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As can be seen, dynamic similarity was achieved with both air and water.
However, there are limitations on conditions in which dynamic similarity is based upon the Reynolds number alone.
The data fit was quite good, confirming dynamic similarity and the dipole model.
This suggests that the dynamic similarity approximation is reasonable.
The Womersley number is important in keeping dynamic similarity when scaling an experiment.
Dynamic similarity deals with accelerations, forces and related properties.
It is likely that the Rossby number would be a valuable dynamic similarity number.
Alexander incorporates Froude-number analysis into his "dynamic similarity hypothesis" of gait patterns.
In order to obtain dynamic similarity with respect to viscous stresses, the viscosity must be scaled.
When the compressibility is important the elastic forces must be considered along with inertial forces for dynamic similarity.
It should be noted that three-dimensional (viscous) effects occur at low Reynolds numbers so dynamic similarity is not achieved there.
If dynamic similarity holds for both resonances, the latter equation suggests how organ pipes are scaled.
Dynamic similarity - Ratios of all forces acting on corresponding fluid particles and boundary surfaces in the two systems are constant.
Along with the Reynolds number, the Womersley number governs dynamic similarity.
A theoretical investigation is made to derive the parameters that govern the dynamic similarity between prototype and model bubble plumes.
He extended dynamic similarity theory, developing a neuromaturation growth curve and proposing a risk aversion hypothesis for children's gait.
In order to achieve dynamic similarity of the dominant forces we must first decide what the dominant forces in the prototype are.
While the dynamic similarity hypothesis may not be a truly unifying principle of animal gait patterns, it is a remarkably accurate heuristic.
The dynamic similarity hypothesis states that "animals of different sizes tend to move in dynamically similar fashion whenever the ratio of their speed allows it".
Dynamic similarity (Reynolds and Womersley numbers)
A model is said to have similitude with the real application if the two share geometric similarity, kinematic similarity and dynamic similarity.
The meter calibration factors are valid only of geometric and dynamic similarity exists between the metering and calibration conditions.
In fluid mechanics, dynamic similarity refers to the phenomenon that when there are two geometrically similar vessels (same shape, different sizes) with the same boundary conditions (ex.
Flow kinematics,vorticity, the Navier-Stokes equations, Bernoulli's theorem, irrotational flow, viscous flow, dynamic similarity.
It is usually necessary to not enforce dynamic similarity for the less significant forces, but this of course means that we must understand the relative significance of the forces acting on the system.