Does Specific Volume Change with Pressure in Incompressible Liquids?

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Specific volume typically changes with pressure for most substances, but incompressible liquids are often considered exceptions. Incompressible fluids are idealized materials that resist compression, meaning their specific volume remains constant despite changes in pressure. The discussion raises the question of whether pressure changes due to shear stress affect specific volume, but it clarifies that shear stress does not create hydrostatic pressure. Therefore, incompressible liquids maintain their specific volume even under varying pressure conditions. Understanding these principles is crucial for accurately analyzing fluid behavior in different scenarios.
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Homework Statement



Must the specific volume of a substance change when it undergoes a change in pressure? Is this true for all substances?

The Attempt at a Solution



obviously this is true in most cases but my question is: are incompressible liquids an exception? When a liquid is attempted to be compressed, does the pressure change? Because if this is the case, then incompressible substances can undergo a change in pressure without the specific volume changing.
 
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Ry122 said:
Must the specific volume of a substance change when it undergoes a change in pressure? Is this true for all substances?

Yes. So-called "incompressible fluids" are idealizations, materials that undergo shear much more easily than they undergo compression.
 
But when an incompressible substance undergoes a shear of 3000Kpa for example would the pressure of the substance be no different if it was to reach 3000Kpa through a rise in temperature rather than a change in shear?
 
Ry122 said:
But when an incompressible substance undergoes a shear of 3000Kpa for example would the pressure of the substance be no different if it was to reach 3000Kpa through a rise in temperature rather than a change in shear?

I'm not really following you here. Shear stress doesn't cause hydrostatic pressure.
 
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