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...
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...
Does anyone know which formula is used or how to arrive at the righthand side of the equation below, which is the dot product of del and rho*a 2nd order tensor(V V).
. represents dot product
and X a vector quantity
This problem is in connection with transforming cauchy's equation in terms of...
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
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...
QUESTION:
In general: when a flow is considered steady does that mean all properties of the flow are steady?
Or: can a flow have steady and unsteady properties?
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...
What is physical interpretation of velocity potential? Is a conservative quantity, i.e, line integral of velocity potential around a closed loop is zero>
I've come across two different approaches to quantifying what l is in the equation for hydraulic gradient Δh/L. In this first picture L is the parallel distance along the datum across the reference plane
But in this second picture L is the length along the pipe
Why are the two L's...
I've read that drag coefficient depends on the shape of the object but I am confused as to what shape means. Does it mean geometric shape or is area included in that? Say I have one sphere of radius r and keep fluid velocity, density, and viscosity constant and find its drag coefficient. Would...
This question arose as I was studying mathematical modeling in fluid mechanics. It was posted to math.stackexchange, but there a was a lack of response, probably due to the applied nature of the problem.
One form of the Buckingham Pi Theorem says that for nn variables with kk dimensions, the...
Homework Statement
Posted in picture below
Homework Equations
Bernoulli's Equation
P/pg + v1^2/2g + z1 = P/pg + v2^2/pg + z2
The Attempt at a Solution
Posted in picture below
Wasn't sure if what I did was correct...still practising the topic itself
< Mentor Note -- please remember to use the Homework Help Template when posting schoolwork questions >
Consider the fully developed laminar flow due to gravity of water in a vertical circular tube. Assume atmospheric pressure at inlet and outlet. Show that the relationship between diameter and...
Homework Statement
Gate AB in Fig. P2.62 is 15 ft long and 8 ft wide into the paper and is hinged at B with a stop at A. The water is at 20°C. The gate is 1-in-thick steel, SG =7.85. Compute the water level h for which the gate will start to fail.
Homework Equations
F = δhcgA
Ycp =...
Hi, can anyone tell me where this "shaft torque" is coming? What is causing this torque?
Screenshot is from Fundamentals of Fluid Mechanics by Munsun.
http://postimg.org/image/3zilpmzbv/
Thank you.
Homework Statement
This is an optional question given to Fluid mechanic students to work on for leisure.
P = power
ρ = fluid density, rho
ω= angular velocity omega
μ= dynamic viscosity, mu
D= diameter
Homework Equations
Show the that the power required to rotate the disc is given by...
Homework Statement
A U-shaped tube of uniform section "S" has one extreme closed and the other one open to the atmosphere. The tube contains mercury (M) in the central part, a gas (G) to the left that exerts a pressure "p" and a column of water (W) of height h_w to the right. Then, a mass "m"...
Hey Guys,
i have a system that I'm pumping with water/ saline. as illustrated below.
At the inflow i hooked up a pressure gage to my pump and read 120mmHg (closed system), and at the outflow I am reading 400ml/min ( I did this by disconnecting the system and timed filling a beaker). I'm trying...
Viscoelasticity is a property of a material that exibits both viscous and elastic properties..
When under load,within elastic limit,steel offers resistance to deformation (viscous) and regains shape after removal of load..So is it right to say steel is VISCOELASTIC in elastic limit?
whats turbulent viscocity?How it different from viscocity?Also i read that viscocity is fluid property.So has flow condition like laminar or turbulent has any effect on viscocity?
Homework Statement
A seaplane flies at 100 mph through air at 45 *F. At what distance from the leading edge of the underside of the fuselage does the boundary layer transition to turbulence?
Homework Equations
Re = pvL/u
Re is Reynolds number
p (rho) is the density
V is the characteristic...
Homework Statement
Water is flowing upwards through a vertical pipe. When a manometer is attached to the
pipe in the manner shown in the diagram, the manometer fluid (mercury) is displaced by 10
cm as illustrated.
Ignore friction in the pipe.
(i) Express the pressure at point (1a) in terms of...
Hello!
A two-dimensional beam of thickness S and velocity c (evenly distributed at the thickness) falls in stationary plate and get separated. Calculate the ratio of thicknesses S1/S2 as a function of the angle φ.
(see attachment)In my notes there is this solution:
Continuity equation:
Let...
Assuming a flow can be idealised as incompressible, then can you use the constant pressure assumption ?
I just want to get my understanding clear. My problem is the following.Consider a fluid element with volume ##V## and a fixed number of molecules. If the flow is incompressible, then the...
Greetings, PF! I have some questions regarding the problem I attached below. It is some sort of Couette flow variation. It's not homework, I'm just learning the basics of TP on my own. I fully solved the problem with the Navier-Stokes and continuity equations, using some assumptions in order to...
I need to measure the density of aqueous microdroplets in oil. My first idea was to obtain a set volume of the droplet-in-oil mixture and weigh it to obtain the density, weigh the same volume of oil without droplets, then estimate the volume of the droplets so I can work out their density...
Hello! My name is Josh Currently going into third year physics. My university does not offer a single course involving fluids except the most basic intro to bernoulli's equation. So, I thought I would make it my own project for the summer to learn some fundamentals.
I was wondering if anyone...
Homework Statement
The water in the bottom tank (position 1) is pumped into!the!roof tank (position 2) through a long pipe (containing two elbows a and b separated by 1 meter) which discharges freely at a height 50 cm above the liquid surface in the upper tank. To fill up the upper water tank...
I am designing a system for an engineering project at school. It's essentially a clock to be powered by water turning a mechanical system of gears (not generating electricity).
Imagine a rectangular basin full of water placed at some height above the ground. There is a hole in the bottom...
I am trying to establish a mathematical relationship between heights h1 and h2 (please refer to figure attached) for a manometer whose RHS channel is the shape of a triangle (defined by a base length and the angle theta). I want to be able to calculate the heights h1 and h2 for a given change to...
Homework Statement
Homework Equations
ρ=789, μ=.0012
The Attempt at a Solution
From the energy equation we get hf=0.9
We know that hf=f(L/D)(V^2)/(2g)
[sorry don't know how to use latex after they removed the bar on the right]
Now I can substitute V for Q, but I'm stuck with f and Q as...
I am just starting on this subject and I am trying to get a feeling for the concepts. One thing that confuses me a lot is the idea of an advective acceleration. We have that the rate of change of the velocity in a fluid is given by the material time derivative:
Dv/Dt = ∂v/∂t + (v⋅∇)v
Now in...
*Suggestions for Water Production for California.*
California is still in the midst of a huge drought:
Annie Sneed Science 03.23.15 7:00 am
California’s About to Run Out of Water. We Have to Act Now.
http://www.wired.com/2015/03/californias-run-water-act-now/
There appear to be however...
Hi all,
I have really a confusion between subsonic and supersonic speed evolution when the area decrease or increase
I have a problem to understand why in supersonic regime the velocity evolution in a nozzle is adverse of the subsonic regime?
for example in subsonic regime, when the area...
Homework Statement
A cube of ice is floating in water such that some part of the ice is submerged. Oil is poured on the water.( so water on the bottom, oil on top and ice in between). When the ice melts completely, the level of oil-water interface ______(rises/falls) and the top level of oil...
Homework Statement
A glass full of water has a bottom of area 20 cm 2 , top of area 20 cm 2 , height 20 cm and volume half a litre.
(a) Find the force exerted by the water on the bottom. (b) Considering the equilibrium of the water, find the
resultant force exerted by the sides of the glass on...
Hello, everyone, please forgive me for my poor English.
I'm a sophomore, major in Astronomy. I've finished Hassani's book(Mathematical Physics). And I've learned Real variable function and functional analysis (I do not know what exact name of this course)
I'd like to buy a textbook with...
Hey all, I am having trouble getting to the answer of the attached file below. It would be appreciated if anyone had some tips on getting to the answer.
As I've been reading up on fluid mechanics recently, I've discovered several different molecular models which attempt to explain heterogeneous fluid flow from a molecular level. Classical fluid mechanics assumes that hard body approximation- that atoms are hard spheres knocking into each other...
Consider a partially filled bottle of water. When it's tipped over and rotating about its pivot point where its edge touches the ground, it has an angular acceleration. Assuming the liquid is not viscous at all, so flows perfectly, at a given instant can it be considered to have a moment of...
Any thoughts on this book? I'm interested in a fluid mech book for physicists, this one looks good but I can't find any reviews on it. You can suggest other books as well, as long as they have available new editions.
Homework Statement
By How much does the pressure in a cylinderical jet of water 4mm in diameter exceed the pressure of the surrounding atmosphere if the surface tension of water is 0.0718 N/M?
Homework EquationsThe Attempt at a Solution
ΔP= σ/r=0.0718/2*10^-3 , This is the answer I have but I...
Hi, everyone.
I am learning fluid mechanics. One book says that for a infinitesimal fluid cell, surface force includes
1) the pressure, which is imposed by the outside fluids surrounding the concerned fluid cell
2) the shear and normal stress, which result in shear deformation and volume...
The scenario involves dropping something into a bucket of water. I'm trying to do an experiment where I have to figure out a relationship between the amount of water that leaves the bucket and a certain variable of the object that is dropped.
I'm wondering what could maximize the water that...
Homework Statement
Homework Equations
Navier-Stokes
The Attempt at a Solution
Not really trying to solve a problem, trying to understand what is going on in my textbook. So look at the stuff in red first. I see where all that is coming from, it's clear to me. However, the stuff in green...
I am doing a lab report and it is to do with compressible flow through rotameters. An upstream and downstream rotameter to measure flow rate with a needle valve between the two. The needle valve acts as a fixed orifice in one part of the experiment. Then the inlet pressure is altered.
Plotting...
Hi,
I am doing an introductory course on fluid mechanics, and I'd like some intuition (that's why I'm posting on the engineering forums and not on the math forums, even if I'm studying for a degree in math) about the concept of the total derivative and, particularly, its convective component...
Homework Statement
Homework Equations
Fluid Mechanics
The Attempt at a Solution
Lets start with the easy part:
The pressure of the air is constant so the pressure will act as if it's a concentrated force on the center of gravity of the gate.
F = PA = (10,000Pa)(.3)(.6)=1800N
The moment...