Answered: Mass in Control volume Mass out

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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Question

Define the energy content of a control volume can be changed by mass flow as well as by heat and work interactions.

Expert Solution

Change in total energy of a system:

Consider a control volume exchanging heat $(Q)$ as well as work $(W)$ with the surroundings. Also certain mass enters through one point of a system and exits through another point of the system. If the total mass energy entering and exiting the control volume is ${({\dot{E}}_{m})}_{i n}$ and ${({\dot{E}}_{m})}_{o u t}$ respectively, then according to the conservation of energy, the change in total energy of a system can be given as,

$Q - W + [{({\dot{E}}_{m})}_{i n} - {({\dot{E}}_{m})}_{o u t}] = Δ E_{C V}$

So, the change in total energy of a control volume depends upon the mass flow, heat and work interactions.

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