a pollution-free stream at a flow rate known flow rate and concentration. Tl sume the nollutant can he modeled as

Structural Analysis
6th Edition
ISBN:9781337630931
Author:KASSIMALI, Aslam.
Publisher:KASSIMALI, Aslam.
Chapter2: Loads On Structures
Section: Chapter Questions
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An action will release discharge from a factory at a flow rate of 5 m³/s containing chemical A at a
concentration of 100 mol/L to a proportionally sized lake of volume 10' m³. This lake is also fed
by a pollution-free stream at a flow rate of 50 m³/s. Water leaves the lake by a stream of
unknown flow rate and concentration. The chemical decays by the reaction: A → B (k= 0.25 d1).
Assume the pollutant can be modeled as OD and steady.
Draw a picture showing the source, receptor, CV boundaries, CS surfaces and xyz origin.
b. Determine the flow rate of water leaving the lake in the stream.
Determine the concentration of chemical A leaving the lake in the stream.
d. Sketch the concentration profiles of chemical A, assuming that the overall dimensions of the
lake are length X, width 2Y and depth Z, showing continuity between the profiles:
- CA (t) at the xyz location where chemical A leaves the lake in the stream
- CA(X) at y=0, z=0, and t=0
- CA (y) at x=X, z=0, and t=0
- CA (z) at x=X, y=0 and t=0
Explain why this problem is reasonably OD and steady.
а.
С.
е.
Transcribed Image Text:An action will release discharge from a factory at a flow rate of 5 m³/s containing chemical A at a concentration of 100 mol/L to a proportionally sized lake of volume 10' m³. This lake is also fed by a pollution-free stream at a flow rate of 50 m³/s. Water leaves the lake by a stream of unknown flow rate and concentration. The chemical decays by the reaction: A → B (k= 0.25 d1). Assume the pollutant can be modeled as OD and steady. Draw a picture showing the source, receptor, CV boundaries, CS surfaces and xyz origin. b. Determine the flow rate of water leaving the lake in the stream. Determine the concentration of chemical A leaving the lake in the stream. d. Sketch the concentration profiles of chemical A, assuming that the overall dimensions of the lake are length X, width 2Y and depth Z, showing continuity between the profiles: - CA (t) at the xyz location where chemical A leaves the lake in the stream - CA(X) at y=0, z=0, and t=0 - CA (y) at x=X, z=0, and t=0 - CA (z) at x=X, y=0 and t=0 Explain why this problem is reasonably OD and steady. а. С. е.
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