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Write the mass balance equation for an ideal 1D plug-flow stream under steady state conditions with a first-order decaying substance. Solve for the concentration as a function of the concentration x=0, the rate constant kd, longitudinal distance x, and mean velocity u. Assume the rate constant for BOD decay is 0.2 d^-1, the mean velocity of the stream is 0.5 m s^-1, and the initial concentration is 100 mg L^-1 at x=0. Plot the resulting concentration with downstream distance x in km.
A rod consisting of two cylindrical portions AB and BC is restrained at both ends. Portion AB is made of steel (E=29x10^6 psi, α=6.5x10^-6) and portion BC is made of aluminum (E=6.5x10^-6 psi, α=13.3x10^-6).
A particle with a mass of 0.5 kg has a velocity of 10 m/s in the x-direction at time t = 0. Forces F1 and F2 act on the particle, and their magnitudes change with time according to the graphical force-time history shown.
Water flows through the interior of a jet ski at 40ft^3/s. The water enters the boat at 75ft/s at an angle of 30 degrees to the water surface. The exit velocity id 85ft/s in the horizontal direction. The boat is in seawater at 60 degrees F.
Let a one-dimensional velocity field be u = u(x, t), with v = 0 and w = 0. The density varies a ?-?0(2-cos(wt)) Find an expression for u(x, t) if u(0, t) = U.
the pressure inside a commercial airliner is maintained at 1.00 ATM. what is the net upward force exerted on a (1.0 m)(200 cm) cabin door if the outside pressure is 0.30 ATM?
A stress orientation can always be found that maximizesnormal stresses and causes shear stresses to be zero.
What is atomic packing factor? Which crystalline structures exhibit the maximum atomic packing factor values? Please provide detailed solutions, steps and explanations
An embarkment will be constructed with the soil compacted to 95 percent of the max dry density. the borrow material, is deposited at a uniform density of 75 percent of the max dry density. the roadway embankment will require 75,000 cubic yards of fil..
The discussion must address phase angle relationships of current and voltage. The answer must include the effect of source frequency on the voltage drops across the resistor and the inductor at very low and very high frequency values.
The 2kg block A and the 5kg block B are initially at rest on the inclined plane at 20 degrees. All surfaces in this system have a coefficient of static friction of 0.6 , and a coefficient of kinetic friction of 0.4.
John Adams has a $65,000 adjustable gross income from Apple Corp. and allowable itemized deductions of $7200. Mary Eve has a $75,000 adjustable gross income and $2000 of allowable itemized deductions.
You are in an old spy movie, and have been locked into a small room (volume 1000 ft). You suddenly realize that a poison gas has just started entering the room through a ventilation duct. Recognizing the type of poison from its smell, you know that i..
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