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05thermo_summ - Summary of Thermo First Law first law for...

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Summary of Thermo from: first_law_rev_2005.mcd, second_law_rev_2005.mcd, First Law availability.mcd first law for cycle 1 dQ = 1 dW (5.2) ref: van Wylen & Sonntag (eqn #s) Woud (W nn.nn) first law for system - change of state Q 1_2 is the heat transferred TO system Q 1_2 E 2 E 1 + W 1_2 E 1 E 2 are intial and final values of energy of system and ... (5.5) = W 1_2 is work done BY the system (5.4) δ Q dE = + δ W dU + dKE + dPE + δ W = Closed System d U (W 2.3) Q_dot W_dot dU δ Q − δ W m_dot e = m_dot i = 0 = = dt d Q d U d + d d KE t + d PE + d W d E + d W first law as a rate equation (5.31 and 5.32) = = d d dt dt d p V t t t t H U = + enthalpy defined - is first law as a rate equation - for a control volume a property (5.12) h = u + p v g z m_dot i g z i d n n 2 m_dot e h 2 V i V e d d d d + + (5.45) Q c_v h i E W c_v + + + + 2 + = c_v e e 2 d t t t Woud assuming energy and ... E U E kin E pot E kin = E pot = 0 E = U + + = 2 2 N.B. dot => rate not d( )/dt V i V e d U Q_dot W_dot m_dot i h i m_dot e h + + + + + g z i steady state, steady flow process ... = g z m_dot i = m_dot m_dot = flow_rate (5.46) e d g z c_v e e 2 2 dt W (2.1) open stationary n n n n m_dot i g z i m_dot c_v n n steady state steady flow ... - single flow stream
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