Laser Engineering

Laser Cutting Gas Mass Flow Rate from Nozzle Diameter, Stagnation Pressure, and Temperature Calculator

Laser Cutting Gas Mass Flow Rate from Nozzle Diameter, Stagnation Pressure, and Temperature engineering calculator.

Quick Answer

Calculate Laser Cutting Gas Mass Flow Rate from Nozzle Diameter, Stagnation Pressure, and Temperature

Calculator

Mass Flow Rate (kg⁄s)
—

Result Interpretation

Laser Cutting Gas Mass Flow Rate from Nozzle Diameter, Stagnation Pressure, and Temperature Calculator computes Mass Flow Rate in kg/s using the defined engineering formula and the input values provided.

Worked Example

Verified calculation

Given:

  • Specific Heat Ratio (Cp/Cv) = 1.4
  • Discharge Coefficient = 0.92
  • Stagnation Pressure = 200000
  • Stagnation Temperature = 293.15
  • Nozzle Diameter = 0.001
  • Specific Gas Constant = 287

Expected Result:

  • Mass Flow Rate = 0.00034114741627717

Engineering Interpretation:

Under the given input conditions, the calculated result is: Mass Flow Rate = 0.00034114741627717 kg/s.

The actual numerical result is computed by the Runtime engine using the persisted tool definition. The values shown here come from automatically validated test cases.

Formula / Method

mass flow rate = discharge coefficient * (3.14159265358979 * pow(nozzle diameter / 2.0, 2.0)) * stagnation pressure * sqrt(Cp/Cv / (specific gas constant * stagnation temperature)) * pow(2.0 / (Cp/Cv + 1.0), (Cp/Cv + 1.0) / (2.0 * (Cp/Cv - 1.0)))

Formula family: formula_laser_laser_cutting_gas_flow_rate_vs_nozzle_diameter_and_pressure_selector

Variables

SymbolLabelRoleDescription
Cd Discharge Coefficient INPUT Discharge Coefficient
D_nozzle Nozzle Diameter INPUT Nozzle Diameter
P_stag Stagnation Pressure INPUT Stagnation Pressure
T_stag Stagnation Temperature INPUT Stagnation Temperature
k Specific Heat Ratio (Cp/Cv) INPUT Specific Heat Ratio (Cp/Cv)
R_specific Specific Gas Constant INPUT Specific Gas Constant
mass_flow_rate Mass Flow Rate OUTPUT Mass Flow Rate

Calculation Steps

  1. Enter the discharge coefficient in dimensionless.
  2. Enter the nozzle diameter in m.
  3. Enter the stagnation pressure in Pa.
  4. Enter the stagnation temperature in K.
  5. Enter the specific heat ratio (cp/cv) in dimensionless.
  6. Enter the specific gas constant in J/(kg·K).
  7. Step 1: Compute mass flow rate.
  8. Read the mass flow rate (kg/s) from the results.

Engineering Summary

Calculate Laser Cutting Gas Mass Flow Rate from Nozzle Diameter, Stagnation Pressure, and Temperature

Frequently Asked Questions

What does this calculator calculate?

The Laser Cutting Gas Mass Flow Rate from Nozzle Diameter, Stagnation Pressure, and Temperature Calculator estimates Mass Flow Rate based on the input parameters you provide

Why is discharge coefficient important in this calculation?

discharge coefficient is directly proportional to mass flow rate. When you enter discharge coefficient in dimensionless, the calculator uses it in the engineering formula to compute the output

How should I interpret the result mass flow rate?

The calculator outputs mass flow rate in kg/s. To convert to kg/h, multiply the result by 3600. To convert to g/s, multiply by 1000. The result is computed directly from the input values using the defined engineering formula

What units should I use for the inputs?

Enter each value in the units shown next to the input field: Discharge Coefficient (dimensionless), Nozzle Diameter (m), Stagnation Pressure (Pa), Stagnation Temperature (K), Specific Heat Ratio (Cp/Cv) (dimensionless), Specific Gas Constant (J/(kg·K)). Make sure all inputs use the specified units for consistent results

What assumptions does this calculator use?

This calculator uses automatically validated engineering formulas. Results are approximate and should be validated against site-specific conditions, applicable codes, and professional engineering judgment

Related Tools

Browse More Tools

Explore the full index of engineering calculators on this vertical site.