Pressure Drop Formula (Poiseuille's Law):
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Definition: This calculator estimates the pressure drop in a tube for laminar flow conditions using Poiseuille's law.
Purpose: It helps engineers and scientists determine the pressure loss in fluid systems with laminar flow through cylindrical tubes.
The calculator uses Poiseuille's law formula:
Where:
Explanation: The formula shows that pressure drop is directly proportional to viscosity, length, and flow rate, but inversely proportional to the fourth power of the tube radius.
Details: Accurate pressure drop calculations are essential for designing efficient fluid systems, selecting appropriate pumps, and ensuring proper system operation.
Tips: Enter the fluid viscosity, tubing length, flow rate, and tubing radius. All values must be > 0. For best results, ensure flow is laminar (Re < 2100).
Q1: What is Poiseuille's law?
A: It describes laminar flow through a tube, showing that pressure drop is proportional to flow rate and inversely proportional to the fourth power of the radius.
Q2: When is this calculator not applicable?
A: For turbulent flow (Re > 4000), non-Newtonian fluids, or non-cylindrical conduits.
Q3: What's a typical viscosity value for water?
A: Water at 20°C has a viscosity of about 0.001 Pa·s.
Q4: Why is radius to the fourth power so important?
A: Small changes in radius dramatically affect pressure drop - doubling radius reduces ΔP by 16 times!
Q5: How do I convert between different pressure units?
A: 1 Pa = 0.000145 psi, 1 bar = 100,000 Pa, 1 atm = 101,325 Pa.