypothetical case is carried out. Model comparisons generally show no great difference between two-dimensional and three-dimensional models. The jet model in the study gives results that are similar to those of the diffusion models. These inconsistencies do give directions for future work in these areas