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Whirlpools
Whirlpools may be approximated by a series of vortices of same signs advected into an uniform flow.
(a) Consider two vortices of equal strength K = +1 located at (-2,) and (+2, 0). Estimate how far away the effect of the vortices is perceived to be that of an unique vortex. What would be the strength of that vortex?
(b) Consider two vortices of equal strength K = +1 located at (-2,) and (+2, 0) in a horizontal uniform flow V = +0.03. What are the stream function and velocity potential of the resulting flow motion.
Water is flowing at a depth of 10 ft with a velocity of 10 ft/s in a channel of rectangular section. Find the depth and change in water surface elevation caused by a smooth upward step in the channel bottom of 1 ft.
A rectangular plata 5 ft by 4 ft is at an angle of 30 degrees with the horizontal, and the 5-ft side is horizontal. Find the magnitude of the force on one side of the plate and the depth of its center of pressure when the top edge is 1 ft below the w..
Clouds can weigh thousands of pounds due to their liquid water content. Often this content is measured g/m^3. Assume that a cumulus cloud occupies a volume of one cubic km, and its liquid water content is 0.2g/m^3.
Draw a graph showing the effluent concentration as a function of time for : a. Zero order CMFR and PFR with the same influent concentration and reaction rate. b. First order CMFR and PFR with the same influent concentration and reaction rate.
Adriana wishes to accumulate $2,020,000 in 35 years. If 35 end-of-year deposits are made into an account that pays interest at a rate of 7% compounded annually, what size deposit is required each year to meet Adriana's stated objective?
Determine the components Fa and Fb of the 4.2 kN force along the oblique axes a and b. Determine the projections Pa and Pb of F onto the a- and b-axes.
plot the tensions in wires 1 and 2 and the magnitude N of the force normal to the slot as functions of time t for the interval ≤ t ≤ 5 s.
Air undergoes a polytropic expansion process in a piston-cylinder assembly from 75 psia and 300 F to 15 psia. Employing the ideal gas model with constant specific heat ratio k
Discuss the effects of stacking fault energy on the deformation of a ductile solid
Determine the maximum allowable height, h, if the box sections are not to buckle in the weaker direction.
Determine the angular acceleration of the cylinder and the minimum coefficient μs of friction for which the cylinder will not slip.
The mine's operating costs were projected at $900,000 per year including $400,000 of fixed costs and $500,000 of variable costs. Ms. Peru thought these forecasts accurate.
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