## Related questions with answers

The heater wire of Example 2-7 is submerged in a fluid maintained at $93^{\circ} \mathrm{C}$. The convection heat-transfer coefficient is $5.7 \mathrm{~kW} / \mathrm{m}^2 \cdot{ }^{\circ} \mathrm{C}$. Calculate the center temperature of the wire.

Solution

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

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

-The diameter of the stainless steel wire $D=3.2\times 10^{-3}\ \mathrm{m}$

-The length of the wire $L=30\times 10^{-2}\ \mathrm{m}$

-The voltage which impressed on the wire $V=10\ \mathrm{v}$

-The resistivity of the wire $\rho =70\times 10^{-6}\ \mathrm{\mu\Omega .cm}$

-The thermal conductivity of the wire $K=22.5\ \mathrm{W/m.\text{\textdegree} \ \mathrm{C}}$

-The outer surface temperature of the wire maintained at $T_{wire}=93\text{\textdegree} \ \mathrm{C}$

-The heater wire submerged in a fluid maintained at $T_{\infty} =93\text{\textdegree} \ \mathrm{C}$

-The convection heat transfer coefficient $h=5.7\ \mathrm{W/m^{2}.\text{\textdegree} \ \mathrm{C}}$

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

-The temperature at the center of the wire

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

-Steady state condition

-One dimensional conduction

-Constant properties

-Negligible constant resistance

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