A 5-mm-diameter spherical ball at 50°C is covered by a 1-mm-thick plastic insulation (k = 0.13 W/m·K). The ball is exposed to a medium at 15°C, with a combined convection and radiation heat transfer coefficient of 20 W/m2·K. Determine if the plastic insulation on the ball will help or hurt heat transfer from the ball.

Principles of Physics: A Calculus-Based Text
5th Edition
ISBN:9781133104261
Author:Raymond A. Serway, John W. Jewett
Publisher:Raymond A. Serway, John W. Jewett
Chapter16: Temperature And The Kinetic Theory Of Gases
Section: Chapter Questions
Problem 5CQ
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A 5-mm-diameter spherical ball at 50°C is covered
by a 1-mm-thick plastic insulation (k = 0.13 W/m·K). The
ball is exposed to a medium at 15°C, with a combined convection
and radiation heat transfer coefficient of 20 W/m2·K.
Determine if the plastic insulation on the ball will help or
hurt heat transfer from the ball.

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