A one-dimensional plane wall of thickness (2 L=) (80 mathrm{~mm}) experiences uniform thermal energy generation of (dot{q}=1000
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A one-dimensional plane wall of thickness \(2 L=\) \(80 \mathrm{~mm}\) experiences uniform thermal energy generation of \(\dot{q}=1000 \mathrm{~W} / \mathrm{m}^{3}\) and is convectively cooled at
\(x= \pm 40 \mathrm{~mm}\) by an ambient fluid characterized by \(T_{\infty}=\) \(30^{\circ} \mathrm{C}\). If the steady-state temperature distribution within the wall is \(T(x)=a\left(L^{2}-x^{2}\right)+b\) where \(a=15^{\circ} \mathrm{C} / \mathrm{m}^{2}\) and \(b=40^{\circ} \mathrm{C}\), what is the thermal conductivity of the wall? What is the value of the convection heat transfer coefficient, \(h\) ?
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Related Book For
Fundamentals Of Heat And Mass Transfer
ISBN: 9781119220442
8th Edition
Authors: Theodore L. Bergman, Adrienne S. Lavine
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