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THERMODYNAMICS LAB Mass and Energy Analysis of Control Volumes Polytropic Processes. ENTC - 370. Polytropic Process(1). During expansion and compression processes of gases, the following relationship holds:. The coefficient n depends on the process. Polytropic Process(2).
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THERMODYNAMICS LABMass and Energy Analysis of Control VolumesPolytropic Processes ENTC - 370 PROF. ALVARADO
Polytropic Process(1) • During expansion and compression processes of gases, the following relationship holds: • The coefficient n depends on the process.
Polytropic Process(2) • During expansion and compression processes of gases, the following relationship holds: • The coefficient n depends on the process.
Polytropic Process • The coefficient n depends on the process: • n=0 , Isobaric process (constant pressure) 5-1 in graph. • n=∞, Isometric process (constant volume) 2-6 in graph. • n=1, Isothermal process (constant temperature) 4-8 in graph. • n=k, Adiabatic process (no heat transfer) 3-7 in the graph. k=cp/cv=1.4 for air. Graph from www.taftan.com PROF. ALVARADO
Polytropic Process • Boundary work: PROF. ALVARADO
Problem 1: Polytropic Process (Excel) • Pressurized air inside a pressure vessel is expanded in a polytropic process using three discharge valves with small, medium and large orifices. The measured temperature and pressure for the process are posted. • Use the ideal gas law, Pv = RT, to compute v for each corresponding P. Use SI units: m3/kg for v, kPa for P and ºK for T. • Plot ln(P) versus ln(v) and find n: • For each run, on a separate graph, plot ln(P) [on the ordinate (vertical) axis] versus ln(v) [on the abscissa (horizontal) axis]. • Determine the polytropic exponent n by using a linear model of each run. Also find the correlation coefficient R2. • Discuss the meaning of your n values, that is, how do the n values compare with n values for other, known processes (see previous slide)? PROF. ALVARADO
Turbines and Compressors • Analysis for steady state systems, Energy balance: PROF. ALVARADO
Problem 2: Steam Turbine (EES) Steam flows steadily (8 kg/sec, mass flow rate) through an adiabatic turbine. The inlet conditions of the steam are 10 MPa, 350 ºC, and 65 m/sec. The exit conditions are 85% quality, and 40 m/sec. The exit pressure varies from 10 kPa to 200 kPa. Determine: -Change in Kinetic Energy (Dke) -Turbine inlet area -Plot the power output against the outlet pressure P1,T1,V1 P2,x2,V2 PROF. ALVARADO
Problem 2: Steam Turbine (EES) PROF. ALVARADO
Individual Lab Report • Introduction: Briefly explain the objectives of the assigned tasks • Data: Present data in tabulated form (use Excel) • Findings or Results: Include plots (EES and Excel) for each data set and the corresponding correlation equations and correlation values • Conclusions: Comment on the tasks performed and provide concluding remarks PROF. ALVARADO