Titlebook: Inverse Problems in Global Flow Diagnostics; Tianshu Liu,Zemin Cai Book 2024 The Editor(s) (if applicable) and The Author(s), under exclus

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Introduction, velocity, pressure, temperature, density, concentration of species, skin friction, and surface heat flux. In experiments, these fundamental quantities are related to some observable quantities in flow visualizations. The observable information is presented in digital flow visualization images, incl

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Velocity from Flow Visualizations,tions of the optical flow method (OFM) for global flow diagnostics. The projected motion equations are derived for typical flow visualizations based on projection of the transport equations and continuity equation in the 3D object space onto the image plane. Here, flow visualization images include l

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Skin Friction from Surface Pressure Visualizations,agnostics with pressure sensitive paint (PSP). First, the exact relation between skin friction and surface pressure is derived from the Navier-Stokes (NS) equations for a compressible flow on a curved surface. The physical meanings of the relevant terms in this on-wall relation are discussed, includ

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Skin Friction from Surface Temperature Visualizations,ure diagnostics with temperature-sensitive paint (TSP). First, the exact relation between skin friction and surface temperature is derived from the energy equation for a compressible flow on a curved surface, and the physical meanings of the relevant terms in this on-wall relation are discussed. The

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Skin Friction from Surface Optical Flow,calar quantity based on the evolution equations of the surface temperature, scalar concentration, and enstrophy in which the SOF is proportional to skin friction. These evolution equations are written as a generic form of the optical flow equation. Therefore, the SOF can be determined by solving the

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