## Related questions with answers

An electric current is used to heat a tube through which a suitable cooling fluid flows. The outside of the tube is covered with insulation to minimize heat loss to the surroundings, and thermocouples are attached to the outer surface of the tube to measure the temperature. Assuming uniform heat generation in the tube, derive an expression for the convection heat transfer coefficient on the inside of the tube in terms of the measured variables: voltage $E$, current $I$, outside tube wall temperature $T_0$, inside and outside radii $r_i$ and $r_o$, tube length $L$, and fluid temperature $T_f$.

Solution

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

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

-The electric current used to heat the tube $I$

-The voltage generated from the current $E$

-The outside wall temperature $T_o$

-The outside radius of the tube $r_{out}$

-The inside radius of the tube $r_{in}$

-The length of the tube $L$

-The temperature of fluid which flows inside the tube $T_{fluid}$

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

-Drive an expression for the convection heat transfer coefficient on the inside of the tube in terms of given measure variables

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

-Uniformly heat generation in the tube

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