MONTINSKY
This function estimates nucleate boiling heat transfer coefficient via the Montinsky correlation as a function of saturation pressure, critical pressure, and either excess wall temperature or heat flux.
In practical use, the model has the form:
h = f\left(P, P_c, \Delta T_e\right) \; \text{or} \; h = f\left(P, P_c, q\right)
It provides a pressure-based empirical boiling coefficient for engineering calculations.
Excel Usage
=MONTINSKY(P, Pc, Te, q)
P(float, required): Saturation pressure of fluid (Pa).Pc(float, required): Critical pressure of fluid (Pa).Te(float, optional, default: null): Excess wall temperature (K).q(float, optional, default: null): Heat flux (W/m^2).
Returns (float): Heat transfer coefficient (W/m^2/K), or an error message if invalid.
Example 1: Water boiling with excess temperature
Inputs:
| P | Pc | Te |
|---|---|---|
| 101325 | 22048321 | 4.3 |
Excel formula:
=MONTINSKY(101325, 22048321, 4.3)
Expected output:
1185.05
Example 2: Water boiling with heat flux
Inputs:
| P | Pc | q |
|---|---|---|
| 101325 | 22048321 | 22000 |
Excel formula:
=MONTINSKY(101325, 22048321, 22000)
Expected output:
3299.05
Example 3: Higher pressure with excess temperature
Inputs:
| P | Pc | Te |
|---|---|---|
| 300000 | 22048321 | 8 |
Excel formula:
=MONTINSKY(300000, 22048321, 8)
Expected output:
9895.4
Example 4: Higher pressure with heat flux
Inputs:
| P | Pc | q |
|---|---|---|
| 300000 | 22048321 | 35000 |
Excel formula:
=MONTINSKY(300000, 22048321, 35000)
Expected output:
5588.75
Python Code
Show Code
from ht.boiling_nucleic import Montinsky as ht_Montinsky
def Montinsky(P, Pc, Te=None, q=None):
"""
Compute nucleate boiling heat transfer coefficient using the Montinsky correlation.
See: https://ht.readthedocs.io/en/latest/ht.boiling_nucleic.html
This example function is provided as-is without any representation of accuracy.
Args:
P (float): Saturation pressure of fluid (Pa).
Pc (float): Critical pressure of fluid (Pa).
Te (float, optional): Excess wall temperature (K). Default is None.
q (float, optional): Heat flux (W/m^2). Default is None.
Returns:
float: Heat transfer coefficient (W/m^2/K), or an error message if invalid.
"""
try:
return ht_Montinsky(P=P, Pc=Pc, Te=Te, q=q)
except Exception as e:
return f"Error: {str(e)}"Online Calculator
Saturation pressure of fluid (Pa).
Critical pressure of fluid (Pa).
Excess wall temperature (K).
Heat flux (W/m^2).