Understanding Shearing Stress & Tangential Forces on Fluids

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SUMMARY

This discussion clarifies the concept of shearing stress in fluids, emphasizing that fluids cannot sustain tangential forces applied to their surfaces. When a force is exerted tangentially, the fluid's surface will continuously move as long as the force is applied, unlike solids that resist movement. The boundary where the fluid meets its container is considered the fluid surface, which is crucial for understanding fluid dynamics. The analogy of a canoe gliding through water illustrates how tangential forces affect fluid motion.

PREREQUISITES
  • Understanding of basic fluid mechanics concepts
  • Familiarity with the definitions of shearing stress and tangential forces
  • Knowledge of fluid dynamics principles
  • Ability to visualize fluid behavior in relation to solid objects
NEXT STEPS
  • Research the mathematical formulation of shearing stress in fluids
  • Explore fluid dynamics simulations to visualize fluid behavior
  • Study the differences between solid and fluid resistance to applied forces
  • Learn about boundary layer theory in fluid mechanics
USEFUL FOR

Students and professionals in physics, engineering, and fluid mechanics who seek to deepen their understanding of fluid behavior under stress and the implications for real-world applications.

Rishabh Narula
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Homework Statement
"A fluid, in contrast to a solid, is a substance that can flow. Fluids conform to the
boundaries of any container in which we put them. They do so because a fluid
cannot sustain a force that is tangential to its surface. (In the more formal
language of Module 12-3, a fluid is a substance that flows because it cannot
withstand a shearing stress. It can, however, exert a force in the direction perpendicular to its surface.) Some materials, such as pitch, take a long time to conform
to the boundaries of a container, but they do so eventually; thus, we classify even
those materials as fluids"
Relevant Equations
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what does it mean that fluid cannot sustain a force that is tangential to its surface.which surface fluids's surface or container?
and what does it mean it cannot withstand shearing stress.what's shearing stress and what does it mean here.and why exert force only in direction perpendicular to surface?can someone provide pictures or animations,hard to visualize what this para from halliday book means.
 
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Rishabh Narula said:
which surface fluids's surface or container?
fluid surface. The story simply explains that a fluid flows around any object that pushes that fluid
 
So the boundary where the fluid touches the container is also the fluid surface. Also the horizontal "surface" if the container is not full is also the surface. Tangential is parallel to the surface. Put a canoe in the water and it glides parallel to the surface with little effort. Sure it sinnks into the water some and will move water aside as it moves forward, but the surface touching the canoe is sheared and moves along with the canoe.
 
Rishabh Narula said:
what does it mean that fluid cannot sustain a force that is tangential to its surface
The use of the word "sustain" is significant. It means that if you apply a force, no matter how small, tangential to the surface of the fluid then that part of the surface will move and continue to move for as long as the force is applied.
Contrast this with a solid, in which the surface will move a little, but as the movement progresses its resistance to movement increases, so the movement comes to a stop.
 

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