# The objective of this problem is to develop thermalmodels

## Problem 5.40 Chapter 5

Fundamentals of Heat and Mass Transfer | 0th Edition

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Problem 5.40

The objective of this problem is to develop thermalmodels for estimating the steady-state temperature andthe transient temperature history of the electrical trans-former shown.The external transformer geometry is approximatelycubical, with a length of 32 mm to a side. The com-bined mass of the iron and copper in the transformer is0.28 kg, and its weighted-average specific heat is400 J/kg?K. The transformer dissipates 4.0 W and isoperating in ambient air at T??20C, with a convec-tion coefficient of 10 W/m2?K. List and justify theassumptions made in your analysis, and discuss limita-tions of the models.(a) Beginning with a properly defined control volume,develop a model for estimating the steady-statetemperature of the transformer, T(?). EvaluateT(?) for the prescribed operating conditions.(b) Develop a model for estimating the thermalresponse (temperature history) of the transformer ifit is initially at a temperature of Ti?T?and poweris suddenly applied. Determine the time requiredfor the transformer to come within 5C of itssteady-state operating temperature.

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##### ISBN: 9780470501979

This textbook survival guide was created for the textbook: Fundamentals of Heat and Mass Transfer, edition: Theodore L. Bergman. Since the solution to 5.40 from 5 chapter was answered, more than 231 students have viewed the full step-by-step answer. The answer to “The objective of this problem is to develop thermalmodels for estimating the steady-state temperature andthe transient temperature history of the electrical trans-former shown.The external transformer geometry is approximatelycubical, with a length of 32 mm to a side. The com-bined mass of the iron and copper in the transformer is0.28 kg, and its weighted-average specific heat is400 J/kg?K. The transformer dissipates 4.0 W and isoperating in ambient air at T??20C, with a convec-tion coefficient of 10 W/m2?K. List and justify theassumptions made in your analysis, and discuss limita-tions of the models.(a) Beginning with a properly defined control volume,develop a model for estimating the steady-statetemperature of the transformer, T(?). EvaluateT(?) for the prescribed operating conditions.(b) Develop a model for estimating the thermalresponse (temperature history) of the transformer ifit is initially at a temperature of Ti?T?and poweris suddenly applied. Determine the time requiredfor the transformer to come within 5C of itssteady-state operating temperature.” is broken down into a number of easy to follow steps, and 150 words. This full solution covers the following key subjects: transformer, temperature, estimating, develop, state. This expansive textbook survival guide covers 14 chapters, and 1569 solutions. Fundamentals of Heat and Mass Transfer was written by Sieva Kozinsky and is associated to the ISBN: 9780470501979. The full step-by-step solution to problem: 5.40 from chapter: 5 was answered by Sieva Kozinsky, our top Engineering and Tech solution expert on 09/04/17, 10:17PM.

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