Circulation Definition and 79 Threads

Homework Statement The stream function of a 2D incompressible flow is given by: \Psi=(\Gamma/2pi)*ln(r) Show that the circulation about a closed path about the origin is \Gamma and is independent of r. Homework Equations \Gamma=-\ointV dot ds The Attempt at a Solution So far I know that...

Hey. At the moment, for my fluid mechanics course, i am working on an assignment where i have been instructed to design a basic fluid system which involves the use of an operating centrifugal pump. The system i have chosen is a pool circulation and filtration system. I have finished with...

Hello. I'm new to vector calculus and I had a question about the following integral: \int_{C} x dy please note that this is a circulation (I didn't know the tex-code for the little circle sign on the integral) They calculated this integral (for a specific curve) with the use of a line...

Homework Statement A flow field on the xy-plane has the velocity components u=3x+y v=2x-3y Show that the circulation around the circle (x-1)^2+(y-6)^2=4 equals 4\pi Homework Equations The circulation \Gamma around a closed contour is: \Gamma=\int_C\vec{u}\cdot d\vec{s}The Attempt at a...

The circulation of a vector field is the closed line integral of the dot product between the vector and the infinitesimal displacement vectors along the curve. Therefore, the sign of circulation depends on which way around the curve you take the integral. This is all very well, but this...

Hey guys, I have an assignment to do on Glaciation for university but I'm a bit lost with an aspect of the question and was wondering could anyone help. The aspect is how the Thermohaline Circulation is linked to the Quaternary Glaciation. I can't find any published articles about it from...

I need to find the circulation for a flow in a pipe. I'm using the velocity in the angular direction (cylindrical coordinate system). Am I right in thinking that an ideal vortex is one where there is no vorticity? That would mean there is no circulation. It's strange, because the velocity is...

Homework Statement The blood transports substances required by the body and the waste products of metabolism. The blood contains many different constituents including red blood cells, white blood cells, platelets and protein. However, for calculation purposes, it is sufficient to treat blood...

Can the circulation about some closed (rigid) path in a force field be interpreted as the work done by the force field on the path over an infinitesimal time?

Homework Statement Use Green's Theorem to calculate the circulation of \vec{G} around the curve, oriented counterclockwise. \vec{G} = 3y\vec{i} + xy\vec{j} around the circle of radius 2 centered at the origin. Homework Equations The Attempt at a Solution...

Homework Statement v = ui + v j u = cos(x)sin(y) v = -sin(x)cos(y) Find the circulation around randa to the square defined by: x = y = [-0.5*pi,0.5*pi] Homework Equations Is there a rule that says which sides on the square that get i and whics gets -i when you draw the square?

So they didn't seem to collide any particles yet? I'm not too knowledgeable about this topic, but it must be something "landmark" as Google altered their logo to inform people about this. Anyways, there's a link to the article here...

Homework Statement Use the surface integral in Stoke's Theorem to calculate the circulation of the Field F around the curve C in the indicated direction. F = (x^2)i + (2x)j + (z^2)k C: The ellipse 4x^2 + y^2 = 4 in the xy-plane, counterclockwise when viewed from above. Homework...

The schematic shows a central heating system. I'm wondering if I can drop the twin pump? If each of the single pumps are powerfull enough to bring the water around through the heat exchanger then why do I need the twin pump?

This is what I understand about Kelvin's Circulation Theorem 1)for inviscid (where the viscous forces are much LESS than inertial forces) AND uniform density flow, the circulation is conserved. 2)This implies (by some arduos vector calculus manipulations) that the vorticity of each fluid...

i remember once seeing on tv (fiction) how a man threatened another with a syringe and said he would inject the other with air and that 2 ccm would be enough to kill, if i remember correctly what happens if air gets into your circulatory system ? i imagine it would be ok until it is pumped...

I want to post some interesting quotes about global circulation models. Well, I believe they have potential I believe that the application of the theory is often misapplied. http://www.climateaudit.org/?p=483#comment-208656 http://www.climateaudit.org/?p=483#comment-209256...

how would the Earth be affected by global warming in terms of the sea level , global ocean circulation, and oxygen isotopes?

I figured an example is the easiest way to explain my question. A 500-sq.ft laboratory with 9-ft ceiling includes an HVAC system delivering enough air volume for an air change (AC) rate of 10 AC/hr. However, both the air intake and exhaust are located in the ceiling, 18-ft apart. In this closed...

Homework Statement I would like to have some of my homework problems checked. I looked in the book, and answered these the best I could. My answers are in bold. Thanks in advance for the help! Homework Equations N/A. The Attempt at a Solution 1. Which functional plant cells lack a...

How does the summer solstice affect the position of Hadley cells? I know that the solar equator is 23.5 degrees North, which differs from the 0 degrees (as a solar equator) for the equinox. For the equinox in the N. hemisphere, there are three Hadley cells, or cells of circulation. The range of...

Hi all. I am revisiting things about potential flows. So, I believe the assumptions of potential flows shall be the irrotationality and the ignorance of viscosity. And I am studying the flow past a cylinder with and without circulation. Without circulation, there is no lift force but when...

At a high shear rate, red blood cells become elongated and oriented in one direction, facilitating smooth blood flow. However, at a high enough shear rate, the cells will become so strained that a part of the cell membrane pinches off. This often occurs in poorly designed medical devices that...

Here I've seen different solutions. Some people simply add a T to the hot water pipe from the heater and run the circulation pipe alongside the hot water pipe connecting the two near the end. They then connect a pump to this. I don't really see how this has any effect. Wouldn't the hot water...

What is the difference between Meridional Overturning Circulation and Thermohaline Circulation? Is it correct to say: THC is a principle - basically just the fact that colder and/or saltier water sinks because it's denser than warmer or less salty water. And that if some other factor such...

How could we possibly chart its history? The Greenpeace website cites ice core data as backing them up (what? no references? :smile:), but then we would have to have some gas isotope ratio that is used to pin down some quality.

hypothetically, if incoming and outgoing radiation balanced at every point on earth, would there still be air circulation? What do you think?

that ebn alnafees (who is an arabian scientist) was the first to discover the blood circulation

When the flow of deep cold water in the atlantic speeds up what causes the amount of water vapour in the tropics to increase too.Could magma in the Earth be heating the sea water or hydrothermal vents - presumably sea currents would have to move to a hot spot or somehow encourage vents to...