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January 17, 2026Journal of Fluid MechanicsOpen Access

Scaling of wall pressure and the streamwise turbulence intensity peak in compressible wall flows

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Develops models for wall pressure and turbulence intensity in compressible wall flows, indicating implications for fluid dynamics.

The aim is to develop scaling laws for wall pressure and turbulence intensity in compressible wall flows based on compressibility effects.
Developing scaling laws using an expansion series in Mach number.
Utilizing scaling relations from incompressible flows with an effective Reynolds number.
Modeling higher-order terms as constant coefficients calibrated with specific flow cases.
Scaling relations show high accuracy across various turbulent channel flows.
Effective Reynolds number captures differences due to compressibility.
Higher-order terms effectively model intrinsic compressibility effects.

Hasan et al. (2026) studied this question.

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