Bernoulli's equation Definition and 185 Threads

Dear all, I have found in the literature that if there is a open tank discharging water into the atmosphere the pressure at the discharge point is considered to be equal to the atmospheric pressure. If one looks to the Bernoulli's equation and assuming no friction: Pressure +...

Solve for v1 P1 + (1/2)ρv1^2 = P2 + (1/2)(v1r1^s/r2^2)^2 I am attempting to solve this equation for v1, but I am getting stuck on some algebra. How do I solve for v1? I can't figure out how to do it without eliminating v1 altogether because I have a v1^2 on both sides of the equation.

I am reading through my fluid mechanics book and there is a derivation of Torricelli's theorem i.e. V = \sqrt{2gh}. The author's pick the datum line at the middle of the jet and show that: h = \dfrac{p}{\gamma} + \dfrac{V^2}{2g} where h is the distance from the jet to the surface of the...

It's just a simple question about the pressure under and over the plane's wing problem that I'm trying to answer. Well, actually I've already answered it, but one just keeps bugging me. Why don't we consider the difference in altitude of the lower and upper points of the fluid (air) when we use...

Homework Statement This book is skipping over too many steps where A1 = 1m2 A2 = .5 m2 y1 - y2 = 5m The Attempt at a Solution I'm having trouble getting from one step to another. By my reckoning this equation can be simplified by removing P0 and ρ since they are the same on both...

A Pitot-static tube connected to water manometer is used to measure the velocity of air. If the deflection between the two arms of the manometer is 12.4cm, determine the air velocity when the density of air is 1.25kgm-3 and the density of the water in the manometer is 1000kg/m3. I am not...

Again-- I'm not entirely sure if this goes to physics or engineering, but the word thing that comes in mind when I hear Bernoulli equation is PHYSICS, so I decided to post it here... Homework Statement So I have this hydraulic system...

Homework Statement Water is flowing from left to right through the system shown below. If the reading on the pressure gauge is 384 kPa, what is the power input from the pump? Ignore energy losses. Homework Equations Conservation of Mass (Q = vA) Bernoulli's Equation (Total Head = Elevation...

Homework Statement If wind blows at 35m/s over a house, what is the net force on the roof if its area is 240m^2 and is flat? Homework Equations P=F/A and P1 + 1/2pv^2 = constant The Attempt at a Solution I have no idea on how to find pressure, because if I sub it into P1 + 1/2pv^2 =...

Homework Statement I need to find the net force acting on a flat squared roof with area A while the wind is blowing outside at some velocity, v_1. Homework Equations Bernoulli's Equation: P_1+\frac{1}{2}\rho v_1^2+\rho gy_1= P_2+\frac{1}{2}\rho v_2^2+\rho gy_2 The Attempt at a...

Homework Statement In bernoulli's equation derivation, we use Work energy theorem, in which work done is taken as change in kinetic energy plus change in potential energy. But in mechanics, i have studied, Work energy theorem is simply change in kinetic energy. So, which is correct? Pls...

I have a venturi tube and downstream of it, there is a small secondary opening at the end of the throat. This is where the local vacuum is created as the velocity increases and the pressure decreases. This difference between this pressure and the atmospheric pressure will induce air into the...

[SOLVED] simple ODE problem, Bernoulli's Equation Homework Statement Initial value problem: Relation: t*y' - 2*[t^2]*sqrt(y) = 4*y Initial value: y(1) = 4 Homework Equations general form of Bernoulli's equation: y' + a(t)y = b(t)*[y^n] First order, linear ODE form: y'...

1. The density of the liquid flowing through the horizontal pipe in the drawing is 1200 kg/m3. The speed of the fluid at point A is 7.5 m/s while at point B it is 11 m/s. What is the difference in pressure, PB – PA, between points B and A? 2. Bernoulli's Equation P1 + 1/2 pv1^2 + pgy1 = P2 + 1/2...

Homework Statement Skill Level II Problem Use the Continuity equation to explain how jet engines provide a forward thrust for an airplane. Skill Level Problem III The Contintuity Equation is related to a powerful equation from fluid dynamics called Bernoulli's Equation. Do the research...

I'm not sure if this is the right place to post this (because it isn't homework), but it could easily be a homework question. This wiki page, http://en.wikipedia.org/wiki/Siphon#Explanation_using_Bernoulli.27s_equation", shows how to apply Bernoulli's equation to a siphon where both the surface...

Blood flow... Relating the Continuity of flow equation (A1v1 = A2v2) with Bernoulli's equation, with Poiseuille's equation. Continuity of flow equation tells us this: when the area decreases, the velocity increases in order to maintain a constant flow rate. Bernoulli's equation tells us...

Homework Statement Here is the problem, I am able to calculate the velocity, but I don't know where to go from there. A legendary Dutch boy saved Holland by plugging a hole in a dike with his finger, which is 1.10 cm in diameter. (a) If the hole was 2.40 m below the surface of the North...

Homework Statement The gauge pressure in a horizontal fire hose of diameter 5.4 cm is 3.0 x 105 Nm-2 and the speed of flow is 4.0 ms-1. The fire hose ends in a metal tip of diameter 2.5 cm. What are the pressure and the speed of the water in the tip? Homework Equations...

Homework Statement Consider a water pipe that tapers down from a diameter d_A = 5.0 cm at end A to a diameter d_B = 2.5 cm at end B. At each end a vertical pipe that is open to the air at the top is attached to the pipe. Assume that water flows through the pipe at high enough pressure that the...

Homework Statement A perfectly spherical golf ball with a specific gravity of 0.55 is dropped from a height of 10 m above the surface of a smooth lake. Determine the maximum depth to which the ball will sink. Neglect any frictional loses or energy transferred to the water during impact and...

Homework Statement Consider a spherical bubble of radius R,rising in water. Using Bernoulli's equation show that the rate of rise of the bubble is: U=(2/3) \sqrt(gR) Homework Equations Bernoulli Equation Potential Flow The Attempt at a Solution I have considered the...

ap physics student, on this for the first time The flow rate of water through a garden hose is 60 cm3/s, and the hose and nozzle have cross sectional areas of 5.1 cm2 and 1.6 cm2 respectively. (a) If the nozzle is held 11 cm above the spigot, what are the flow speeds through the spigot...

Homework Statement You have a tank that is on top of a 1 meter post. The tank is filled with water to an unknown height. At the bottom of the tank there is a 3.5mm hole that is squirting out water a horizontal distance of .6 meters. Homework Equations Bernoulli's equation p1...

Hello, I am having some difficulty in understanding the terms in Bernoulli's equation. Bernoulli's equation is given as follows: P + 0.5(rho)(V^2) + (rho)gh = constant (along a streamline) The first term (P) is the Static Pressure. The second term (0.5(rho)(V^2)) is the Dynamic...

Homework Statement The water supply of a building is fed through a main pipe 6.00cm in diameter. A 2.00cm diameter tap is located 2.00m above the main pipe. When the tap is turned on it fills a 25.0L container in 30.0s if no other taps are turned on at the same time. a) What is the speed at...

Homework Statement A very simplified schematic of the rain drainage system for a home is shown. Rain falling on the slanted roof runs off into gutter around the roof edge it then drains through downspouts into a main drainage pipe M below the basement which carries the water to an even larger...

I'm no good with fluid dynamics. I really am willing to improve can someone point me to what equation I should use for this question. I assume its bernoullis equation? I've drawn a diagram of how I see the pipe. To make things worse I haven't done fluids in quite a while. Homework...

why can't we use bernoulli's equation for high velocity flights ? what changes when air is compressed ? does density change ?

[SOLVED] Bernoulli's equation & U-Tube Homework Statement Air flows through this tube at a rate of 1200 cm^3/s . Assume that air is an ideal fluid. What is the height of mercury in the right side of the U-tube? Homework Equations Bernoulli's Equation (P1 + 1/2*rho*V1^2 +...

Hi guys, we use bernoulli's equation for inviscid flows, like water and gas. But for gases, we also have the ideal gas law, let's say if i want to calculate energy within a gasous system, like a gas in a fixed space (e.g. a room; a tank etc...) Looking at ideal gas law, PV=mRT, PV will give...

Water flows through a 0.30m radius pipe at the rate of 0.20m^2/s. The pressure in the pipe is atmospheric. The pipe slants downhill and feeds into a second pipe with a radius of 0.15m, positioned 0.60m lower. What is the gauge pressure in the second pipe? So, what I've figured from the...

Before I describe the problem, I would like to apologize for my lack of comprehension of this subject. It is the first semester of Physics, but the end, and has become quite complicated. Homework Statement There is a 2.0 L soda bottle used, with a hole a certain height (hhole) from the...

A fountain shoots a vertical jet of water at a rate of 0.33 L/s to a height of 1.6m. What is the initial speed of the jet and what is the radius of the hole out of which the jet passes? What pressure must the pump of the fountain supply? (Assuming that it sits just below the emerging jet). At...

Homework Statement A cylindrical bucket of liquid (density ρ) is rotated about its symmetry axis, which is vertical. If the angular velocity is ω, show that the pressure at a distance r from the rotation axis is P = P_0 + \frac{1}{2} \rho \omega^2 r^2 where P0 is the pressure at r = 0...

Homework Statement Water flows at 0.61 m/s through a 3.0 cm diameter hose that terminates in a 0.30 cm diameter nozzle. Assume laminar non-viscous steady-state flow. (a) At what speed does the water pass through the nozzle? (Correctly solved to be 61 m/s). (b) If the pump at one end of...

Homework Statement An incompressible fluid is flowing through a vertical pipe with a constriction. The wide section is 2.00 cm in diameter and is at the top of the pipe. The pressure of the fluid in the wide section at the top is 200 kPa. The velocity of the fluid in the wide section is 4.00...

Homework Statement What is the lift (in Newtons) due to Bernoulli's principle on a wing of area...m^2 if the air passes over the top and bottom surfaces at speeds of ...m/sand ...m/s, respectively? I've given the values but I just want to know if I'm doing the problem right conceptually...

A fire hose must be able to shoot water to the top of a building 35.0 m tall when aimed straight up. Water enters this hose at a steady rate of 0.500 m3/s and shoots out of a round nozzle. i) What is the maximum diameter this nozzle can have? ii) If the only nozzle available has a diameter...

Homework Statement Using the data of Example 10-11, calculate the average speed of blood flow in the major arteries of the body, which have a total cross-sectional area of about 2.0cm2 Homework Equations well... Actually, I don't know how to solve this problem. The Example 10-11...

Homework Statement The figure below shows a stream of water in a steady flow from a kitchen faucet. At the faucet the diameter of the stream is 1.20 cm. The stream fills a 125 cm3 container in 18.2 s. Find the diameter of the stream 13.0 cm below the opening of the faucet. (The answer should...

My mind is struggling trying to understand how a decrease in pressure can increase the velocity and vise versa for a fluid that is flowing through a tube of some kind. I've always thought that if you increase the amount of pressure then the velocity should also increase. It appears that they...

Hey, Here's something that confuses me with the Hagen–Poiseuille equation and the Bernoulli's equation. From the Hagen–Poiseuille equation and in general, fluid will tend to flow from high to low pressure. From Bernoulli's equation pressure is a function of cross-sectional area and...

Homework Statement An open can is completely filled with water, to a depth of 20.6 cm. A hole is punched in the can at a height of 1.7 cm from the bottom of the can. Bernoulli's equation can be used to derive the following formula for the speed of the water flowing from the hole. In...

Hi, Hopefully a very simple question for someone that knows; We know from Bernoulli's principle that an area of high velocity creates an area of low pressure and vice versa. My question is how is this created? Thanks

Homework Statement A venturi meter is a device for measuring the speed of a fluid within a pipe. The drawing shows a gas flowing at a speed v2 through a horizontal section of pipe whose cross-sectional area A2 = 0.0600 m2. The gas has a density of ρ = 1.60 kg/m3. The Venturi meter has a...

Homework Statement Water moves through a constricted pipe in steady, ideal flow. At one point, where the pressure is 2.50*10^4 Pa, the diameter is 8.0 cm. At another point .5 Meters higher, the pressure is equal to 1.50*10^4 Pa and the diameter is 4.0cm. Find the speed of flow at the lower...

Homework Statement Water flowing out of a 15.0mm -diameter faucet fills a 1.50 L bottle in 5.00s. At what distance below the faucet has the water stream narrowed to 10 mm in diameter? Homework Equations Bernoulli's equation: P_1+pgh+1/2pv^2=constant Q(volume flow rate)=vA Continuity...

Homework Statement The water tower in the drawing is drained by a pipe that extends to the ground. The flow is nonviscous. (b) What is the absolute pressure at point 1 when the valve is opened and the water is flowing? Assume that the water speed at point 2 is negligible...

[Two circular holes, one larger than the other, are cut in the side of a large water tank whose top is open to the atmosphere. Hole 1 is the larger hole, and hole 2 is the smaller hole. The center of one of these holes is located 6.61 times as far beneath the surface of the water as the other...