How Can Boundary Layer Suction Reduce Flow Separation in Pipe Expansion?

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SUMMARY

The discussion focuses on the application of boundary layer suction to mitigate flow separation in a pipe expansion scenario, specifically with a 30-degree angle and a diameter increase from 1D to 2D. The flow is characterized by a Reynolds number exceeding 5000, leading to significant head loss due to localized flow separation, which generates eddies and vortices. The resistance coefficient (K factor) for this configuration is noted as 0.46. The participants confirm that implementing boundary layer suction creates a favorable pressure gradient, enhancing the boundary layer's stability and reducing flow resistance, thereby potentially lowering the resistance coefficient below 0.46.

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  • Understanding of fluid dynamics principles, particularly flow separation and boundary layers.
  • Familiarity with Reynolds number and its implications in flow behavior.
  • Knowledge of pressure gradients and their effects on fluid flow.
  • Experience with resistance coefficients in pipe flow scenarios.
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Fluid dynamics engineers, mechanical engineers, and researchers focused on optimizing flow in piping systems, particularly those dealing with flow separation and resistance reduction techniques.

Timtam
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I have a question about the following scenario involving a flow separation issue in a pipe expansion

upload_2016-4-12_11-28-27.png


The angle of the expansion is 30* - doubling the diameter from 1D to 2D

We can consider this flow fully developed with a Reynolds of 5000+

Associated with this expansion is a head loss caused by localised flow separation converting flow to eddies and vortices which I understand to then cascade down to the Kolmogorov length scale where they are dispersed as heat.

If I was to zoom in the localisation might look like this

upload_2016-4-12_11-28-27.png


The K factor resistant coefficient associated with this configuration is 0.46

Current tables
upload_2016-4-12_11-28-27.png

In aerodynamics they use boundary layer control suction (removing Boundary Layer Static Pressure) or re-energizing the flow adding Dynamic Pressure) to reduce drag associated with flow separation

upload_2016-4-12_11-28-27.png
I am similarly interested in using boundary layer suction in my pipe (by reducing pressure at the start of the expansion to reduce the head loss**) but I am unsure I understand the actual mechanism that achieves this

My attempt at an explanation Suction creates a localized low pressure zone ( ahead of the localized high pressure zone created by the stagnated flow within the boundary). This creates a new gradient with which this high pressure can disperse . As this gradient is in the streamwise direction this allows the energy to rejoin the flow as DPMy Question

Is this correct ? Would my resistance coefficient be lower than the 0.46 the pressure loss the expansion experiences without suction ?

**I am aware that adding suction will cost energy which will be more than the flow recovered: therefore will be energy deficit. I am only concerned with lowering the Resistance coefficient
 

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Suction does create a localized low pressure zone near the wall, but the important effect here is that, while there was no wall- normal pressure gradient before (it's a boundary layer, after all), there is now a favorable pressure gradient, however slight, pointing toward the wall. This tends to draw more high-momentum fluid from the free stream down toward the wall, and promotes having a "fuller" boundary layer than would otherwise occur. The result is a boundary layer that, among other things, is more resistant to separation.

I do believe it makes sense that you would experience less flow resistance if you were to add suction as you have described.
 

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