## Related questions with answers

An instrumentation package has a spherical outer surface of diameter D=100 mm and emissivity $\varepsilon=0.25$. The package is placed in a large space simulation chamber whose walls are maintained at 77 K. If operation of the electronic components is restricted to the temperature range $40 \leq T \leq 85^{\circ} \mathrm{C}$, what is the range of acceptable power dissipation for the package? Display your results graphically, showing also the effect of variations in the emissivity by considering values of 0.20 and 0.30.

Solutions

Verified$\rule{430pt}{1pt}$

$\text{\textcolor{#4257b2}{\textbf{Given}}}$

-An instrumentation package has a spherical surface

-The diameter $D=100\times 10^{-3}\ \mathrm{m}$

-The emissivity $\epsilon =0.25$

-The environment temperature $T_{\infty}=77\text{\textdegree} \ \mathrm{C}$

(a)-The surface temperature $T_{s-1}=40\text{\textdegree} \ \mathrm{C}$

(b)-The surface temperature $T_{s-2}=85\text{\textdegree} \ \mathrm{C}$

$\text{\textcolor{#4257b2}{\textbf{Required}}}$

-The range of power

$\text{\textcolor{#4257b2}{\textbf{Assumption}}}$

-Steady state condition

-One dimension heat flow

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