A conical funnel of half-angle θ = 30° drains through a small hole of diameter d = 6.25 mm. at the vertex. The speed of the liquid leaving the funnel is V = 2 g y , where y is the height of the liquid free surface above the hole. The funnel initially is filled to height y 0 = 300 mm. Obtain an expression for the time, t , for the funnel to completely drain, and evaluate. Find the time to drain from 300 mm to 150 mm (a change in depth of 150 mm), and from 150 mm to completely empty (also a change in depth of 150 mm). Can you explain the discrepancy in these times? Plot the drain time t as a function diameter d for d ranging from 6.25 mm to 12.5 mm.
A conical funnel of half-angle θ = 30° drains through a small hole of diameter d = 6.25 mm. at the vertex. The speed of the liquid leaving the funnel is V = 2 g y , where y is the height of the liquid free surface above the hole. The funnel initially is filled to height y 0 = 300 mm. Obtain an expression for the time, t , for the funnel to completely drain, and evaluate. Find the time to drain from 300 mm to 150 mm (a change in depth of 150 mm), and from 150 mm to completely empty (also a change in depth of 150 mm). Can you explain the discrepancy in these times? Plot the drain time t as a function diameter d for d ranging from 6.25 mm to 12.5 mm.
A conical funnel of half-angle θ = 30° drains through a small hole of diameter d = 6.25 mm. at the vertex. The speed of the liquid leaving the funnel is
V
=
2
g
y
, where y is the height of the liquid free surface above the hole. The funnel initially is filled to height y0 = 300 mm. Obtain an expression for the time, t, for the funnel to completely drain, and evaluate. Find the time to drain from 300 mm to 150 mm (a change in depth of 150 mm), and from 150 mm to completely empty (also a change in depth of 150 mm). Can you explain the discrepancy in these times? Plot the drain time t as a function diameter d for d ranging from 6.25 mm to 12.5 mm.
A horizontal nozzle discharges water into the atmosphere as shown in the figure. the relative pressure at point 1 equal to ?1 = 18 ??? .
A. A Pitot tube connected to a mercury manometer is inserted into the flow. in the area section A1 indicating a height difference ℎ = 0.01 m. For this reading indicated in the Pitot tube, determine the velocity in the A1 area section of the nozzle.
B. For the dimensioning of the anchor block it is necessary to determine the force that the nozzle applies over the fluid. Calculate the component of this force in the x direction.
Data: ?1 = 0.070 ?; ?2 = 0.060 ?; ? = 30°; ??? = 13.6
A horizontal nozzle discharges water into the atmosphere as shown in the figure, being the relative pressure at point 1 equal to p1 = 20 kPa
A Pitot tube connected to a mercury manometer is inserted into the flow in area section A1 indicating a height difference h = 0.02 m. For this reading indicated in the Pitot tube, determine the speed in the Area A1 section of the nozzle.
For docking block sizing it is necessary to determine the force that the nozzle applies to the fluid. Calculate the component of this force in the x direction.
Data: D1 = 0,075 m; D2 = 0,055 m; θ = 30° ; dHg = 13,6.
The jet of water of a pelton wheel is 80mm diameter. The jet strike's the bucket on the tangential line 0.45m from the centre of the wheel and the jet is deflected through 160° while it is moving across the bucket. Ignore friction and determine the power and hydraulic efficiency if the speed is 275 r/min and the pressure behind the nozzle is 680kPa
Chapter 4 Solutions
Fox and McDonald's Introduction to Fluid Mechanics
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8.01x - Lect 27 - Fluid Mechanics, Hydrostatics, Pascal's Principle, Atmosph. Pressure; Author: Lectures by Walter Lewin. They will make you ♥ Physics.;https://www.youtube.com/watch?v=O_HQklhIlwQ;License: Standard YouTube License, CC-BY