Bernoulli Equation Calculator

How to Use the Bernoulli Equation Calculator

The Bernoulli Equation Calculator is designed to help you analyze fluid flow between two points by utilizing the Bernoulli equation. Follow the steps outlined below to successfully input your data and calculate the desired results.

Step 1: Gather Required Information

Before you begin using the calculator, ensure you have the following information ready:

• Pressure at Point 1 (P₁) in Pascals
• Velocity at Point 1 (v₁) in meters per second
• Height at Point 1 (h₁) in meters
• Pressure at Point 2 (P₂) in Pascals
• Velocity at Point 2 (v₂) in meters per second
• Height at Point 2 (h₂) in meters
• Fluid Density (ρ) in kilograms per cubic meter

Step 2: Input the Data

Enter the required data into the input fields of the calculator:

• Pressure at Point 1 (P₁) [Pa]: Enter a non-negative value representing the pressure at the first point of interest. This field is required.
• Velocity at Point 1 (v₁) [m/s]: Enter a non-negative value representing the velocity of the fluid at the first point. This field is required.
• Height at Point 1 (h₁) [m]: Enter the height at the first point. This field is required and does not have a minimum value constraint.
• Pressure at Point 2 (P₂) [Pa]: Enter a non-negative value representing the pressure at the second point of interest. This field is required.
• Velocity at Point 2 (v₂) [m/s]: Enter a non-negative value representing the velocity of the fluid at the second point. This field is required.
• Height at Point 2 (h₂) [m]: Enter the height at the second point. This field is required and does not have a minimum value constraint.
• Fluid Density (ρ) [kg/m³]: Enter a non-negative value for the fluid density. This field is required.

Step 3: Review the Calculated Results

After entering all the necessary input information, the calculator will compute the following results:

• Left Side of Equation: This result represents the Bernoulli energy expression for Point 1. It combines the pressure, kinetic, and potential energy at Point 1 and is presented in m²/s².
• Right Side of Equation: This result represents the Bernoulli energy expression for Point 2, calculated similarly to Point 1, and is also presented in m²/s².
• Conservation Error: This value indicates the absolute difference between the left and right sides of the equation, representing the energy conservation error. It is shown in m²/s² with six decimal precision.
• Is Energy Conserved?: This boolean result indicates whether the conservation error is smaller than a threshold of 0.000001 m²/s². If the error is below this threshold, it shows ‘Yes’; otherwise, it shows ‘No’.

Step 4: Interpretation

Utilize the calculated values to interpret the characteristics of the fluid flow between the two analyzed points. An understanding of Bernoulli’s Principle can help determine if energy conservation assumptions hold in your setup and if adjustments to your fluid system are necessary.