Homework Statement
A rectangular plate AB is 1.8 [m] wide and 2.0 [m] long. As shown below the plate is used to keep water (blue region) confined to the region. Find the weight of the gate necessary to keep the water enclosed. Assume the hinge at A is frictionless.
Homework EquationsThe...
I'm not really sure where to post this. I saw that this Homework section exists even for technically non-homework (I'm designing a machine at work, but the problem is homework-esque and my fluid dynamics knowledge is rusty at best). I'm not sure if this introductory or advanced, and the template...
1. Air at 0∘C flows through the tube shown in the figure. Assume that air is an ideal fluid. What is the air speed v1 at point 1?2. Formulas: A1V1=A2V2, ΔP + 1/2ρΔV2, ρgΔh3. My first through process was to calculate the change in pressure in the mercury as the change in pressure in the...
Homework Statement
what's the difference between zs and hc ? in the pictuire , they are both drawn from the bottom of water to the free surface ...
Homework EquationsThe Attempt at a Solution [/B]
So I've always thought that an increase in velocity of a fluid would decrease pressure. However, I've heard the opposite and that it is an decrease in pressure that increases velocity. All I want to know which one is correct (in terms of something like a venturi pipe) because an decreasing...
Homework Statement
Since this scanned notes is not clear enough , so I retype some parts of the notes,
The enthalphy , h is given by the formula , h = u +Pv = u + P/ ρI want to ask about the total energy of the flowing fluid , which is given by the formula =
P/ ρ + e = h + ke +pe = h + (V^2)...
Aside from solids, are any of the known states of matter (exotic or otherwise) considered to not be fluids?
As a side note, I'd like to appologize in advance if this turns out to be posted under the wrong category of physics, I could not tell which category this would fall under and this seemed...
Homework Statement
I took a stab at the following question in a book:
"In one observation, the column in a mercury barometer has a
measured height h of 740.35 mm.The tem-
perature is -5.0 C, at which temperature the density of mercury r is
1.3608 10^4 kg/m^3 .The free-fall acceleration g at...
Homework Statement
Two cylinders of base area 4cm2 hold fluid of density 1.30(103). In one the fluid has height .854 and the other has height 1.560. They are then joined and the fluids equalize in height--find the work done by gravity on the fluid.
Homework Equations
A version of...
for static fluids we have studied that p=patm +density*g*depth.
and this equation is derived from Newton's laws,but in fbd why didn't we consider the force exerted by curved surface area of container,it doesn't cancel out when containers are in frustrum shape.and the vertical components add up...
Homework Statement
Consider the flow of a fluid with viscosity μ through a circular pipe. The velocity profile in the pipe is given as U(r)=Umax(1-rn/Rn), where Umax is the maximum flow velocity which occurs at the center line; r is the radial distance from the centerline; and U(r) is the flow...
Homework Statement
In the attached file.
Homework Equations
P1/rhoe+v1^2/2+gh1=P2/rhoe+v2^2/2+gh2
The Attempt at a Solution
I do not know how to begin it; however, I think part(iii) is the same as part (iv)[/B]
i want to calculate the force of a water jet
i know the velocity,13,6m/s
mass or volume/s=52,6kg or dm3/s
the pipe has an area of 2,3dm
and the gained area by flying out the pipe is 3,4dm
i want to know the force it creates by hitting for example a way, how do i calculate that
Is it similar to the Newton's cradle principle?
This is fluid mechanics/control volumes. There is fluid flowing through a duct and it's being analysed using a control volume surrounding the duct
For example in this question the atmospheric pressure is having an affect on the fluid within the...
Hi everybody, I now encounter some problems when try to solve this:
Problem statement: Calculate the work done to blow a soap bubble to radius R. Knowing that the process is isotherm, the atmospheric pressure is H, the surface tension is γ.
Solution:
$$A = A_{1}+A_{2}$$
In which A1 is the work...
Hi! I'm would like to ask if there's any open source available for FE/Fluid analysis?
I'm planning to use it to simulate icing and melting process in a ice storage based on different geometry.Its something like a fridge with coolant ect. I would like to simulate the icing and melting process...
I was going through a worked example in book "Concepts in Thermal Physics" by S.J. Blundell and K.M.Blundell. The example talks about measuring viscosity of a gas between two coaxial cylinders.
Homework Statement
Two vertical coaxial cylinders. Outer cylinders is rotated by a motor at constant...
I know that the circulation is defined as the counter clock wise integral around the closed curve of the flow velocity component along the curve but what is its meaning in real life? I mean what does circulation actually refer to in real life? Also could someone explain the above image? What is...
Consider a case- Force excerted on a stationary flat plate held normal to the jet.
The Jet strikes on plate (see fig.) Which is smooth hence the exit velococity of jet = entering velocity of jet.
According to theory. The fore is applied on plate due to change in momentum of jet.
But my doubt...
Can a large body of electrolyte be used for ground? For example, if we placed an insulated metal into the ocean. If it was charged, would the ocean water be treated as the other electrode in calculating it's capacitance?
Homework Statement
In ideal flow, a liquid of density 810 kg/m3 moves from a horizontal tube of radius 1.60 cm into a second horizontal tube of radius 0.800 cm at the same elevation as the first tube. The pressure differs by ΔP between the liquid in one tube and the liquid in the second tube...
Homework Statement
A line source of strength 2##\pi##m is located ##a## distance a above a horizontal plate. Find the force per unit width on the plate, ignoring gravity and taking the pressure below the plate to be uniform and equal to the stagnation pressure of the fluid. (You may nd the...
we use perfect fluid which is characterized by a energy density and isotropic pressure for general forms of matter.
When guessing the values of energy momentum tensor indices we can use the physical insight that they are the flux of four momentum in a constant surface of spacetime.
The...
1. The problem
A funnel is in the form of a cone of semi-angle alpha and is placed with its vertex downwards. It is filled with water to a depth H and then the water is allowed to flow out of the funnel through a small hole at the vertex. If the stream of water has a cross-section of area A...
Homework Statement
A hole is punched in a full milk carton, 10cm below the top. What's the initial velocity of outflow?
Homework Equations
P2 = P1 + ρgh
Conservation of energy of fluids: P2 + 1/2ρv22 + ρgy2 = P1 + 1/2ρv12 + ρgy1
The Attempt at a Solution
Set the top of the carton as P1, and...
Homework Statement
Water flows through a circular pipe with a 180° horizontal elbow and exits to the atmosphere through a nozzle as shown in Fig. Q3. The diameter of the pipe is 300 mm and the diameter of the nozzle exit is 160 mm. The density of water is 999 kg/m3 . The mass flow rate of...
When compressible effects are accounted for, viscosity should vary with temperature.
Doesn't this violate the concept of Newtonian fluids, where shear stress is linearly proportional to the strain rate?
In fluid dynamics, the total energy of a fluid can be given as:
Pressure energy + gravitational potential energy + KE
or
P + ρgh + ½ρ(v^2)
But I have also seen the expression
P - ρgh + ½ρ(v^2)
NOTE the minus sign in the second equation.
Which is correct? Why are both equations used
Thank you
Homework Statement
Basically, the goal of the "project" is to find the equation for oscillation of a "fractionless" fluid in a v-shaped tube, regarding the angle. I know how to solve the same problem regarding a u-shaped tube, but in this case, I can't figure out where to place the angle in the...
Hello,
When a fluid is flowing, it has of course a kinetic energy and thus we can define kinetic power equal to ρAv v is the velocity and A is the surface of a solid for example. I have a question (maybe it is a strange one) : When fluid collides with a solid, do all the molecules collide with...
I have come across the paper attached in which a 1D fluid piston is modeled.
I have question on the boundary conditions (BCs) of the system. Essentially, the problem consists of a fluid chamber in contact with a spring (a mass -spring system). ALE is used to move the mesh. I am not certain...
This is quite possibly very basic, but I have a horrible habit of forgetting basics as I move up the ladder in difficulty during the semester. This is a question regarding Thermodynamics, taken from Chapter 1; Introduction and the First Law of Thermodynamics of the book Applied Thermodynamics...
Homework Statement
Find velocity, acceleration, stream function and vorticity. Prove that velocity is equal to the acceleration. Functions given:
X_1(t,e_1,e_2)= (e^\lambda)^t[e_1cos\omega t+e_2sin(\omega t)]
X_2(t,e_1,e_2)= (e^-\lambda)^t[-e_1sin\omega t+e_2cos(\omega t)]
Homework Equations...
Hi All,
I'm hoping to work on deriving the governing fluid flow equations for a frisbee in flight theoretically and then to test it on a wind tunnel, and compare results. If u could please help on how do i apply/derive the necessary equations.
Respectful Regards
Homework Statement
a Flat rectangular door in a mine is submerged from one side in water. The door dimensions are 2m high, 1m wide and the water level is 1.5m higher than the top of the door. The door has two hinges on the vertical edge, 160mm from each corner and a sliding bolt on the other...
Homework Statement
A rectangular vertical plate is submerged in water. The top edge is horizontal and at a depth of 0.6m. The length of the vertical edge is 1.2m. determine at what dept under the water surface a horizontal line can be drawn on the plate such that the hydrostatic forces on...
Homework Statement
A tree loses water to the air by the process of transpiration at the rate of 110 g/h. This water is replaced by the upward flow of sap through vessels in the trunk.
If the trunk contains 1900 vessels, each 100 μm in diameter, what is the upward speed of the sap in each...
Homework Statement
The gauge pressure at the inlet of a horizontal venturi meter is 40kPa. The vacuum at the throat is 38 mm mercury. If a differential U-tube manometer containing mercury is the U-tube and the oil in the connecting tubes is connected to the venturi, what will the difference in...
Homework Statement
Perform a one-dimensional energy balance for the heating of a fluid through a hot pipe in order to develop a differential equation that governs the variation of the mean temperature of the fluid along the length pipe. The pipe has an inner diameter D and length L; its walls...
Homework Statement
A thin uniform circular tube is kept in a vertical plane. Equal volumes of (The liquids subtend a right angle at the centre) two non miscible liquids whose densities are a and b respectively fill half of the tube as shown. (The diagram depicts a>b) In equilibrium the radius...
I need help figuring out which formula to use to find what class lever I am using in a 10 ton log splitter circuit. The lever is 16 inches long and I am applying 100 pounds of force on the lever which is connected to a cylinder 5 inches in diameter, 24 inch stroke, and a 2 inch rod diameter. My...
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
Homework Statement
The attempt at a solution
Hi all, I am tasked with finding the static thrust generated by this convergent-divergent nozzle. The stagnation pressure is known the inlet.
Now, personally, I would've thought drawn a control volume around the entire nozzle. And then said...
Hi,
The following question is related to my individual design for an engineering subject.
I am trying to calculate the fluid displacement in a packed vessel when air is pulsed through a pulse leg, which is connected to the bottom of the vessel. Using equations from literature, I have...
Homework Statement
[/B]
"Derive a relation between the static pressure P at a point and its depth y from the free surface of the liquid. Given the surface density of liquid is ρο, and compressibility of the liquid is k."
Homework Equations
##ρ(P) = ρ_οe^{kP}##
##dP = ρg dy##
The Attempt at a...
1. Plot Px in horizontal direction about three quarters of cylndrical surface ABCD
Px: horizontal force in unit length
2. formula: P=ρgh3. my question:
①Why does Px point at the right?
③What does the blank mean? Because ABCD is only 3/4 of a circle...
A fluid with forced vortex flow and constant angular velocity is given. Newton's shearing says there must be strain due to differential linear velocity. The problem is, the difference of linear velocity is only visible to the external observer, the fluid particles themselves do not observe...
Homework Statement
What is the headspace pressure (air)?
Closed tank part filled with fluid under pressure, there are tubes that indicate the fluid level and pressure. The tube on the left is open to atmosphere.
fluid s.g. 1.2
x = 5m
y= 1.7m
Homework Equations
See below
The Attempt at a...
When a hole is made in the side of the container holding water, water flows out and follows a parabolic trajectory. If the container is dropped in free fall, what will happen to the water flow?
I think that the water flow will follow a similar trajectory..what effect can gravity have on it?
it...