The moisture in hot, humid, stagnant air surrounding a cold-water pipeline continually diffuses to..

The moisture in hot, humid, stagnant air
surrounding a cold-water pipeline continually diffuses to the cold surface
where it condenses. The condensed water forms a liquid film around the pipe,
and then continuously drops off the pipe to the ground below. At a distance of
10 cm from the surface of the pipe, the moisture content of the air is
constant. Close to the pipe, the moisture content approaches the vapor pressure
of water evaluated at the temperature of the pipe.

a. Draw a picture of the physical system,
select the coordinate system that best describes the transfer process and state
»

The moisture in hot, humid, stagnant air
surrounding a cold-water pipeline continually diffuses to the cold surface
where it condenses. The condensed water forms a liquid film around the pipe,
and then continuously drops off the pipe to the ground below. At a distance of
10 cm from the surface of the pipe, the moisture content of the air is
constant. Close to the pipe, the moisture content approaches the vapor pressure
of water evaluated at the temperature of the pipe.

a. Draw a picture of the physical system,
select the coordinate system that best describes the transfer process and state
at least five reasonable assumptions of the mass-transfer aspects of the water
condensation process.

b. What is the simplified form of the
general differential equation for mass transfer in terms of the flux of water
vapor, NA?

c. What is the simplified differential form
of Fick’s equation for water vapor, NA?

d. What is the simplified form of the
general differential equation for mass transfer in terms of the concentration
of water vapor, cA?

»

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