ME200 - Lecture 25

ME200 - Lecture 25 - 10/26/2010 1 The Clausius Inequality...

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Unformatted text preview: 10/26/2010 1 The Clausius Inequality and the Definition of Entropy ME 200 Thermodynamics I The Cummins project will develop and demonstrate a highly efficient and clean diesel engine, an advanced waste heat recovery Purdue University , Dr. Tim Pourpoint timothee@purdue.edu Lecture 25 October 27 th , 2010 advanced waste heat recovery system , an aerodynamic Peterbilt tractor and trailer combination, and a fuel cell auxiliary power unit to reduce engine idling. Lecture Outline Last Lecture: Second Law of Thermodynamics Finish Example 23.1 More on Carnot Cycle Reversed Carnot Cycle (Examples More on Carnot Cycle, Reversed Carnot Cycle (Examples) Detailed Analysis of Carnot Cycle and Principles This Lecture: Clausius Inequality and the Definition of Entropy Increase of Entropy Principle ME 200 ME 200 2 10/26/2010 2 Clausius Inequality Reversible Heat Engine Reversible Heat Pump ME 200 ME 200 3 H C H C H C H C Q Q Q Q T T T T Reversible and Irreversible Heat Engines T H Q Q H Q H Q H Q CR Q CI W CR = Q H Q CR W CI = Q H Q CI ME 200 ME 200 4 T C Consider two heat engines, one reversible and one irreversible, operating between the same thermal reservoirs and receiving the same heat input Q H from the high temperature reservoir. 10/26/2010 3 Now what is the value for the Clausius integral for a cycle with irreversibilities? Reversible and Irreversible Heat Engines For the irreversible cycle, the thermal Assume: heat input from the high temperature H C I H C R I I R CI CR H H H Q Q Q Q W Q Q Q Q Q For the irreversible cycle, more heat must be rejected to the cold reservoir and the Clausiu integral will be negative...
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ME200 - Lecture 25 - 10/26/2010 1 The Clausius Inequality...

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