<p>This letter presents an adaptation of a PIV-based pressure reconstruction for non-Newtonian fluid flows. This adapted method is applied to the free-surface flow of a viscoplastic fluid (featuring a yield stress) on a slope and interacting with an obstacle positioned over the channel bed and submerged in respect of the flow. For such a yield stress fluid, the viscosity is not constant but varies locally, which requires appropriate consideration in the momentum conservation equation. In addition, flow is characterized by regions where the fluid behaves like a solid, i.e., where the shear stress does not surpass the fluid yield stress. Then, the flow is characterized by the presence of non-sheared regions which require specific treatment in the pressure reconstruction process. This letter presents the principles of the adapted pressure reconstruction method, validates its implementation using two-dimensional numerical data, and demonstrates its feasibility by applying it to experimental 2D-PIV data from the literature.</p>

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Adaptation of a PIV-based pressure measurement for free-surface flows of yield stress fluids

  • Guillaume Gomit,
  • Guilherme Henrique Fiorot,
  • Lorenzo Olivo Filippini,
  • Sébastien Jarny,
  • Laurent David

摘要

This letter presents an adaptation of a PIV-based pressure reconstruction for non-Newtonian fluid flows. This adapted method is applied to the free-surface flow of a viscoplastic fluid (featuring a yield stress) on a slope and interacting with an obstacle positioned over the channel bed and submerged in respect of the flow. For such a yield stress fluid, the viscosity is not constant but varies locally, which requires appropriate consideration in the momentum conservation equation. In addition, flow is characterized by regions where the fluid behaves like a solid, i.e., where the shear stress does not surpass the fluid yield stress. Then, the flow is characterized by the presence of non-sheared regions which require specific treatment in the pressure reconstruction process. This letter presents the principles of the adapted pressure reconstruction method, validates its implementation using two-dimensional numerical data, and demonstrates its feasibility by applying it to experimental 2D-PIV data from the literature.