cee111-fa03-final-nazaroff-exam

# cee111-fa03-final-nazaroff-exam - CE 111 ENVIRONMENTAL...

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CE 111: ENVIRONMENTAL ENGINEERING SAMPLE FINAL EXAM Page 2 (from Fall 2002) 1. WARM-UP EXERCISES (14 points; 2 each) (a) Fick’s law in one dimension is J = - D dC/dx. Define each of the variables in the equation (J, D, C, and x) and give the associated dimensions. (b) Darcy’s law in one dimension can be written U = -K dh/dl. Define each of the variables in the equation (U, K, h, and l) and give the associated dimensions. (c) Particle-laden water enters a gently stirred CMFR. Within the CMFR, particles that settle to the bottom remain there. The CMFR volume is V and the water flow rate through it is Q. The CMFR is in the shape of a right-circular cylinder with its axis oriented vertically, such that V = AH where H is the height of water and A is the cross-sectional area. All particles have the same settling velocity v t . For a long period prior to the time of interest, the inlet particle concentration was C 1 , and the system was at steady state. Then, at t = 0, the inlet particle concentration is suddenly increased to C 2 . What is the characteristic time required for the new steady-state condition to be established? (d) Wastewater is discharged at a point at the edge of a river. As the wastewater is transported by advection downstream, it mixes across the river by turbulent diffusion. The river has width W, mean water velocity U, and turbulent diffusivity ε . Determine the characteristic distance L downstream from the point of discharge at which the wastewater plume reaches
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cee111-fa03-final-nazaroff-exam - CE 111 ENVIRONMENTAL...

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