3.5 A heat pump is a closed system that operates steadily (or in cycles) while requiring the mechanical power input W, absorbing the heat transfer rate Qo from the ambient, and transferring heat at the rate QH to the inside of a house. In the steady state, the house temperature remains constant as the heating effect QH is balanced by the heat that leaks to the ambient through the house insulation. The heat pump operates irreversibly. Show that the power requirement of the heat pump is proportional to the rate of entropy generation in the entire region where the temperature is higher than the ambient temperature To. Which features and components are responsible for this entropy generation rate?

3.5 A heat pump is a closed system that operates steadily (or in cycles) while requiring the mechanical power input W, absorbing the heat transfer rate Qo from the ambient, and transferring heat at the rate QH to the inside of a house. In the steady state, the house temperature remains constant as the heating effect QH is balanced by the heat that leaks to the ambient through the house insulation. The heat pump operates irreversibly. Show that the power requirement of the heat pump is proportional to the rate of entropy generation in the entire region where the temperature is higher than the ambient temperature To. Which features and components are responsible for this entropy generation rate?

Elements Of Electromagnetics

7th Edition

ISBN:9780190698614

Author:Sadiku, Matthew N. O.

Publisher:Sadiku, Matthew N. O.

ChapterMA: Math Assessment

Section: Chapter Questions

Problem 1.1MA

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Concept explainers

Work and Heat Transfer

It is generally related to thermal engineering which tells about the use, creation, conversion and transfer of heat energy between the systems. It is also considered that to transfer heat from one source to another, transfer of masses is also required. There are various mechanisms by which, transfer of heat takes place i.e. thermal conduction, convection, radiation or by change of phase. All these mechanisms have their own specific features which sometimes occur simultaneously within the same system.

Question

3.5 A heat pump is a closed system that operates steadily (or in cycles) while
requiring the mechanical power input W, absorbing the heat transfer rate
2o from the ambient, and transferring heat at the rate Qu to the inside
of a house. In the steady state, the house temperature remains constant
as the heating effect QH is balanced by the heat that leaks to the ambient
through the house insulation. The heat pump operates irreversibly. Show
that the power requirement of the heat pump is proportional to the rate of
entropy generation in the entire region where the temperature is higher
than the ambient temperature To. Which features and components are
responsible for this entropy generation rate?

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