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Question 3 A Newtonian liquid in uniform film flow on the internal surface of a long vertical tube is contacted with a gas in upward

Question 3
A Newtonian liquid in uniform film flow on the internal surface of a long vertical tube
is contacted with a gas in upward counterflow.
(i) Demonstrate by clearly outlining any assumptions made in your analysis.
that the volumetric flowrate of the liquid can be described by:
Qdi=(pL-g)33+surf22
where pL is the liquid film pressure gradient, surf the magnitude of the interfacial
frictional shear stress between the liquid and the gas which is assumed to be acting
vertically downwards (i.e.: parallel with the direction of flow), the film thickness, and
di is the inner pipe diameter.
A liquid is admitted at a fixed rate of 12kghr to the top of a vertical tube, 25mm in
internal diameter and 3m in length. The liquid flows in a uniform thin film down the
internal surface of the tube. In normal operation the liquid film is in contact with a gas
in upward countercurrent flow.
(ii) Calculate the residence time of the liquid in the tube in the absence of any
gas flow.
(iii) Estimate the maximum allowable gas throughput if the residence time of
the liquid is not to exceed 40 seconds.
You may assume that a constant friction factor of 0.006 applies to the gas-liquid
interface.
DATA:
Liquid properties:
Density=990 kg/m3
Viscosity =0.005Ns/m2
Gas properties:
Density =1.2 kg/m3

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