Chapter 11: Problem 1
Classify heat exchangers according to flow type, and explain the characteristics of each type.
Chapter 11: Problem 1
Classify heat exchangers according to flow type, and explain the characteristics of each type.
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Get started for freeThe National Sanitation Foundation (NSF) standard for commercial warewashing equipment (ANSL/NSF 3) requires that the final rinse water temperature be between 82 and \(90^{\circ} \mathrm{C}\). A shell-and-tube heat exchanger is to heat \(0.5 \mathrm{~kg} / \mathrm{s}\) of water $\left(c_{p}=4200 \mathrm{~J} / \mathrm{kg} \cdot \mathrm{K}\right)\( from 48 to \)86^{\circ} \mathrm{C}$ by geothermal brine flowing through a single shell pass. The heated water is then fed into commercial warewashing equipment. The geothermal brine enters and exits the heat exchanger at 98 and \(90^{\circ} \mathrm{C}\), respectively. The water flows through four thin-walled tubes, each with a diameter of $25 \mathrm{~mm}$, with all four tubes making the same number of passes through the shell. The tube length per pass for each tube is \(5 \mathrm{~m}\). The corresponding convection heat transfer coefficients on the outer and inner tube surfaces are 1050 and $2700 \mathrm{~W} / \mathrm{m}^{2} \cdot \mathrm{K}$, respectively. The estimated fouling factor caused by the accumulation of deposit from the geothermal brine is $0.0002 \mathrm{~m}^{2} . \mathrm{K} / \mathrm{W}$. Determine the number of passes required for the tubes inside the shell to heat the water to \(86^{\circ} \mathrm{C}\), within the temperature range required by the ANIS/NSF 3 standard.
Can the temperature of the hot fluid drop below the inlet temperature of the cold fluid at any location in a heat exchanger? Explain.
In a one-shell and two-tube heat exchanger, cold water with inlet temperature of \(20^{\circ} \mathrm{C}\) is heated by hot water supplied at the inlet at \(80^{\circ} \mathrm{C}\). The cold and hot water flow rates are $5000 \mathrm{~kg} / \mathrm{h}\( and \)10,000 \mathrm{~kg} / \mathrm{h}$, respectively. If the shell-andtube heat exchanger has a \(U A_{s}\) value of \(11,600 \mathrm{~W} / \mathrm{K}\), determine the cold water and hot water outlet temperatures. Assume $c_{p c}=4178 \mathrm{~J} / \mathrm{kg} \cdot \mathrm{K}\( and \)c_{p t}=4188 \mathrm{~J} / \mathrm{kg} \cdot \mathrm{K}$.
Cold water $\left(c_{p}=4.18 \mathrm{~kJ} / \mathrm{kg} \cdot \mathrm{K}\right)\( enters a crossflow heat exchanger at \)14^{\circ} \mathrm{C}\( at a rate of \)0.35 \mathrm{~kg} / \mathrm{s}$ where it is heated by hot air $\left(c_{p}=1.0 \mathrm{~kJ} / \mathrm{kg} \cdot \mathrm{K}\right)\( that enters the heat exchanger at \)65^{\circ} \mathrm{C}$ at a rate of \(0.8 \mathrm{~kg} / \mathrm{s}\) and leaves at $25^{\circ} \mathrm{C}$. Determine the maximum outlet temperature of the cold water and the effectiveness of this heat exchanger.
Water $\left(c_{p}=1.0 \mathrm{Btu} / \mathrm{lbm} \cdot{ }^{\circ} \mathrm{F}\right)\( is to be heated by solar-heated hot air \)\left(c_{p}=0.24 \mathrm{Btu} / \mathrm{lbm} \cdot{ }^{\circ} \mathrm{F}\right)$ in a double- pipe counterflow heat exchanger. Air enters the heat exchanger at $190^{\circ} \mathrm{F}\( at a rate of \)0.7 \mathrm{lbm} / \mathrm{s}$ and leaves at \(135^{\circ} \mathrm{F}\). Water enters at \(70^{\circ} \mathrm{F}\) at a rate of \(0.35 \mathrm{lbm} / \mathrm{s}\). The overall heat transfer coefficient based on the inner side of the tube is given to be 20 Btu/h $/ \mathrm{ft}^{2} \cdot{ }^{\circ} \mathrm{F}$. Determine the length of the tube required for a tube internal diameter of \(0.5 \mathrm{in}\).
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