To determine The rate of entropy production in system. The cause of entropy production in system. Explanation The following figure shows the energy transfer schematic for silicon chip. Figure-(1) Write the expression for the energy rate balance. d E d t = Q ˙ − W ˙ (I) Here, total energy is E , rate of heat transfer is Q ˙ and rate of work transfer is W ˙ . For steady state, the rate of change of total energy is zero. Substitute 0 for d E d t in Equation (I). 0 = Q ˙ − W ˙ Q ˙ = W ˙ (II) Write the expression for Newton’s law of cooling. Q ˙ = − [ h A ( T b − T f ) ] (III) Here, coefficient of convective heat transfer is h , surface area of convection is A , base temperature is T b and convective fluid temperature is T f . Substitute − [ h A ( T b − T f ) ] for Q ˙ in Equation (II). − [ h A ( T b − T f ) ] = W ˙ (IV) Write expression for the entropy rate balance in a closed system. d S d t = Q ˙ T b + σ ˙ (V) Here, base temperature is T b , rate of entropy generation is σ ˙ and entropy is S . For steady state heat transfer rate of change of entropy with respect to time will be zero. Substitute 0 for d S d t in Equation (V). 0 = Q ˙ T b + σ ˙ σ ˙ = − Q ˙ T b (VI) Conclusion: Substitute − 0.225 W for W ˙ , 25 mm 2 for A , 150 W / m 2 ⋅ K for h and 20 ° C for T f in Equation (IV)

Fundamentals of Engineering Thermodynamics

8th Edition

ISBN: 9781118412930

Author: Michael J. Moran, Howard N. Shapiro, Daisie D. Boettner, Margaret B. Bailey

Publisher: WILEY

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In physics, entropy means the amount of disorder or the degree of randomness associated with a thermodynamic system. The system is not self-organized when the entropy of the system is high. For instance, when a system is at an elevated temperature, its m…

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Chapter 6.13, Problem 55P

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The rate of entropy production in system.

The cause of entropy production in system.

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Chapter 6.13, Problem 54P

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