deep раве. release two sources of oil to the river: (1) the indirect runoff of oil accumulated on a br runs off site and crosses over the river and (2) the direct and permitted discharge of wa containing oil from the activities onsite (a water pollution control plant) to the river. Th a molecular weight of 100 g/mol, it fully dissolves in the river water, and it decays in th constant of 0.2 d-1. Estimate the potential impact of this action on the concentration of oil in the river at a location 500m downstream of the WPCP.

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Chapter9: Heat Transfer With Phase Change
Section: Chapter Questions
Problem 9.26P
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An 80m deep and 100m wide river flows from the left to the right off the page. An action will
release two sources of oil to the river: (1) the indirect runoff of oil accumulated on a bridge that
runs off site and crosses over the river and (2) the direct and permitted discharge of water
containing oil from the activities onsite (a water pollution control plant) to the river. The oil has
a molecular weight of 100 g/mol, it fully dissolves in the river water, and it decays in the river with a rate
constant of 0.2 d-1. Estimate the potential impact of this action on the concentration
of oil in the river at a location 500m downstream of the WPCP.
(1) bridge runoff
Q1 = 1 m's
C = 1 mol/m
(2) WPCP discharge
Q2 = 50 m's
C2 = 0.01 mol/m
Qin = 1000 m³'s
Cin = 0.001 mol/m?
--500m-
500m-
-500m
80m
100m
a. Recommend the x, y, and z dimensions of the CV. Justify your recommendations.
b. Estimate the oil concentration in the water 500m downstream of the WPCP assuming steady
and 1D mixed.
c. Sketch concentration profiles showing the results. Place your origin at the left hand side of
the CV at its bottom center, and then sketch concentration profiles as a function of
C(t,1500m,0,0), C(∞,x,0,0), C(∞,1500,y,0), and C(∞,1500,0,z).
d. Explain why it is reasonable to assume that this is a 1D steady problem.
Transcribed Image Text:An 80m deep and 100m wide river flows from the left to the right off the page. An action will release two sources of oil to the river: (1) the indirect runoff of oil accumulated on a bridge that runs off site and crosses over the river and (2) the direct and permitted discharge of water containing oil from the activities onsite (a water pollution control plant) to the river. The oil has a molecular weight of 100 g/mol, it fully dissolves in the river water, and it decays in the river with a rate constant of 0.2 d-1. Estimate the potential impact of this action on the concentration of oil in the river at a location 500m downstream of the WPCP. (1) bridge runoff Q1 = 1 m's C = 1 mol/m (2) WPCP discharge Q2 = 50 m's C2 = 0.01 mol/m Qin = 1000 m³'s Cin = 0.001 mol/m? --500m- 500m- -500m 80m 100m a. Recommend the x, y, and z dimensions of the CV. Justify your recommendations. b. Estimate the oil concentration in the water 500m downstream of the WPCP assuming steady and 1D mixed. c. Sketch concentration profiles showing the results. Place your origin at the left hand side of the CV at its bottom center, and then sketch concentration profiles as a function of C(t,1500m,0,0), C(∞,x,0,0), C(∞,1500,y,0), and C(∞,1500,0,z). d. Explain why it is reasonable to assume that this is a 1D steady problem.
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