(Problem 15.8 in Surface Water-Quality Modeling) Two tributaries enter an elonga

Question

(Problem 15.8 in Surface Water-Quality Modeling) Two tributaries enter an elongated impoundment along its length. The estuary is modeled as having 9 segments. Tributaries enter at segments 5 and 7. Flow and chloride concentrations for these tributaries and the inflow river are listed in the table below. Chloride Phosphorus Flow (m/y)Concentration (mg/L) Concentration (ug/L) Inflow Tributary A Tributary B 10 x 106 7.5 x 10 5 x 106 150 400 100 30 100 50 The following segment and interface data are available. Segment LengthW Depth (m) Chloride [mg/L) 150 151 157 200 253 245 Area (m2) 250 250 250 600 600 600 | | ?nterface l 500 250 500250 250 300 300 300 1-2 2-3 3-4 4-5 5-6 6-7 7-8 8-9 500 500 500 500 4 500 1000 1000 5000 5000 500 500 1000 Employ this data to estimate the longitudinal turbulent diffusion coefficients for the interfaces in this system. Hint: Apply equations 15.14 and 15.18 assuming that a and p 0.5 (centered differences)

Explanation / Answer

Since, the radius of tributary A is 1.5 times greater than tributary B, the volume of blood flow through tributary A is 1.5 times smaller than the flow through tributary B. This is because, greater the radius, smaller is the velocity and volume of blood flow and smaller the radius, greater is the velocity and volume of blood flow. Therefore, radius of blood vessel and volume and velocity of blood flow are inversely proportional to each other.

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