Supercritical, uniform flow of water occurs in a 5.0-m-wide, rectangular, horizontal channel. the flow has a depth of 1.5 m and a flow rate of 45.0 m3/s. the water flow encounters a 0.25-m rise in the channel bottom. find the normal depth after the rise in the channel bottom. is the flow after the rise subcritical, critical, or supercritical? assume frictionless flow

Liquid flows at steady state at a rate of 2 lb/'s through a pump, which operates to raise the elevation of the liquid 100 ft from control volume inlet to exit. the liquid specific enthalpy at the inlet is 40.09 btu/lb and at the exit is 40.94 btub. the pump requires 3 btu/s of power to operate. if kinetic energy effects are negligible and gravitational acceleration is 32.174 tt/s, the heat transfer rate associated with this steady state process is most closely 1)-2,02 btu/s from the liquid to the surroundings 2)-3.98 btu/s from the surroundings to the liquid. 3)-4.96 btu/s from the surroundings to the liquid. 4)-1.04 btu/s from the liquid to the surroundings.