Pressure distribution in a Bingham plastic

[jonnyj]

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.

 

[berkeman]

Welcome to PF.

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.

 

[jonnyj]

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

 

[jonnyj]

This is most of what I have gathered so far

 

[Lnewqban]

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.

 

[Chestermiller]

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.

 

[jonnyj]

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.

 

[Chestermiller]

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.