.TAeZoSysPro.FluidDynamics.Components.Filters.Filter .TAeZoSysPro.FluidDynamics.Components.Filters.FilterThis components models the mass flow rate through a filter from a pressure difference at boundaries and nominal sizing point. The flow regime is steady state.
The mathematical model under this component derives from the integrated Darcy law for a compressible fluid. In that law, the flow is supposed to linearly vary with the pressure difference. Knowing the pressure drop and the flow (m3/s) at an operating (or nominal) point, all the other working points can be guessed from the product of the ratio of the current pressure drop over the nominal pressure and the nominal volume flow rate.
The mass flow rate relation derives:
Where:
dp is the boundary pressure difference between
port_a.p and port_b.pk is the permeabilityμ is the dynamic viscosityA is inlet cross sectionL is length of the sample unitsK is a kind of linear the pressure loss
coefficient (or hydraulic conductance)d is the upstream densitym_flow is the mass flow rate induced by
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