Why Does the Velocity Profile in a Pipe Show a Dip at the Center?

In summary, fluid mechanics is the study of fluids in motion and at rest, including their behavior under different conditions. It has various real-world applications, such as in designing vehicles and understanding blood flow. The fundamental equations of fluid mechanics describe the relationship between properties of fluids. It is closely related to other areas of science and is an important component of engineering disciplines. Current research topics in fluid mechanics include turbulence, multiphase flows, and studying fluids at extreme conditions.
  • #1
pavadrin
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ive have recently conducted a lab for investigating the behaviour of fluids in a pipe system
the fluid chosen was an oil with a density of 853 kg m-3

i used pitot-traversing gear to measure the pressure at different positions from the wall of the pipe (to the centre and then assumed a mirror image beyond the centre of the pipe). i have come to plot these values on the graph and have had unexpected results. i have checked over these many times, and according to the values this is the velocity profile i obtain:

http://img133.imageshack.us/img133/9461/velocityprofilefortest0n.jpg

whats causes the dip at the centre of the pipe? is this cause by turbulent flows? or have i simply got the wrong results? i have checked with others whom i conducted the experiment together and obtain similar results, so if the results are incorrect there may be something wrong with the equipment. or is this simply a phenomena of some sort?

any suggestions would be of immense help
many thanks, pavadrin
 
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  • #2


Dear Pavadrin,

Thank you for sharing your results with us. The dip at the center of the pipe is a common phenomenon observed in fluid flow experiments and is not necessarily an indication of incorrect results. This is known as the "centerline dip" or "core flow dip" and is caused by the presence of turbulent flow in the pipe.

Turbulent flow is characterized by chaotic and irregular motion of fluid particles, which can lead to variations in pressure and velocity within the flow. In your experiment, the oil is flowing through the pipe at a high velocity, which can cause turbulence to occur.

The dip in the velocity profile is a result of the turbulent eddies that form at the center of the pipe. These eddies create a region of low velocity, which is reflected in the dip in the velocity profile. This phenomenon is more prominent in pipes with larger diameters and higher velocities.

To confirm if this is indeed due to turbulent flow, you can perform further experiments at different flow rates and pipe diameters. If the dip is consistently present, then it is most likely caused by turbulent flow.

I would also suggest checking the calibration of your equipment to ensure accurate measurements. You can also try using different types of fluids with varying densities to see if the dip in the velocity profile changes.

I hope this helps and good luck with your further experiments!
 

FAQ: Why Does the Velocity Profile in a Pipe Show a Dip at the Center?

What is fluid mechanics?

Fluid mechanics is the branch of physics that deals with the study of fluids (liquids and gases) in motion and at rest. It involves understanding the behavior of fluids under various conditions, such as pressure, velocity, and temperature.

What are the applications of fluid mechanics?

Fluid mechanics has numerous real-world applications, including designing vehicles, predicting weather patterns, understanding blood flow in the human body, and developing hydraulic systems for industrial machinery.

What are the fundamental equations of fluid mechanics?

The fundamental equations of fluid mechanics include the continuity equation, Euler's equation, Navier-Stokes equations, and the Bernoulli's equation. These equations describe the relationship between various properties of fluids, such as velocity, pressure, and density.

How is fluid mechanics related to other areas of science?

Fluid mechanics is closely related to other areas of science, such as thermodynamics, chemistry, and biology. It is also an important component of engineering disciplines, such as mechanical, civil, and aerospace engineering.

What are some current research topics in fluid mechanics?

Current research topics in fluid mechanics include turbulence, multiphase flows, biofluids, and computational fluid dynamics. Scientists are also studying the behavior of fluids at extreme conditions, such as high pressure and temperature, to better understand their properties and applications.

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