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Leakage flow causes low static pressure in the core area, increasing the risk of cavitation and blade damage. The leakage velocity is given as: Q L = 2 ( ( P p - P s) / ρ ) 1/2. The leakage flow sheet due to velocity induced by the vortex is given in Rains, 1954: a/τ = 0.14 ( d/τ ( C L) 1/2) 0.85. Total loss in clearance volume is given by ...
[4] [5] [6] A generalized model of the flow distribution in channel networks of planar fuel cells. [6] Similar to Ohm's law, the pressure drop is assumed to be proportional to the flow rates. The relationship of pressure drop, flow rate and flow resistance is described as Q 2 = ∆P/R. f = 64/Re for laminar flow where Re is the Reynolds number.
The term “Volume of Fluid method” and it acronym “VOF” method were coined in the 1980 Los Alamos Scientific Laboratory report, “SOLA-VOF: A Solution Algorithm for Transient Fluid Flow with Multiple Free Boundaries,” by Nichols, Hirt and Hotchkiss [6] and in the journal publication “Volume of Fluid (VOF) Method for the Dynamics of ...
This can be used to calculate mean values (expectations) of the flow rates, head losses or any other variables of interest in the pipe network. This analysis has been extended using a reduced-parameter entropic formulation, which ensures consistency of the analysis regardless of the graphical representation of the network. [3]
Example of a parallel shear flow. In fluid dynamics, Rayleigh's equation or Rayleigh stability equation is a linear ordinary differential equation to study the hydrodynamic stability of a parallel, incompressible and inviscid shear flow. The equation is: [1] (″) ″ =,
The Orr–Sommerfeld equation, in fluid dynamics, is an eigenvalue equation describing the linear two-dimensional modes of disturbance to a viscous parallel flow. The solution to the Navier–Stokes equations for a parallel, laminar flow can become unstable if certain conditions on the flow are satisfied, and the Orr–Sommerfeld equation determines precisely what the conditions for ...
In operations management and industrial engineering, production flow analysis refers to methods which share the following characteristics: Classification of machines; Technological cycles information control; Generating a binary product-machines matrix (1 if a given product requires processing in a given machine, 0 otherwise)
An axial turbine has a similar construction as an axial compressor, but it operates in the reverse, converting flow of the fluid into rotating mechanical energy. A set of static guide vanes or nozzle vanes accelerates and adds swirl to the fluid and directs it to the next row of turbine blades mounted on a turbine rotor.