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A one-dimensional plane wall of thickness [tex]2L = 100 \, \text{mm}[/tex] experiences uniform thermal energy generation of [tex]\dot{q} = 1000 \, \text{W/m}^3[/tex] and is convectively cooled at [tex]x = \pm 50 \, \text{mm}[/tex] by an ambient fluid characterized by [tex]T_{\infty} = 20^\circ \text{C}[/tex]. If the steady-state temperature distribution within the wall is [tex]T(x) = a(L^2 - x^2) + b[/tex] where [tex]a = 10^\circ \text{C/m}^2[/tex] and [tex]b = 30^\circ \text{C}[/tex], what is the thermal conductivity of the wall? What is the value of the convection heat transfer coefficient, [tex]h[/tex]?

Answer :

Answer:

A) Thermal conductivity of wall = 50 W/m.c

B) value of the convection heat transfer coefficient, h = 5 W/m².C

Explanation:

I've attached all explanations

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Answer:

note:

solution is attached in word form due to error in mathematical equation. furthermore i also attach Screenshot of solution in word due to different version of MS Office please find the attachment