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In fluid mechanics, dynamic similarity is the phenomenon that when there are two geometrically similar vessels (same shape, different sizes) with the same boundary conditions (e.g., no-slip, center-line velocity) and the same Reynolds and Womersley numbers, then the fluid flows will be identical.
Dimensionless numbers (or characteristic numbers) have an important role in analyzing the behavior of fluids and their flow as well as in other transport phenomena. [1] They include the Reynolds and the Mach numbers, which describe as ratios the relative magnitude of fluid and physical system characteristics, such as density, viscosity, speed of sound, and flow speed.
In this model the red fluid – initially on top, and afterwards below – represents a more dense fluid and the blue fluid represents one which is less dense. The Rayleigh–Taylor instability is another application of hydrodynamic stability and also occurs between two fluids but this time the densities of the fluids are different. [ 6 ]
In fluid mechanics, pipe flow is a type of fluid flow within a closed conduit, such as a pipe, duct or tube. It is also called as Internal flow. [1] The other type of flow within a conduit is open channel flow. These two types of flow are similar in many ways, but differ in one important aspect.
Download as PDF; Printable version ... Hamiltonian fluid mechanics is the application of Hamiltonian methods to fluid mechanics. Note ... inviscid vorticity-free fluid.
Streaklines are the loci of points of all the fluid particles that have passed continuously through a particular spatial point in the past. Dye steadily injected into the fluid at a fixed point (as in dye tracing) extends along a streakline. Pathlines are the trajectories that individual fluid particles follow. These can be thought of as ...
(fluid streamlines are similar) Dynamic similarity – ratios of all forces acting on corresponding fluid particles and boundary surfaces in the two systems are constant. To satisfy the above conditions the application is analyzed; All parameters required to describe the system are identified using principles from continuum mechanics.
First law of thermodynamics (fluid mechanics) Flow conditioning; Flow in partially full conduits; Flow net; Flow, Turbulence and Combustion; Flowability; Fluid dynamic gauge; Fluid flow through porous media; Fluid kinematics; Fluid–structure interaction; FluoroPOSS; Free surface; Free surface effect; Friction loss