Definition of Fluid: What is Shear Stress?

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A fluid is defined as a substance that deforms continuously under shear stress, which is a tangential force. While fluids can also deform under perpendicular forces, this deformation is not continuous and does not lead to flow. The distinction is important because shear stress is the only force that causes fluids to flow, making it a critical aspect of the definition. Both liquids and gases are classified as fluids, but their responses to stress differ, particularly in terms of compressibility. Understanding this definition clarifies why shear stress is emphasized in fluid dynamics.
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Hello,
I have found the following definition in wikipedia:
A fluid is defined as a substance that continually deforms (flows) under an applied shear stress. All liquids and all gases are fluids.
However, it's pretty hard for me to understand this definition. Shear stress represents tangential pressure applied. Fluid will also deform under perpendicular force. Why tangential force is used in definition?

Thanks
 
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A fluid will deform by it's own weight, which can be tangential to the surface holding the fluid.
Not sure if that answers your question though.
 
Micko said:
Fluid will also deform under perpendicular force. Why tangential force is used in definition?
Gasses will deform under perpendicular force, ie they are compressible. Liquids do not. Fluids include both liquids and gasses, so compressibility cannot be part of the definition.

Also, even in a compressible fluid, the "perpendicular" deformation is not continuous. So a normal stress does not cause a fluid to flow, only a shear stress.
 
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