Chapter 10: Problem 58
What is condensation? How does it occur?
Chapter 10: Problem 58
What is condensation? How does it occur?
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Get started for freeWater is boiled at sea level in a coffeemaker equipped with a \(30-\mathrm{cm}\)-long, 0.4-cm-diameter immersion-type electric heating element made of mechanically polished stainless steel. The coffeemaker initially contains \(1 \mathrm{~L}\) of water at \(14^{\circ} \mathrm{C}\). Once boiling starts, it is observed that half of the water in the coffeemaker evaporates in \(32 \mathrm{~min}\). Determine the power rating of the electric heating element immersed in water and the surface temperature of the heating element. Also determine how long it will take for this heater to raise the temperature of $1 \mathrm{~L}\( of cold water from \)14^{\circ} \mathrm{C}$ to the boiling temperature.
The Reynolds number for condensate flow is defined as $\operatorname{Re}=4 \dot{m} / p \mu_{l}\(, where \)p$ is the wetted perimeter. Obtain simplified relations for the Reynolds number by expressing \(p\) and \(\dot{m}\) by their equivalence for the following geometries: \((a)\) a vertical plate of height \(L\) and width \(w,(b)\) a tilted plate of height \(L\) and width \(w\) inclined at an angle \(u\) from the vertical, (c) a vertical cylinder of length \(L\) and diameter \(D,(d)\) a horizontal cylinder of length \(L\) and diameter \(D\), and (e) a sphere of diameter \(D\).
Consider film condensation on the outer surfaces of four long tubes. For which orientation of the tubes will the condensation heat transfer coefficient be the highest: \((a)\) vertical, \((b)\) horizontal side by side, \((c)\) horizontal but in a vertical tier (directly on top of each other), or \((d)\) a horizontal stack of two tubes high and two tubes wide?
An air-water mixture is flowing in a \(5^{\circ}\) inclined tube that has a diameter of \(25.4 \mathrm{~mm}\). The two-phase mixture enters the tube at \(25^{\circ} \mathrm{C}\) and exits at \(65^{\circ} \mathrm{C}\), while the tube surface temperature is maintained at \(80^{\circ} \mathrm{C}\). If the superficial gas and liquid velocities are \(1 \mathrm{~m} / \mathrm{s}\) and $2 \mathrm{~m} / \mathrm{s}$, respectively, determine the two-phase heat transfer coefficient \(h_{t p}\). Assume the surface tension is $\sigma=0.068 \mathrm{~N} / \mathrm{m}\( and the void fraction is \)\alpha=0.33$.
Water is to be boiled at atmospheric pressure in a mechanically polished steel pan placed on top of a heating unit. The inner surface of the bottom of the pan is maintained at \(110^{\circ} \mathrm{C}\). If the diameter of the bottom of the pan is \(30 \mathrm{~cm}\), determine \((a)\) the rate of heat transfer to the water and \((b)\) the rate of evaporation.
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