Starting with the integral form of energy conservation [Equations (2.95 and 7.43)], derive an expression for energy conservation in a steady, inviscid, nonchemically reacting flow without body forces along a streamline that passes through a compressor or turbine. Use \(W_{\text {shaft }}\) to represent the work done on the system by the compressor or turbine per unit mass of flow in \(J / \mathrm{kg}\). Your result should be analogous to Equation (7.53) or (7.54) except that the total enthalpy will not be constant.

2.95:

7.43:

7.53:

7.54:

Transcribed Image Text:

ff qp dv + Q viscous - ff pv ds + ff p(f. V) dV + Wiscous V.dS = (+) + (+) v-as fp S 2