What Causes the Discrepancy in Calculating Wall Shear Stress in Pipe Flow?

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Discussion Overview

The discussion revolves around the calculation of wall shear stress in pipe flow, specifically addressing discrepancies in the computed values based on given parameters such as dynamic viscosity, relative density, and mean velocity. The scope includes mathematical reasoning and technical explanation related to fluid mechanics.

Discussion Character

  • Technical explanation, Mathematical reasoning, Debate/contested

Main Points Raised

  • One participant calculates wall shear stress using the formula τ=μ.du/dy and provides specific values for dynamic viscosity and mean velocity, leading to a result of 0.121 Pa.
  • Another participant questions the units of density, implying a need for clarity in the calculations.
  • A third participant suggests ensuring dimensional consistency and recommends using kinematic viscosity, which is derived from absolute viscosity and density.
  • A later reply challenges the necessity of using kinematic viscosity, arguing that the shear stress equation specifically requires dynamic viscosity, which has been provided.

Areas of Agreement / Disagreement

Participants express differing views on the appropriate viscosity to use in the shear stress calculation, indicating a lack of consensus on the correct approach to resolve the discrepancy in calculated values.

Contextual Notes

There are unresolved issues regarding the definitions and units of viscosity and density, as well as the assumptions underlying the use of dynamic versus kinematic viscosity in the context of the shear stress equation.

Anony-mouse
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fully developed flow liquid of dynamic viscosity 2.9x10^-3 Pa.s and relative density 0.9 in horizontal pipe of diameter 12mm, length of pipe=200mm and mean velocity is 0.5m/s

To find the wall shear stress, i used τ=μ.du/dy = (2.9x10^-3)(0.5/0.012) = 0.121Pa

The answer is 0.968Pa, where am i going wrong?

thanks
 
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What are the units of density?
 
Make sure you are dimensionaly consistent and use the kinematic viscosity which is absolute viscosity/density.
 
the density hasnt got any units, it just says the relative density. why should i be using the kinematic viscosity when the shear stress equation requires the dynamic viscosity, which is given
 

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