Darcy's Law for Filtration Flow Rate
Calculates the volumetric flow rate of a fluid through a porous filter medium and verifies the laminar flow regime using the pore-scale Reynolds number.
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1. Define Input Parameters
2. Engineering Output
Filter Cross-Sectional Area (A)
- m^2
- m^2
Pressure Drop (SI) (dP_pa)
- Pa
- Pa
Fluid Viscosity (SI) (mu_pas)
- Pa·s
- Pa·s
Filter Resistance (R)
- m^-1
- m^-1
Volumetric Flow Rate (Q)
- m^3/s
- m^3/s
Volumetric Flow Rate (Practical) (Q_lmin)
- L/min
- L/min
Superficial Velocity (v)
- m/s
- m/s
Pore Reynolds Number (Re_p)
- dimensionless
- dimensionless
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Darcy's Law is a fundamental principle used to describe the steady-state flow of a Newtonian fluid through a porous medium. It is critical for sizing industrial filtration equipment and ensuring the process remains within the laminar flow regime. This calculation is widely applied in chemical processing and water treatment to maintain consistent production throughput.
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