The sediment settling velocity, ωs (ms-1) in stagnant water is dependent on the sediment diameter, d...

The sediment settling velocity, ωs (ms-1) in stagnant water is dependent on the sediment diameter, d (m), sediment density, ρs (kgm-3), water density, ρ (kgm-3),dynamic viscosity of water, μ (kgm-1 s-1), and gravitational acceleration, g (ms-2).By applying the dimensional analysis, develop the equation in terms of phi, π to
explain the ωs.

Expert Solution

Ally Wells answered 8 months ago

Compute the settling velocity for the following particles: very coarse sand ( diameter = 1.5 mm...

Compute the settling velocity for the following particles: very coarse sand ( diameter = 1.5 mm ) , (diameter=1.5 mm), medium sand (0.4 mm), very fine sand (0.075 mm), and clay (0.001 mm). Estimate the time for each particle to fall 6 in. in water. Assume: SG: coarse sand = 2.65, medium sand = 2.67, fine sand = 2.70, clay = 2.8 & water temperature = 60°F Note:The other solution on chegg is wrong.

(a) Calculate the settling velocity of glass spheres (density = 2467 kg/m3) having diameter as 1.5...

(a) Calculate the settling velocity of glass spheres (density = 2467 kg/m3) having diameter as 1.5 mm in water. The slurry contains 65% by weight solid. Use Newton’s law. (b) Mixture of an ore (density 2000 kg/m3) and gangue (density 7000 kg/m3) is to be separated in a hydraulic elutriator. The mixture has following size distribution, which is valid for ore as well as gangue. Predict the upward velocity of water in elutriator so that entire ore is collected in...

A jet of water 50 mm in diameter with a velocity of 20 m/s strikes a...

A jet of water 50 mm in diameter with a velocity of 20 m/s strikes a flat plate inclined at an angle of 30° to the axis of the jet. Determine (i) the normal force exerted on the plate when the plate is stationary (ii) the normal force exerted on the plate when the plate is moving at 5 m/s in the direction of the jet (iii) the work-done on the plate and the efficiency for case (ii).

Solid particles (diameter 1.5 x 10-4 m, average density = 2800 kg/m3) are settling in water...

Solid particles (diameter 1.5 x 10-4 m, average density = 2800 kg/m3) are settling in water at 30 °C. The properties of water at this temperature are viscosity (µ) = 8 x 10-4 kg/m.s and density (p) = 996 kg/m3 a) What is the terminal velocity for the particles? b) What would be the velocity of the system in a separator with an acceleration of 390 m/s2?

cylindrical container with circular hole at the bottom with diameter d , is filled with water...

cylindrical container with circular hole at the bottom with diameter d , is filled with water to height h . Which of the following statement is correct for the itime required to empty the container If d is constant , the time is inversely proportional to the height of water . If h is constant , the time is inversely proportional to the area of hole . If his constant , the time is directly proportional to the area of...

A 2-in diameter jet of water having a velocity of 30 ft/s is deflected parallel to...

A 2-in diameter jet of water having a velocity of 30 ft/s is deflected parallel to a curved vane. The jet flows freely in the atmosphere in a horizontal plane. Calculate the x and y forces exerted on the water by the vane. Defelction is 90 Degrees

Water flows through a 3 inch diameter pipe at a velocity of 10 ft/s. Find the...

Water flows through a 3 inch diameter pipe at a velocity of 10 ft/s. Find the a) volume flow rate in cfs(cubic feet per second) and gpm(gallons per minute) b) mass flow rate in slug/second.

Water in pipe AB (Figure 2), diameter (DAB) 1.2 m, is flowing with the velocity (VAB)...

Water in pipe AB (Figure 2), diameter (DAB) 1.2 m, is flowing with the velocity (VAB) of 3 m/second. Then it continues to flow through pipe BC, with a diameter (DBC) of 1.5 m and finally flows through branch pipe of CD, diameter (DCD) of 0.8 m and pipe of CE (DCE), with a velocity (VCE) of 2.1 m/second. Calculate: 1. Discharge of pipe AB (QAB) 2. Flow velocity of pipe BC (VBC) 3. Flow velocity of pipe BC (VBC)...

A water tower supplies water to a city through a pipe with 1 ft diameter. The...

A water tower supplies water to a city through a pipe with 1 ft diameter. The pipe is 0.5 miles long and is made of commercial steel pipe. Over the years, the supply line lost head and engineers are considering the replacement of 94 percent of the pipe length with a larger diameter pipe (same type). The peak water demand is 3.53 ft3/sec. How much pressure head could be gained by this strategy?

If each of the seven individuals pulls water in with a velocity of 3.0 mm per second through an incurrent siphon 1.0 mm in diameter

If each of the seven individuals pulls water in with a velocity of 3.0 mm per second through an incurrent siphon 1.0 mm in diameter, and the combined water from all seven individuals exits the shared excurrent siphon, which has a diameter of 1.5 mm, what is the velocity of the water as it leaves the excurrent siphon?

Question