Question

You are working on a feedwater system for a chemical engineering plant. A section of the pipe passes through a stream of width ? = 4 m which flows at constant temperature and velocity (?∞ = 12 °C,?∞ = 1.7 m⁄s). You need to determine the temperature change of the feedwater as it passes through the stream. The feedwater is 20 °C as it enters the section passing through the stream. The pipe diameter is 4 inches and the volume flowrate is 50 GPM.

a. Calculate the Reynolds number of the water flowing inside of the pipe. Is the flow laminar or turbulent? (We can continue with this problem either way)

b. Calculate the heat transfer coefficient in the pipe. The thermal conductivity of water is 0.6 W/m-°C and the Prandtl number is 7.5. Use an appropriate laminar flow correlation, or assuming fully developed turbulent flow, the Dittus-Boelter correlation is appropriate: ?̅̅̅?̅ ? = ℎ̅? ? = 0.023 ∗ ??? ( 4 5 ⁄ ) ?? (0.3)

c. Calculate the temperature change of the water assuming the pipe wall temperature is equal to the stream temperature. The specific heat of water is 4200 J/kg-°C. Use the following transformation for integration: ?(?) = (?(?) − ?∞)

d. Calculate the total heat transfer rate.

Answer 1

using given data and coreealtion we can find th flow pattern and heat trasnfer coefficiemnt and temperature change and hence heat trasnfer rate in pipe

for any doubts please write in comments to me ill respond ASAP