(Solved): A shell-and-tube heat exchanger with one shell-side pass and one tube-side pass has the following ...

A shell-and-tube heat exchanger with one shell-side pass and one tube-side pass has the following geometry: Shell diameter \( =63.5 \mathrm{~cm} \) Number of tubes \( =532 \) Length of a tube \( =4.8 \mathrm{~m} \) Outer diameter of tube \( =1.9 \mathrm{~cm} \) Inner diameter of tube \( =1.6 \mathrm{~cm} \) Spacing between tubes (triangular arrangement) \( =2.4 \mathrm{~cm} \) Baffle spacing \( =24.1 \mathrm{~cm} \) The tube material is stainless steel with a thermal conductivity of \( 17 \mathrm{~W} / \mathrm{m} \mathrm{K} \). The fouling heat-transfer coefficient is \( 5670 \mathrm{~W} / \mathrm{m}^{2} \mathrm{~K} \). The change in viscosity with temperature can be assumed negligible. Calculate the overall heat-transfer coefficient for this heat exchanger under the following service conditions: Tube side liquid undergoing sensible-heat transfer Flow rate \( =226,795 \mathrm{~kg} / \mathrm{hr} \quad \) Specific heat \( =2.1 \mathrm{~kJ} / \mathrm{kg} \mathrm{K} \) Viscosity \( =5 \times 10^{-4} \mathrm{~Pa} . \mathrm{s} \) Specific gravity \( =0.8 \) Thermal conductivity \( =0.13 \mathrm{~W} / \mathrm{m} \mathrm{K} \) Tube side liquid undergoing sensible-heat transfer Flow rate \( =90,718 \mathrm{~kg} / \mathrm{hr} \quad \) Specific heat \( =4.19 \mathrm{~kJ} / \mathrm{kg} \mathrm{K} \) Viscosity \( =8.3 \times 10^{-4} \mathrm{~Pa} . \mathrm{s} \) Specific gravity \( =1.0 \) Thermal conductivity \( =0.62 \mathrm{~W} / \mathrm{m} \mathrm{K} \)