Pressure distribution in a Bingham plastic

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Discussion Overview

The discussion focuses on the influence of non-Newtonian fluid properties, specifically yield stress and shear-thinning behavior, on hydrostatics compared to Newtonian fluids. It explores how these properties affect pressure distribution in Bingham plastic fluids and their implications for the design of storage tanks, particularly regarding wall forces and the center of pressure.

Discussion Character

  • Exploratory
  • Technical explanation
  • Debate/contested

Main Points Raised

  • Some participants inquire how hydrostatic pressure distribution changes for Bingham plastic fluids compared to Newtonian fluids, particularly regarding the role of yield stress.
  • One participant suggests that the pressure distribution might involve adding the yield stress to the standard hydrostatic pressure equation, but expresses uncertainty about the complexity of this relationship.
  • Another participant believes that the hydrostatics of both fluid types should be the same in stable equilibrium, as both fluids would be at rest.
  • It is noted that the filling method of the tank and the presence of residual stresses in the solid plug may influence the center of pressure and wall forces.
  • Participants express uncertainty about the specific calculations or definitions related to wall forces and the center of pressure in the context of Bingham plastics.

Areas of Agreement / Disagreement

Participants express differing views on whether the hydrostatic behavior of Bingham plastic fluids is fundamentally different from that of Newtonian fluids. There is no consensus on how to approach the calculations for wall forces and center of pressure in Bingham plastics.

Contextual Notes

Participants acknowledge limitations in their understanding of the concepts, particularly regarding the definitions and calculations related to wall forces and center of pressure in Bingham plastic fluids.

jonnyj
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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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