Fully Developed Flow: Laminar vs Turbulent

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Discussion Overview

The discussion revolves around the definition of fully developed flow in the context of laminar and turbulent flow regimes. Participants explore how various factors, such as temperature and concentration gradients, may influence this definition, particularly in relation to the velocity profile and other fluid parameters.

Discussion Character

  • Exploratory
  • Technical explanation
  • Debate/contested

Main Points Raised

  • One participant asserts that fully developed flow means the velocity profile does not change with respect to the stream coordinate, acknowledging differences in entrance lengths for laminar and turbulent flows.
  • Another participant questions whether the definition of fully developed flow could be affected by temperature and concentration gradients, proposing a definition that includes the condition of zero differences in these parameters for fully developed flow.
  • A further reply suggests that if temperature varies radially, it would also change axially, implying that fully developed flow cannot occur unless viscosity remains constant with temperature.

Areas of Agreement / Disagreement

Participants express differing views on whether the definition of fully developed flow is influenced by temperature and concentration gradients, indicating that multiple competing perspectives remain in the discussion.

Contextual Notes

There are unresolved assumptions regarding the dependence of fully developed flow on various fluid parameters and the implications of temperature and concentration gradients on the flow characteristics.

Kensiber
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Does the definition of fully developed flow is different for laminar and turbulent?
I understand the fact that the entrance length are different in laminar and turbulent flows, but I believe the definition of fully hydrodynamically developed flow means that the velocity profile (hence momentum) doesn’t change with respect to the stream coordinate.
Please give some insights?
Thanks

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That sounds correct to me. Why did you think something else was possible?
 
I thought this definition of "fully developed flow" may change with the temperature gradient and concentration gradient between the fluid and pipe wall. Otherwise, it should be defined as follows.
"Except the pressure gradient in the pipe section (which balances shear resistance to sustain uniform velocity profile) all fluid parameters such as temperature and concentration difference must be zero to have a fully developed flow." I couldn't find something similar to this definition in any textbooks. [there are explanations about concentration and thermal boundary layers separately, but couldn't see one description including all these phenomena]
 
Well, if the temperature is varying radially, it must also be changing axially, so the flow can't be fully developed unless the viscosity is independent of temperature. At least, that is my take on this.
 
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