The pressure coefficient is a dimensionless number which describes the relative pressures throughout a flow field in fluid dynamics. The pressure coefficient is used in aerodynamics and hydrodynamics. Every point in a fluid flow field has its own unique pressure coefficient,
C
p
{\displaystyle C_{p}}
.
In many situations in aerodynamics and hydrodynamics, the pressure coefficient at a point near a body is independent of body size. Consequently, an engineering model can be tested in a wind tunnel or water tunnel, pressure coefficients can be determined at critical locations around the model, and these pressure coefficients can be used with confidence to predict the fluid pressure at those critical locations around a full-size aircraft or boat.
For a steady, non-viscous and incompressible flow, one can apply both Bernoulli's principle (no potentials) as
$$p+\frac{\rho v^2}{2} = p_t$$
where ##p##, ##\rho,##, ##v##, and ##p_t## are static pressure, density, flow velocity, and total pressure, respectively,
and continuitiy principle as...
Assume the jet is straight but the radius of the jet varies over it's length (like a jet of water falling which narrows due to gravitational acceleration). Also ignore viscosity. A pressure gradient would be required to accelerate the fluid radially. Because during an expansion transformation...
Letβs say we have a unit volume of some fluid in a column on the Earth surface. Let ##\mathbf F## be the gravitational force that acts on the unit volume of the fluid.
Consider a small volume element ##\Delta \tau## in the fluid and letβs assume it to be a cuboid with dimensions ##\Delta x##...
I have collected velocity data for a 3-D grid of test section of a low speed wind tunnel.I have tested airfoils for pressure distribution in the same test section for similar free stream conditions. How do I calculate the impact of flow quality in the test section on the test results of pressure...
Homework Statement
The figure below shows a metal object (2) hanging by a thin cord from a floating wooden block (1). The wood block has a SG of 0.3 and dimensions of 50mm x 50mm x 10mm. The metal part as a volume of 6600m^3. Find the mass of the metal part and the tension in the cord. Work in...
Hello,
in some exam questions I've looked at it is stated that the pressure distribution is hydrostatic, even though there is fluid motion. (In these cases the velocity has been constant over the section where the pressure is said to be hydrostatic). Is it really possible to assume that the...
Consider a hypothetical pipe of length L and diameter d with both end closed. The pipe is filled with a some fluid. Let there be a ultrasound source of frequency f=v/2L at one end of the pipe and a sensor to measure pressure at the other end of the pipe, where v is the speed of ultrasound wave...
I am currently new in this forum and just a senior high graduate, so pardon me if I have some errors in writing this questions.
I have a cylindrical pressure chamber with approximately 80 cm in diameter and the length of 1.5 m and metal wall 1 cm in thickness. I know most pressure chamber have...
Rather than going off topic in a thread about inviscid fluid in a pipe, I decided to start a new thread.
For this thread, I'm wondering about the effect of a ducted propeller operating in the air. Using this NASA article as a guide:
https://www.grc.nasa.gov/WWW/K-12/airplane/propanl.html
The...
Hello,
We are an importer of SCUBA diving equipment and are building a pool. I see multiple formulas and opinions, I'm hoping for a KISS answer. Although I don't think Width or length has anything to do with my question, we are building a deep shaft pool that will be 25'Wx35'Lx88'D. What is the...
If you have a cooker with a volume of 3000 cm^3, then you add 200 ml of water, and let it turn into vapor at 100 C over time, how would you calculate the pressure at any point during the evaporation? It's not homework, just an example so you get what I am saying.
I'm trying to figure out why my back hurts when I sleep and I can't figure out the physics behind it.
So I sleep on an air mattress. The mattress fits firmly into the frame, which puts a constraint on the mattress to where it cannot expand on it's sides. Think of the mattress as being in a box...
Hi all,
I am analysing the flow of water in a subsea pipe, and have been getting stuck in trying to solve the energy equation to plot a temperature distribution across the pipe diameter
I have derived the equation as such seen in my attachement. But my main question is how should/would I...
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
Hi all,
I am designing an artificial rain system and was thinking about using http://www.dannermfg.com/Store/Products/Danner/PID-02720.aspx to power it. The goal of the system is to deliver roughly 1 gallon of water per hour to each of the 8 exit points (I will measure this by using a bucket...
Hey all,
So I have a small convergent nozzle that I'm modelling in Abaqus and I'm wondering how I could work out the pressure distribution so I can apply the correct load. The problem is I only know the pressure being fed to it by air compressor. Is there a way to use Bernoulli s or some other...
Hi, even though it seems so simple; I can't solve this since a few days and it's driving me crazy.
Flow gets inside the tube from point 1, it will create a vacuum, which will let a secondary flow inlet from point 2. Both flows will mix inside the tube, and get out of the junction from point...
Considering a unit mass of an ideal gas in a cylindrical container of volume 'V' at temperature 'T' the pressure exerted by the gas at the walls of the container is given by the ideal gas equation as,
pV=RT where 'R' is the characteristic gas constant for the particular gas.
Under equilibrium...
Homework Statement
Using Darcyβs law, plus another appropriate relationship, derive a
single equation for the pressure distribution in a porous material. Your equation should be stated in
terms of generic operators (i.e. without assuming any specific coordinate system) and allow for the
fact...
Suppose there is a square box with an ideal gas inside at standard temperature and pressure. Now one side of the box is heated up while the other opposite side remains at room temperature (assume a large heat sink). It is clear the temperature distribution of the gas inside the chamber will...
Calculate the velocity and pressure distributions in a laminar steady incompressible flow of a Newtonian liquid caused by rotation, with a constant angular velocity w(omega), of a vertical cylinder of radius R in a large bodyof liquid subjected to gravitational acceleration
Hi,
Please do not shout at me if you find this query posted on another thread; I am spreading my net wide.
I am investigating the overhang beam pressure distribution when part of the beam is resting on an elastic foundation. We are all aware of the assumption that when a moment is reacted...
Homework Statement
Develop a source-panel computer program to numerically calculate the potential flow pressure distribution on a right circular cylinder with and without circulation.
1.) Tabulate and plot your numerical results for the pressure coefficient distribution on the cylinder...
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I have calculated the pressure distribution over a 2D porous material with the finite difference method. However, now I want to calculate the velocity field or streamlines of the air flowing through this porous material from my pressure distribution. I have thus the pressure value on each...
Hi,
I am currently studying the internal structure of the sun and I was wondering if there exists scientific information regarding the pressure distribution along a hypothetical line from the core to the, letΒ΄s say, convection zone. You can find frequently in the internet that the pressure in...
I need help to determine the angle theta at each point of the surface so that i can apply numerical integration to get the lift and drag using the pressure distribution. How can I define theta?
I'm trying to obtain the drag force acting on a smooth cylinder at the exit plane of a wind tunnel. I took measurements of pressure at regular degree intervals around the cylinder.
The pressure readings are in inches of water, and I know the freestream velocity and the stagnation pressure...
Hi guys.
I want to model the pressure distribution in rolling process and convert the pressure distribution into equivalent nodal forces. How do I do it. Please guys it's urgent. Any links would also help.
Thanks
I have a centrifuge with hydraulic lines on the arm. I need to calculate the pressure that will be developed at the end of the centrifuge arm in the hydraulic lines.
The radius of the arm is 3 meters. At the end of the arm the G level will be 100g. Obvioulsy the g level at the center point...
I'm trying to plot the pressure distribution around a cylinder in a uniform flow field, so that the graphic is a circle with the pressure curve around it, like in the image below.
http://img843.imageshack.us/img843/4649/63792687.th.jpg
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I have the equation for...
Let's say we have a solid cylinder which is fully submerged in water or any fluid having density lower than of cylinder's density. I want to find out how can we convert the buoyancy force in terms of pressure. Actually I am doing FE analysis of this kind of problem and software allows to apply...
Pretty simple question:
Is it possible to completely calculate Lift and Drag from the pressure distribution over an airfoil?
Atm, I have Lift worked out as well as the Induced drag ( correct me if I'm wrong. ) but am having trouble working out how it would be possible to get the skin...
I am given a project to transform an airfoil from a cylinder using joukowski transform. The cylinder is in zeta plane and the airfoil is in z plane. I did the plotting and i got the airfoil shape using matlab. but i want to know how to plot the pressure distribution over the airfoil.
The...