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Example39.1

Example39.1 - Prof.Naik 2011 Example At the beginning of...

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Example Prof.Naik © 2011 At the beginning of the compression of an air-standard At the beginning of the compression of an air standard Diesel cycle operating with a compression ratio of 18, the temperature is 300 K and the pressure is 0.1 MPa. The cut-off ratio for the cycle is 2. » Determine the temperature (K) and pressure (MPa) for each state in the cycle. » Compute the thermal efficiency. » What is the mean effective pressure (MPa)?

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Example (contd.) Prof.Naik © 2011 Given P = 0 1 MPa T = 300 K P 1 = 0.1 MPa, T 1 = 300 K r = V 1 /V 2 = 18 r c = V 3 /V 2 = 2 Find T 2 , P 2 T 3 , P 3 T 4 , P 4 (K and MPa) Thermal efficiency (%) MEP (MPa) Assumptions - Air ideal gas - Cylinder is closed system - Neglect change in KE and PE - All processes internally reversible - Isentropic compression and expansion
Example (contd.) Prof.Naik © 2011 Basic Equations Isentropic Compression (1-2) p P Isentropic Expansion (3 4) 2 2 1 1 r r v v v v 2 2 1 1 r r p P Isentropic Expansion (3-4) 4 4 3 3 r r v v v v 4 4 3 3 r r p P p P Constant Pressure Heat Addition (2-3) q

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Example39.1 - Prof.Naik 2011 Example At the beginning of...

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