Energy Transfer

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• These equations are property relations and as suchare independent of the type of processes. They arevalid for any substance undergoing any process.• C v is related to the changes in internal energy and C pto the changes in enthalpy. C v is a measure of thevariation of internal energy of a substance withtemperature, and C p is a measure of the variation ofenthalpy of a substance with temperature.• Since u and h depend only on temperature for anideal gas, the specific heats C v and C p also depend ontemperature only. Therefore, at a given temperature,u, h, C v and C p of an ideal gas will have fixed valuesregardless of the specific volume or pressure. Forideal gases, the partial derivatives can bereplaced by ordinary derivatives.Energy Transfer 38© Copyright 2005 Prof. Arun S. Mujumdar.
du = Cv(T) dT andHence,andudh = Cp (T) dT2 u2 u1 Cv(T)dT(kJ / kg)1h2h2 h1 Cp(T)dT (kJ / kg)1Energy Transfer 39© Copyright 2005 Prof. Arun S. Mujumdar.
Page 1: ME2121 Engineering ThermodynamicsEN
Page 5 and 6: Heat and work are energy transfer m
Page 7 and 8: ENERGY TRANSFER BY WORK (Cont’d)
Page 9 and 10: • Path functions have inexact dif
Page 11 and 12: MECHANICAL FORMS OF WORK (cont’d)
Page 13 and 14: MOVING BOUNDARY WORK (cont’d)•
Page 15 and 16: MOVING BOUNDARY WORK (cont’d)•
Page 17 and 18: Boundary Work during a Constant-Vol
Page 19 and 20: Boundary Work for a Constant-Pressu
Page 21 and 22: Isothermal Compression of anIdeal G
Page 23 and 24: Gravitational Work• Gravitational
Page 25 and 26: dsV ds VdtdtWa21F ds2 dV m(V dt
Page 27 and 28: Then the shaft work is given by:W s
Page 29 and 30: Non-mechanical Forms of Work• Som
Page 31 and 32: Energy Balance:The net change (incr
Page 33 and 34: whereUm(u2 u1 2KE m( V2V2PE mg (z
Page 35 and 36: First Law: Statement• Heat input
Page 37: • An expression for the specific
Page 41 and 42: The ideal gas specific heats of mon
Page 43 and 44: Conservation of Mass PrincipleSecti
Page 45 and 46: ExamplesFor incompressible fluid (n
Page 47 and 48: Total Energy of a Flowing Fluid•
Page 49 and 50: Closing Remarks - Chapter 3• This

Energy Transfer

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