Scaling Laws for Three-Dimensional Combined Heaving and Pitching Propulsors

Dimensional analysis and scaling laws

Simulation of Pitching and Heaving Airfoil with Oscillation of Flow Boundary Condition

A pressure based implicit procedure to solve the Euler and Navier-Stokes equation is developed to predict transonic viscous and inviscid flows around the pitching and heaving airfoils with a high reslution scheme. In this process, nonorthogonal and non moving mesh with collocated finite volume formulation are used. In order to simulate pitching or heaving airfoil, oscillation of flow boundary c...

Wake visualization of a heaving and pitching foil in a soap film

Many fish depend primarily on their tail beat for propulsion. Such a tail is commonly modeled as a twodimensional flapping foil. Here we demonstrate a novel experimental setup of such a foil that heaves and pitches in a soap film. The vortical flow field generated by the foil correlates with thickness variations in the soap film, which appear as interference fringes when the film is illuminated...

Scaling Laws For Macrodispersion

Scaling laws for the macrodispersivity of ow through porous media are derived from the assumed scaling properties of geological heterogeneity. If is the exponent characterizing uid scaling and is the exponent which characterizes geological heterogeneity, then a simple scaling relation is = maxfa2 ; 1 a2 g. Typically, 0 < < 1, and 12 < < 1, leading to an anomalous, or scale dependent, di usion p...

Scaling Laws from Statistical Data and Dimensional Analysis

Scaling laws provide a simple yet meaningful representation of the dominant factors of complex engineering systems, and thus are well suited to guide engineering design. Current methods to obtain useful models of complex engineering systems are typically ad-hoc, tedious, and time consuming. Here we present an algorithm that obtains a scaling law in the form of a power law from experimental data...