Bernoulli Definition and 329 Threads

Homework Statement http://imgur.com/rhaQabj radius of watertank = 5.5cm Homework Equations https://en.wikipedia.org/wiki/Bernoulli's_principle https://en.wikipedia.org/wiki/Darcy%E2%80%93Weisbach_equation The Attempt at a Solution I've tried to put up to equations on the form...

Homework Statement Hi everybody! Here is a classical Bernoulli problem, which I'd like you to review to check if I (finally!) make a proper use of Bernoulli's equation! A gardener waters a bush with the help of a watering can (see attached pic). The water level in the can lays at height H =...

In the example, is it possible to have same velocities at the two ends of the tube? How would you construct energy conversation equation?

Homework Statement Hi everybody! I'm back with another Bernoulli problem :) A reservoir with constant pressure P = 105 Pa releases through a tube water (density ρ = 1 g/cm3) with the velocity v = 4 m⋅s-1. That tube is then connected to another perpendicular tube (area A = 0.1 m2, height h =...

What i know is that the Bernoulli equation is applied only along a streamline. Is it correct to say that eductors work on the Bernoulli equation?

Hi everybody! I'm training for an upcoming exam, and I'd like to know if I correctly use the Bernoulli equation. Homework Statement The problem is kind of difficult to describe without a drawing, please check out the attached jpg to see the situation and the known data. The questions are: a)...

Homework Statement This is a lab that we have to design and carry out that goes above and beyond our course. I am investigating how the diameter of a hole in a bowl affects its sink time when put in a larger bowl of water (saxon bowl, or sinking bowl as they are known.) I will have to plot them...

Homework Statement The BCH formula states that the product of two exponentials of non commuting operators can be combined into a single exponential involving commutators of these operators. One may write that ##\ln(e^A e^B) = \sum_{n \geq 1} c_n(A,B)## where $$c_{n+1} = \frac{1}{n+1} \left(...

Hello! I have encountered some trouble with choosing the right reference points when using Bernoulli's equation and I would be glad if you could help me sort it out with this made up example. :) 1. Homework Statement There is a large, open, cylindrical water tank with a cross section area of...

Homework Statement Water flows from the faucet on the first floor of the building shown in the figure with a maximum velocity of 20 ft/s. For steady inviscid flow, determine the maximum water velocity from the basement faucet and from the faucet on the second floor. Assume each floor is 12 ft...

Homework Statement It is time for aged physics lecturers to have their flu shots but even that can be interesting. Assume the density of the vaccine in the syringe is the same as the density of water. The diameter of the syringe is 6mm, the length of the needle is 3cm and by reading the packet...

I am trying to come up with a mathematical model so that, when the displacement of the plunger of a syringe is know, I can calculate the amount of a specific liquid in the barrel. Or the relationship between the speed of the plunger and flow rate at the tip of the needle (Again assuming that the...

Homework Statement : River Pascal with a volume flow rate of 4.8×105L/s joins with River Archimedes, which carries 1.04×106L/s , to form the Bernoulli River. The Bernoulli River is 190 m wide and 20 m deep.[/B]Homework Equations : What is the speed of the water in the Bernoulli River? Express...

Hi. First post so I hope I have the correct thread location. I am reverse engineering a 40+ year old vertical slide carburettor design i.e. the venturi is horizontal. The current spray nozzle protudes vertically into the airflow but is straight sided and flat across the exit. Option 1...

"Let X be a Bernoulli random variable. That is, P(X = 1) = p and P(X = 0) = 1 − p. Then E(X) = 1 × p + 0 × (1 − p) = p. Why does this definition make sense? By the law of large numbers, in n independent Bernoulli trials where n is very large, the fraction of 1’s is very close to p, and the...

Homework Statement Derive the bernoulli binomial distribution by generalizing the probability of a coin flip. ## P(k, n) = \binom{n}{k}p^{k}q^{(n-k)} ##, q = p - 1 Homework Equations Combination: ## \binom{n}{k} = \frac {n!} {k!(n-k)!} ## Prob. of coin flip: ## \frac {\binom{n}{k}} {2^n}...

Hi i need a examples of beginning of bernoulli, i will do a presentation of this, i need a original example (object, which have to be a utility in our lives) of Bernoulli, my classmates, they already have a other examples like, aircraft, sailing, atomizer. So i need other one, easy to explain...

Hello, Bernoulli principle describes the flow of a fluid for steady, incompressible flow along a streamline. But it is said for a particle of a fluid along a streamline. My question is a particle of fluid refers to a molecule or a group of molecules? Thank you

(This is more of a conceptual question than a real homework question; thank you all so much for your help though!) :D 1. Homework Statement Let's say that I have a large soda bottle. I drill a small hole through the side of it, put my finger over it to seal the hole, and fill the bottle up...

Homework Statement Observe a Cauchy problem \begin{cases}y' + p(x)y =q(x)y^n\\ y(x_0) = y_0\end{cases} Assume ##p(x), q(x)## are continuous for some ##(a,b)\subseteq\mathbb{R}## Verify the equation has a solution and determine the condition for there to be exactly one solution. Homework...

Dear Everyone, I need someone to check the solution, The question identity and then solve, The Equation is Bernoulli To Solve: $(ye^{-2x}+y^3)dx-e^{-2x}dy=0$ $\frac{1}{dx}(ye^{x}+y^3)dx=\frac{1}{dx}(e^{2x}dy)$ $ye^{-2x}+y^3=e^{-2x}\d{y}{x}$ $e^{-2x}y^{\prime}-ye^{-2x}=y^3$ Let...

This is a diagram of a pitot-static tube. My question is however not related to its applications but rather, what causes the liquid to rise up the static tube? The static tube is at right angles to the fluid flow. I understand that this is a very basic question but I can't seem to get my head...

Does diameter reduction on the pressure side shortly after the pump induces overexertion of the impeller? This is the setup: suction line: 8" - length: 20' ; high pressure centrifugal pump powered by a engine at approx. 2000 rpm ; pressure line: 6" at a length of 18" directly followed by a...

Some days ago I got confused trying to solve an exercise about fluid dynamics. Trying to simplify the problem here is a similar situation: I have a cistern connected to a tube containing a fluid as shown in the picture below. Assumming that the fluid is incompressible... I know from the law...

I have a container with one inlet and one outlet. I have the area of the inlet, Ai, velocity vi of the air coming in, and mass flow mi (assume a plane with an air inlet to a bay). I don't know anything about the outlet (just that there is one). What I need to do is calculate the size of an extra...

So I've found several instances in which Bernoulli and Conservation of momentum (in Reynolds transport theorem form) give different answers for the study of an inviscid fluid. Let's consider a simple situation as described in my diagram attached. Basically a tap/faucet is releasing fluid, which...

Homework Statement The Plimsoll line is a line marked on the side all ships that effectively indicates the safe maximum load the ship can carry in that type of water at that temperature.You have been asked to stand on the dock and collect the tickets of the passengers boarding a cruise ship...

Hi guys, I recently completed a fluid dynamics practical at Uni and submitted a report on it, however, I still have some burning questions which I need to be answered. Firstly, the data that we collected shows that as the flow rate in the duct increases, the pressure differential of the fan...

Homework Statement The photo below shows a stream of water in steady flow from a kitchen faucet. At the faucet, the diameter of the stream is 0.960 cm. The stream fills a 0.125cm3 container in 16.3 s. Find the diameter of the stream 13.0 cm below the opening of the faucet. Homework Equations...

< Mentor Note -- thread moved to HH from the technical math forums, so no HH Template is shown >[/color] I have no idea what I am doing wrong. Here is my problem: S(n) - the number of successes in 10 Bernoulli trials, each with probability 0.7 I am supposed to use normal approximation to...

Consider a beam with an upwards concentrated force applied to its center. This is equilibrated by a distributed downwards force. There are no displacement boundary conditions. I've tried approaching this with simple beam theory, but I can't get a complete answer (shear, moment, slope...

How to calculate how much flowrate from blower i can push water pool 2,75m*1,8m down by 1,25m in 1 sec? Note : Blower Pressure 0.03 bar - 0.035 bar There is an empty room above the water pool with dimension of 2.75m*1.8m*1.7m This process happen in a closed chamber...

Hey everyone ! I'm new here and found that this forum was very useful. Would really appreciate it if you could help me out with this problem ! Have been scratching my head for hours now :( Question: Thank you very very much once again !

Why does pressure decrease as velocity increases, I think it is because pressure is defined as particles hitting the edge of the medium so when velocity increases the particles hit the edge of the medium less but how?

I have trouble understanding why Stagnation Pressure equals Total Pressure when we apply Bernoullis theorem to a constriction. Two different scenarios Scenario 1.A pipe has pressure p_1 , its flow is velocity v_1 and a diameter a_1 ,it has no restriction along its length. Total Pressure Tp_1...

HEy what is uniform and non-uniform gravitational field...

I'm designing a testing unit where I need to estimate the smallest diameter of a short complex pipe (around 1 meter, three bends and some diameter viariations). Since the pipe is being cooled down in a water bath after production, my idea is to force water with a known pressure in one end of the...

I have a few questions related to downforce in cars. Please forgive any fundamental misunderstanding of aerodynamics. Does the shape of a car, say a Volkswagen Golf, driving on a road produce lift or downforce? Is the Coanda Effect at play there? How does the height of the car above the ground...

OK, So I have been having an on and off debate with my family about this. I saw a pump at Home Depot that said it has a 30 ft head. Then it went on to show that the flow rate varied as the output of the pump changed in height. Now I thought that this was wrong. I just finished a course in...

It's just a simple question. How does the height effect the other values if the height increases or decreases. What happens when the height increases and what happens when the height decreases?

Homework Statement This problem pertains to the drinking straw trick. You decide to place your finger over a 20.0cm straw. 95.0% of the straw is filled with water, while the top is full of air. Treating the straw as an ideal gas, compute fraction of the straw that is filled with water when the...

What happens when you have more than one hole in a vessel containing liquid? Can you help me finding the velocities at different holes if they are at some height from level of liquid at a particular instant? I know what happens when you put a small hole in a tank containing liquid at a height h...

Homework Statement There is an air-tight 1L Canister filled with 90% water and 10% N2O. This canister is attached to some clear tubing which is not entirely air-tight. At the end of this tubing are some tungsten particles averaging ~1µm in diameter with total mass of 60mg. The contraption is...

Why is the water level in the object above the water level of the current? How to apply Bernoulli equation in this case?

Homework Statement : There is tank with a certain depth with water that is exposed to air. There is a hole at the bottom of the tank. Using Bernoulli's equation, we can find the efflux speed. density of the water * gravity * depth = 1/2density of water * velocity ^2. This will give us the...

I have been trying to fully understand this concept of Bernoulli's Principle , the Venturi effect and fluid velocity and energy. I need to grasp this to develop an idea that I have been working on. 1. As water is forced down a narrowing pipe, as the pipe gets more narrow, it means it losses...

Homework Statement Daphne goes to the kitchen for a glass of water. She turns on the faucet so the stream of water is laminar flow. She notes that the diameter of the water steam decreases with distance below the faucet assuming that the water exits the faucet of diameter D with speeds v0...

Homework Statement Find the general solution: y'-3y=(y^2) Homework EquationsThe Attempt at a Solution divide both sides by y^2 y'(y^-2) -3(y^-1) = 1 we know v=y^(n-1) v=y^-1 v'=d/dx(y^-1) v'=-(y^-2) y' plug it back into y'(y^-2) -3(y^-1) = 1 -v'-3v=1 this is where I think I am making a...

Homework Statement Homework Equations P1+pV12/2+pgh1=P2+pV22/2+pgh2 The Attempt at a Solution My thinking: since the pitot tubes measure the stagnation pressure (static + dynamics pressure) and the height of the tubes are the same. By Bernoulli's equation, the total pressure along a...

If \(Y = -X\) and \(X\sim Ber(1/4)\), then what is Y? I know that \[ X\sim \begin{cases} 1 - p, & x = 0\\ p, & x = 1 \end{cases} \] where \(p = 0.25\) in this case. What is the negative of \(X\) though. It doesn't make any sense making the probabilities negative.