According to test data, a new type of engine takes in streams of water at 400 de

Question

According to test data, a new type of engine takes in streams of water at 400 degrees F, 40 psia and 200 degrees F, 40 psia. The mass flow rate of the higher temperature stream is twice that of the other. A single stream exits at 40 psia with mass flow rate of 90 lbm/min. there is no significant heat transfer between the engine and its surroundings, and kinetic and potential energy effects are negligible. for operation at steady state, determine the maximum theoretical rate that power can be developed, in horsepower.

Explanation / Answer

let (dm/dt) be the mass flow rate

the power is

P = (dm/dt) x v x S

where v is velocity of water and S is distance

Also,the pressure is

P = (1/2)pv^2

or v = (2P/p)^1/2

where p = 1000 kg/m^3

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