Large quantities of warm water discharges from steam electric power plants and various factories raise the temperatures of natural bodies of water. Aquatic organisms are affected directly by temperature increases but, in addition, they are affected indirectly through temperature effects on other forms of aquatic life which compriese their food, competitors, and predators. Furthermore, temperature increases diminish dissolved oxygen and make the sensitivity of aquatic life greater to toxic materials. Firstly, it is important to study how the warm water discharge disperses into a natural body of water, if we want to clarify undesirable temperature effects on aquatic life. The purpose of this study is to clarify the factors which influence the dispersion of warm water jets into a river or a channel and to investigate their qualitative influences on the dispersion of warm water. It is desirable to investigate the influences of all factors which appear in the dispersion problems of warm water in a natural river or a channel, but it is very difficult due to various restrictions. In this study attention will be limited to the influences of some important factors to be examined by using simplified rectangular open channels. In this paper, as the first step, the dimensionless groups which influenced the dispersion of warm water were clarified for the steady flow in case that warm water was discharged horizontaly into a rectangular open channel. The dimensionless groups which governed the dispersion of warm water were derived by rewriting the equations of continuity, momentum and energy, and the boundary conditions to dimensionless forms under several reasonable assumptions. They are Reynolds number (Re=U_mR/H), Froude number (Fr=U_m/√<gH>), densimetric Froude number (F_0=U_m/√<(ρ_c-ρ_h)gH/ρ_c)>, velocity ratio (u_m/U_m), heat loss from water surface (q_s^*), and five geometrical boundaries of the channel (W/H, B/H, C/H, D/H, l/H), where U_m=mean velocity in open channel,R=hydrauric mean depth, ν=kinematic viscosity, g=acceleration of gravity, H=depth of channel, ρ_c, ρ_h=densities of fluid at temperature of cold waterbody T_c and temperature of warm water T_h respectively, u_m=mean discharge velocity, W=width of channel, B, C, D=dimensions and depth of discharge channel and l=roughness of channel wall. Similar experiments were undertaken for four typical flows to make sure if the dispersion of warm water can be expressed correctly by the above ten dimensionless groups. In, general, however, it is difficult to make all dimensionless groups similar between corresponding experiments due to the temperature dependence of the physical properties of fluid and restrictions of apparatus. In this study the heat loss from water surface could not be equalized from the restrictions of apparatus. Therefore, the similar experiments based on nine dimensionless groups except the heat loss from water surface were undertaken, and influences of the difference of the heat loss on experimental results were discussed carefully. The temperature distributions, decreases of maximum temperatures and volumes within isoconcentration contours showed good agreement between corresponding experiments.. Consequently it was verified that the principle of similarity based on the above mentioned ten dimensionless groups held well, or that the flow of warm water into a rectangular open channel was well expressed by them.
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