Shear Stress Formula: Calculating Tau Correctly

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SUMMARY

The correct formula for calculating shear stress (tau) is derived as -d(p+yz)/ds (r/2), which differs from the user's initial calculation of (-dp/ds -ydz/ds)(r/2). The user expresses concern about the derivation process and questions the accuracy of the book's formula. The discussion highlights the importance of understanding the derivation steps to ensure accurate application of the shear stress formula in fluid mechanics.

PREREQUISITES
  • Understanding of fluid mechanics principles
  • Familiarity with differential calculus
  • Knowledge of shear stress concepts
  • Experience with mathematical derivations in physics
NEXT STEPS
  • Study the derivation of shear stress formulas in fluid mechanics
  • Learn about the implications of pressure gradients on shear stress
  • Explore advanced topics in fluid dynamics, such as Navier-Stokes equations
  • Review textbooks on fluid mechanics for comprehensive examples and exercises
USEFUL FOR

Students and professionals in engineering, particularly those specializing in fluid mechanics, as well as anyone involved in the analysis of shear stress in various applications.

foo9008
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how to get the formula of shear stress (tau) ? i got (-dp/ds -ydz/ds )(r/2) instead of -d(p+yz)/ ds (r/2) as in the book , if it's d(p+yz)/ ds (r/2) m , i would get (-dp/ds -ydz/ds-z(dy/ds) )(r/2) ,, right ?

The Attempt at a Solution


P/s : I'm concerned about the derivation part , so i didnt upload the complete version of the note
 

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Is the book wrong?
 

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