Problem 2 120 points]. A cattle watering trough (width B 0.5 m, depth H 0.3 m, l
ID: 702279 • Letter: P
Question
Problem 2 120 points]. A cattle watering trough (width B 0.5 m, depth H 0.3 m, length L -12 m) was filled with stagnant quiescent water. A cow pushed hay into the one end of the trough, and the hay sank to the bottom in the middle of trough width. The trace metal selenium was sorbed to the hay at a mass fraction of 3.8 mg/kg, and enough hay was present that this content remained approximately steady despite subsequent desorption. Selenium desorbed from the hay and entered the trough water in a rapid and reversible process, characterized by a distribution coefficient K 0.85 L/g. Diffusion within the trough was homogeneous but anisotropic, with a horizontal diffusion constant D 0.003 m/s and vertical diffusion constant D-0.002 m2/s. Assume that the selenium otherwise behaved conservatively and did not volatize, react, or sorb to the trough lining. 10 12 hay Distance from hay, x (m) a) What was the concentretion of dissolved selenium in the trough immediately adjacent to the hay? b) How long did it take the selenium to mix across the trough width? depth? length? c) Sketch the selenium concentration over trough length after (i) 12 minutes and (ii) 24 hours. d) After 12 minutes, how much selenium had entered the trough from the hay? (Hint: think about the average concentration within a boundary layer.)Explanation / Answer
ANSWER:
A academic examination is made into the dispersion of a very viscous liquid, with constructive dispersion coefficient, on a quiet water facade.
while the boundary-layer draw on the spreading layer due to the hose down is tacit slight, the equations influential the motion are create by extend the use of lubrication theory to a upper order than that enforced for the location.
where boundary-layer drag is important.
In this behavior the a choice of system of equations and their managing of influence are found for situation range from those where the effect of boundary-layer drag is dominant to folks.
where it is negligible. Finally various investigative solution are originate for the dispersion equations for the box.
where boundary-layer drag is tiny.
geometric values of layer velocity and sizes are originate for characteristic examples
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