About This App
The Hydraulic Calculator is a user-friendly tool designed to help engineers, students, and professionals calculate the pressure drop in pipes due to fluid flow. By inputting parameters such as flow rate, pipe diameter, length, roughness, and fluid viscosity, users can obtain detailed results including flow velocity, Reynolds number, friction factor, and the pressure drop across the pipe.
This app uses fundamental principles of fluid mechanics and the Darcy-Weisbach equation to perform calculations. It’s ideal for designing piping systems, analyzing existing systems, or educational purposes to understand the effects of different parameters on fluid flow.
Key features include:
- Straightforward input fields with tooltips providing guidance and typical values.
- Detailed results with step-by-step calculations and equations used.
- Visual diagrams illustrating the pipe system and flow parameters.
- Responsive design suitable for use on various devices.
This application aims to make complex hydraulic calculations accessible to everyone, enhancing learning and efficiency in fluid system design.
Equations Used
Cross-sectional Area (A):
\( A = \pi \left( \dfrac{D}{2} \right)^2 \)
Flow Velocity (V):
\( V = \dfrac{Q}{A} \)
Reynolds Number (Re):
\( Re = \dfrac{V D}{\nu} \)
Friction Factor (f):
For turbulent flow (Re > 4000), using the Swamee-Jain equation:
\( f = 0.25 \left[ \log_{10} \left( \dfrac{\epsilon}{3.7 D} + \dfrac{5.74}{Re^{0.9}} \right) \right]^{-2} \)
For laminar flow (Re < 2300):
\( f = \dfrac{64}{Re} \)
Pressure Drop (ΔP):
\( \Delta P = f \dfrac{L}{D} \dfrac{\rho V^2}{2} \)
Where:
– \( \rho \) is the fluid density (assumed to be 1000 kg/m³ for water).
– \( \Delta P \) is in Pascals (Pa).
Parameter Descriptions
Flow Rate (Q): The volume of fluid passing a point per unit time.
Pipe Diameter (D): The internal diameter of the pipe through which the fluid flows.
Pipe Length (L): The total length of the pipe the fluid travels through.
Pipe Roughness (ε): A measure of the roughness of the internal pipe surface, affecting friction.
Kinematic Viscosity (ν): The fluid’s resistance to flow and shear, dependent on temperature.
Pipe Diagram
