Homework Answers
We have to use Bernoulli's principles of flow
As follows
Here there is possiblity that P1-P2 can be zero if height difference is very less i.e. x is very small so we can eliminate the term P0 /(rho) from the final equation of velocity.
So the equation may become
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Help please ne ar A cylindrical open water bottle of diameter D has a circular hole...
An enclosed tank containing water of density (r = 1000 kg/m3) has a hole in its side at a distance y1 from the tank’s bottom as shown in figure. The hole is open to atmosphere (Po = 1´105 Pa) , and it...
An enclosed tank containing water of density (r = 1000 kg/m3) has a hole in its side at a distance y1 from the tank’s bottom as shown in figure. The hole is open to atmosphere (Po = 1´105 Pa) , and its diameter is much smaller than the diameter of the tank. The air above the liquid is maintained at a pressure (P = 1.6´105 Pa). Determine the speed of the liquid as it leaves the hole when the liquid’s...
A. just after the hole is made, what is the speed of the water as it...
A. just after the hole is made, what is the speed of the water
as it emerges from the hole? (answer 4.45 m/s)
B. what is the ratio of this speed to the efflux speed if the
top of the tank is open to the air?
C. How much time does it take for all the water to drain from
the tank?
D. What is the ratio of this time to the time is takes for the
tank to drain...
A large cylindrical tank with diameter D is open to the air at the top. The...
A large cylindrical tank with diameter D is open to the air at the top. The tank contains water to a height H. A small circular hole with diameter d<< D is then opened at the bottom of the tank. Ignore any viscosity effects. (a) Find the height y of water in the tank as a function of time t after the hole is opened. (b) If the initial height H of the water is doubled, by what factor does...
Consider water being drained from a cylindrical container of diameter D through a hole in the...
Consider water being drained from a cylindrical container of
diameter D through a hole in the cap, of diameter
d, as shown below. Let A be a point on the surface of the
water and let B be a point right at the hole. The level of water is
h above the hole.
If the height of the water level is h = 24 cm, what is
the value of
vB2−vA2, in SI units?
If the diameters are d =...
3. (3 points) A tank of diameter D is filled with water up to a height...
3. (3 points) A tank of diameter D is filled with water up to a height h above the bottom of the tank (Figure 3). At the bottom of the tank is a hole of diameter d. Assume that the water flows out of the hole with a laminar flow and that the difference in atmospheric pressure between the top and the bottom of the tank is negligible Figure 3: A lank draining a) What speed will the water have...
A 2L bottle is filled with water and has a 2mm diameter hole in the side...
A 2L bottle is filled with water and has a 2mm diameter hole in the side 2cm from the bottom and the top is open to the atmosphere. a) What is the velocity of the water stream coming out of the hole when the water is 10cm above the hole? Treat the water as an ideal fluid obeying Bernoulli's equation. Additionally, you may assume that the flow is slow enough that the velocity of the water at the top surface...
7 Water is flowing into the top of an open cylindrical tank (diameter D) at a...
7 Water is flowing into the top of an open cylindrical tank (diameter D) at a volume flow rate of e and out of a hole in the bottom at a rate of O The tank is made of wood that is very porous and the water is leaking out through the wall uniformly at a rate of q per unit of wetted surface area. The initial depth of water in the tank is 2,. Derive an equation for the...
(3 points) A tank of diameter D is filled with water up to a height h...
(3 points) A tank of diameter D is filled with water up to a height h above the bottom of the tank (Figure 3). At the bottom of the tank is a hole of diameter d. Assume that the water flows out of the hole with a laminar flow and that the difference in atmospheric pressure between the top and the bottom of the tank is negligible. Figure 3: A tank draining (c) If you no longer assume that the...
The figure shows a cylindrical tank of 80 em in diameter which is fully filled with water. In order to increase the flow from the tank to the exit pipe on the left, an additional pressure is appl...
The figure shows a cylindrical tank of 80 em in diameter which is fully filled with water. In order to increase the flow from the tank to the exit pipe on the left, an additional pressure is applied to the water surface by an air compressor to supply air to the upper air chamber of the tank. The external walls of the tank are exposed to the atmospheric conditions of the area. You are required to determine the hydrostatic conditions...
Consider a stream of water falling freely at atmospheric pressure from an open faucet. At the...
Consider a stream of water falling freely at atmospheric pressure from an open faucet. At the exit of the faucet the stream has a diameter of 15 mm. The stream is laminar at all times and has a circular cross section. You also measure that the stream fills a 2.5 liter bucket in 35 seconds. The density of water is 1.0 kg/liter. Part a: Calculate the flow rate. Part b: Calculate the current. Part c: Find the velocity of the...
A. just after the hole is made, what is the speed of the water
as it emerges from the hole? (answer 4.45 m/s)
B. what is the ratio of this speed to the efflux speed if the
top of the tank is open to the air?
C. How much time does it take for all the water to drain from
the tank?
D. What is the ratio of this time to the time is takes for the
tank to drain...
Consider water being drained from a cylindrical container of
diameter D through a hole in the cap, of diameter
d, as shown below. Let A be a point on the surface of the
water and let B be a point right at the hole. The level of water is
h above the hole.
If the height of the water level is h = 24 cm, what is
the value of
vB2−vA2, in SI units?
If the diameters are d =...
3. (3 points) A tank of diameter D is filled with water up to a height h above the bottom of the tank (Figure 3). At the bottom of the tank is a hole of diameter d. Assume that the water flows out of the hole with a laminar flow and that the difference in atmospheric pressure between the top and the bottom of the tank is negligible Figure 3: A lank draining a) What speed will the water have...
A 2L bottle is filled with water and has a 2mm diameter hole in the side 2cm from the bottom and the top is open to the atmosphere. a) What is the velocity of the water stream coming out of the hole when the water is 10cm above the hole? Treat the water as an ideal fluid obeying Bernoulli's equation. Additionally, you may assume that the flow is slow enough that the velocity of the water at the top surface...
7 Water is flowing into the top of an open cylindrical tank (diameter D) at a volume flow rate of e and out of a hole in the bottom at a rate of O The tank is made of wood that is very porous and the water is leaking out through the wall uniformly at a rate of q per unit of wetted surface area. The initial depth of water in the tank is 2,. Derive an equation for the...
(3 points) A tank of diameter D is filled with water up to a height h above the bottom of the tank (Figure 3). At the bottom of the tank is a hole of diameter d. Assume that the water flows out of the hole with a laminar flow and that the difference in atmospheric pressure between the top and the bottom of the tank is negligible. Figure 3: A tank draining (c) If you no longer assume that the...
The figure shows a cylindrical tank of 80 em in diameter which is fully filled with water. In order to increase the flow from the tank to the exit pipe on the left, an additional pressure is applied to the water surface by an air compressor to supply air to the upper air chamber of the tank. The external walls of the tank are exposed to the atmospheric conditions of the area. You are required to determine the hydrostatic conditions...
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