What question did this study set out to answer?

To establish a mechanistic derivation of the logarithmic law of the wall for open-channel flows that circumvents the unrealistic assumption of a constant shear stress layer.

August 15, 2026WaterOpen Access

Beyond the Constant Stress Assumption: A Mechanistic Derivation of the Log-Law for Open Channel Flow

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To establish a mechanistic derivation of the logarithmic law of the wall for open-channel flows that circumvents the unrealistic assumption of a constant shear stress layer.
Analyzed two-dimensional uniform open-channel flow dynamics to assess the near-bed Reynolds shear stress profile.
Reframed bed shear stress as the time-averaged momentum flux produced by discrete, wall-coherent eddy impacts.
Applied kinematic scaling for velocity fluctuations combined with geometric eddy size constraints to mathematically derive the velocity profile.
Successfully recovered the logarithmic law of the wall without requiring a constant shear stress zone.
Demonstrated that the empirical robustness of the log-law emerges directly from the physical structure and kinematics of wall turbulence.
Resolved the theoretical inconsistency between classical mixing-length assumptions and empirical stress profiles in open-channel turbulence.

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Implication

Theoretical analysis demonstrates a mechanistic derivation of the log-law in open-channel flow without constant stress assumptions, indicating a direct link to coherent wall turbulence.

Cite This Study

Zheng et al. (2026) studied this question.

synapsesocial.com/papers/6a8019f175c2e31742c86258 https://doi.org/10.3390/w18161976

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Implication

Theoretical analysis demonstrates a mechanistic derivation of the log-law in open-channel flow without constant stress assumptions, indicating a direct link to coherent wall turbulence.

Beyond the Constant Stress Assumption: A Mechanistic Derivation of the Log-Law for Open Channel Flow

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Implication

Cite This Study

Beyond the Constant Stress Assumption: A Mechanistic Derivation of the Log-Law for Open Channel Flow

Key Points

Discussion

Implication

Cite This Study

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