Formula Used:
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The formula calculates the density of a fluid based on shear stress, Darcy friction factor, and mean velocity. It provides an important relationship between these fundamental fluid dynamics parameters.
The calculator uses the formula:
Where:
Explanation: This formula relates fluid density to the shear stress experienced by the fluid, the friction factor characterizing the flow resistance, and the average flow velocity.
Details: Accurate fluid density calculation is crucial for various engineering applications including pipe flow design, pump selection, pressure drop calculations, and fluid system analysis.
Tips: Enter shear stress in Pascal, Darcy friction factor (dimensionless), and mean velocity in m/s. All values must be positive and valid for accurate results.
Q1: What is shear stress in fluid dynamics?
A: Shear stress refers to the force per unit area acting parallel to the surface of a fluid element, causing deformation through slippage between fluid layers.
Q2: How is Darcy friction factor determined?
A: The Darcy friction factor depends on the flow's Reynolds number and the pipe's relative roughness, typically obtained from Moody's chart or empirical correlations.
Q3: What is typical density range for common fluids?
A: Water at 4°C has density of 1000 kg/m³, air at sea level about 1.2 kg/m³, while mercury has density around 13500 kg/m³.
Q4: When is this formula particularly useful?
A: This formula is valuable when direct density measurement is challenging but shear stress, friction factor, and velocity measurements are available.
Q5: Are there limitations to this calculation method?
A: This approach assumes steady, fully developed flow and may have limitations for non-Newtonian fluids or complex flow conditions.