What Is the Bernoulli Equation Fluid Pressure & Velocity Calculator?
Bernoulli’s equation relates the pressure, velocity, and elevation in moving fluids along an idealized streamline.
It shows that an increase in the speed of a fluid occurs simultaneously with a decrease in static pressure.
How Does the Bernoulli Equation Fluid Pressure & Velocity Calculator Work?
Calculates kinetic pressure difference: 0.5 × ρ × (v₁² - v₂²).
Calculates potential hydrostatic head difference: ρ × g × (h₁ - h₂).
Adds these terms to inlet pressure P₁ to determine outlet pressure P₂.
Bernoulli Equation Fluid Pressure & Velocity Calculator Formula & Variables
The core mathematical equation utilized by this calculator is expressed as:
P₂ = P₁ + 0.5 × ρ × (v₁² - v₂²) + ρ × g × (h₁ - h₂)
Conservation of mechanical energy for inviscid, steady, incompressible streamline fluid flow.
How to Use the Bernoulli Equation Fluid Pressure & Velocity Calculator
- Enter inlet pressure, velocity, and elevation.
- Enter outlet velocity and elevation.
- Select the fluid type to evaluate P₂.
Step-by-Step Example Calculation
Water accelerating from 2 m/s to 6 m/s with 2m elevation climb
Input Values:
p1Kpa:200
v1Ms:2
h1M:0
v2Ms:6
h2M:2
fluidType:water
Understanding Your Result
Displays downstream static pressure in both kPa and PSI.
Factors That Affect the Result
- Viscous boundary layer shearing and pipe friction (accounted for separately via Darcy-Weisbach).
When Should You Use This Calculator?
- Venturi flow meters, carburetor throats, pitot tubes, and siphon hydraulic design.
Assumptions & Limitations
- Valid for steady, incompressible, frictionless streamline flow.
Frequently Asked Questions
Calculation Accuracy & Reference Note
Fundamental Navier-Stokes simplification for inviscid flow.