MORTON
Excel Usage
=MORTON(rhol, rhog, mul, sigma, g)rhol(float, required): Density of liquid phase [kg/m^3]rhog(float, required): Density of gas phase [kg/m^3]mul(float, required): Viscosity of liquid phase [Pa*s]sigma(float, required): Surface tension between liquid-gas phase [N/m]g(float, optional, default: 9.80665): Acceleration due to gravity [m/s^2]
Returns (float): Morton number [-]
Examples
Example 1: Water-air system
Inputs:
| rhol | rhog | mul | sigma |
|---|---|---|---|
| 1077 | 76.5 | 0.00427 | 0.023 |
Excel formula:
=MORTON(1077, 76.5, 0.00427, 0.023)Expected output:
2.311e-7
Example 2: High surface tension case
Inputs:
| rhol | rhog | mul | sigma |
|---|---|---|---|
| 1000 | 1 | 0.001 | 0.1 |
Excel formula:
=MORTON(1000, 1, 0.001, 0.1)Expected output:
0
Example 3: Low viscosity liquid
Inputs:
| rhol | rhog | mul | sigma |
|---|---|---|---|
| 800 | 2 | 0.0001 | 0.03 |
Excel formula:
=MORTON(800, 2, 0.0001, 0.03)Expected output:
0
Example 4: Custom gravity value
Inputs:
| rhol | rhog | mul | sigma | g |
|---|---|---|---|---|
| 1000 | 10 | 0.002 | 0.05 | 3.71 |
Excel formula:
=MORTON(1000, 10, 0.002, 0.05, 3.71)Expected output:
0
Python Code
from fluids.core import Morton as fluids_Morton
def morton(rhol, rhog, mul, sigma, g=9.80665):
"""
Calculate the Morton number.
See: https://fluids.readthedocs.io/fluids.core.html#fluids.core.Morton
This example function is provided as-is without any representation of accuracy.
Args:
rhol (float): Density of liquid phase [kg/m^3]
rhog (float): Density of gas phase [kg/m^3]
mul (float): Viscosity of liquid phase [Pa*s]
sigma (float): Surface tension between liquid-gas phase [N/m]
g (float, optional): Acceleration due to gravity [m/s^2] Default is 9.80665.
Returns:
float: Morton number [-]
"""
try:
rhol_val = float(rhol)
rhog_val = float(rhog)
mul_val = float(mul)
sigma_val = float(sigma)
g_val = float(g)
if rhol_val <= 0 or mul_val <= 0 or sigma_val <= 0 or g_val <= 0:
return "Error: Density, viscosity, surface tension, and gravity must be positive"
result = fluids_Morton(rhol_val, rhog_val, mul_val, sigma_val, g_val)
return float(result)
except Exception as e:
return f"Error: {str(e)}"