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A plane flow field is developed by the addition of a free vortex and a uniform stream in the positive x direction. If the vortex is located a distance a from the origin, determine the pressure variation in the flow field. Express your answer in terms of the uniform velocity V, the strength of the vortex ?, and the pressure po far from the origin. (6.61)
Assume you are an observer standing at a point on the track for a period of 30 minutes and are recording the instantaneous speed of each vehicle as it crosses your point. What is the time-mean speed and space-mean speed for these vehicle
Ammonium (NH4+) is a weak acid with a pKa of 9.26. The dissociation is: NH+4 NH3 + H+. Calculate the mass of ammonium added to 1 L of water in order to obtain a pH of 4 at equilibrium.
A wide rectangular channel has a change of slope from 1 in 100 to 1 in 500 and the flow is 4m3/s/m. Manning's n can be taken as 0.015 Determine the normal depth of flow before and after the change in gradient.
Two level sections of an east-west highway (G=0) are to be connected. Currently, the two sections of highway are separated by a 4000-ft (horizontal distance), 2% grade. The western most section of highway is the higher of the two and is at elevati..
Sketch and identify the Tresca (maximum shear stress) and von Mises (maximum distortion energy) failure criteria in two-dimensional principal stress space (i.e., ?2 vs. ?1) for the above material.
An hydraulic motor is connected with a hose to a pump and powers a conveyor on a harvesting machine. Oil flows in a 16 ft hydrualics hose from the pump to the motor.
at the bottom of a loop in the vertical plane an airplane has a horizontal velocity of 315 mi/h and is speeding up at a rate of of 10ft/s^2. The radius of curvature of the loop is 1mi. The plane is being tracked by radar at O.
A 50,000 L/day stream of wastewater must be heated from 15 degrees celsius to 40 degrees celsius for a treatment process to work properly. at what rate must we put heat into the stream? assume that wastewater has thermal properties exactly like pure ..
Determine the major and minor principal stresses at failure and the effective stress friction angle (assume c' = 0). Plot the Mohr diagram.
Water flows uniformly at a depth of y1 = 40 cm in the rectangular troweled concrete channel shown, which is 10 m wide and has a bed slope of So = 0.040 . What is the velocity in the channel before the hydraulic jump
The partial pressure of the gasses in a 22,414-L volume of air at STP are: oxygen, 21,224 kPa; nitrogen, 79,119 kPa; argon, 0.946 kPa; and carbondioxide, 0.036 kPa. Determine the gram molecular weight of air.
A submerged stratum of clay has a thickness of 15m. The average water content of samples taken from the stratum is 54%, and the specific gravity of the solid constituents is 2.78.
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