Pressure distribution in a Bingham plastic

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SUMMARY

This discussion focuses on the influence of non-Newtonian fluid properties, specifically yield stress and shear-thinning behavior, on hydrostatic pressure distribution in Bingham plastic fluids compared to Newtonian fluids. It establishes that while both fluid types can exhibit similar hydrostatic behavior when at rest, the yield stress of Bingham plastics complicates the pressure distribution calculations. The conversation also highlights the impact of these properties on the design of storage tanks, particularly concerning wall forces and the center of pressure, which may differ from those in Newtonian fluids depending on the filling method and residual stresses.

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  • Understanding of Bingham plastic fluid mechanics
  • Knowledge of hydrostatic pressure principles
  • Familiarity with yield stress and shear-thinning behavior
  • Basic concepts of fluid storage tank design
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  • Research Bingham plastic fluid dynamics and pressure distribution models
  • Study the effects of yield stress on hydrostatic pressure calculations
  • Examine design considerations for storage tanks containing non-Newtonian fluids
  • Learn about the center of pressure and wall forces in Bingham plastic scenarios
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Fluid mechanics engineers, chemical engineers, and professionals involved in the design and analysis of storage tanks for non-Newtonian fluids.

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how do non-Newtonian fluid properties, such as yield stress or shear-thinning behavior, influence hydrostatics compared to Newtonian fluids.
• how does hydrostatic pressure distribution changes for a Bingham plastic fluid compared to a Newtonian fluid.
• how do non-Newtonian properties impact the design of storage tanks, focusing on wall forces and the center of pressure.
 
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What have you found in your own research on these questions? Can you post some links to the reading you've been doing while you were trying to answer these questions? Thanks.
 
Mechanics of fluids
http://ndl.ethernet.edu.et/bitstream/123456789/8015/1/Mechanics of Fluids .pdf

Fluid mechanics

http://ftp.demec.ufpr.br/disciplinas/TM240/Marchi/Bibliografia/White_2011_7ed_Fluid-Mechanics.pdf

These are two of the books I have studied they both discuss Newtonian fluid pressure distribution and Bingham plastic but not how the pressure distribution changes in a Bingham plastic I think it has something to do with the yield stress. I’m not sure if it is simple adding the yield stress of the fluid to the normal p=p0+rho*g*h . Or does the depth change the yield stress so a more complex term is added.

They for the storage vessel I have no idea what the wall forces are or the centre of pressure is in a Bingham plastic.

Thank you a lot for the reply I am really struggling to understand these two questions
 
IMG_5249.png

This is most of what I have gathered so far
 
I believe that the hydrostatics of both fluids should be the same because there is no movement.
Both types of fluids would be at rest in stable equilibrium.
 
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It depends on how the tank was filled, and whether there are residual stresses present within the solid plug comprising the fluid in the final state.
 
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Thank you for the assistance so, then would the centre of pressure or wall forces be different or would they also be similar to a Newtonian fluid.
 
jonnyj said:
Thank you for the assistance so, then would the centre of pressure or wall forces be different or would they also be similar to a Newtonian fluid.
Like I said, it depends on how the tank was filled.
 

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