Fluid mechanics. Plate pulled within viscous fluid.

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SUMMARY

The discussion centers on fluid mechanics, specifically analyzing the behavior of a plate pulled through a viscous fluid. The user is grappling with discrepancies in calculated distances between a stationary plate and the moving plate, particularly in part B of their homework. They suspect that the shear forces acting on both sides of the plate may not be equal, leading to inconsistent results. The conversation highlights the importance of correctly applying fluid dynamics principles to ensure accurate calculations.

PREREQUISITES
  • Understanding of fluid dynamics principles
  • Familiarity with shear stress and viscosity concepts
  • Knowledge of Newtonian fluids
  • Ability to apply relevant equations in fluid mechanics
NEXT STEPS
  • Review the Navier-Stokes equations for viscous flow
  • Study the concept of shear stress in Newtonian fluids
  • Learn about boundary layer theory in fluid mechanics
  • Investigate the effects of varying distances on shear forces
USEFUL FOR

Students studying fluid mechanics, engineers working with viscous fluid applications, and anyone involved in analyzing shear stress in fluid dynamics scenarios.

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Homework Statement



I have the statement, variables and given/known data in the picture along with relevant equations and solution attempt.

256a2di.jpg


Homework Equations





The Attempt at a Solution



I think I did the first part right. But I'm unsure about part B. The distance between the plate t is different between the stationary plate above than the distance below the plate to the stationary plate. Computing using the different distances give me a different value. I'm unsure what I'm doing wrong or what assumption is incorrect.

Any help would be appreciated. Thanks. :]
 
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I was thinking maybe the shear isn't the same on both sides of the plate in part b?
 

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