H_BOIL_HUANGSHEER
This function estimates boiling heat transfer in plate exchangers using the Huang-Sheer correlation. It depends on thermophysical properties, imposed heat flux, and saturation temperature rather than detailed exchanger geometry.
The correlation follows the structure:
h = f\left(k_l, q, T_{sat}, H_{vap}, \alpha_l, Pr_l, \rho_l, \rho_g, \sigma, \theta\right)
where bubble-scale effects are embedded in the model and the function returns h in W/m^2/K.
Excel Usage
=H_BOIL_HUANGSHEER(rhol, rhog, mul, kl, Hvap, sigma, Cpl, q, Tsat, angle)
rhol(float, required): Density of the liquid (kg/m^3).rhog(float, required): Density of the gas (kg/m^3).mul(float, required): Viscosity of the liquid (Pa*s).kl(float, required): Thermal conductivity of liquid (W/m/K).Hvap(float, required): Heat of vaporization (J/kg).sigma(float, required): Surface tension of liquid (N/m).Cpl(float, required): Heat capacity of liquid (J/kg/K).q(float, required): Heat flux (W/m^2).Tsat(float, required): Saturation temperature (K).angle(float, optional, default: 35): Contact angle of bubbles with wall (degrees).
Returns (float): Boiling heat transfer coefficient (W/m^2/K).
Example 1: Huang Sheer correlation example case
Inputs:
| rhol | rhog | mul | kl | Hvap | sigma | Cpl | q | Tsat |
|---|---|---|---|---|---|---|---|---|
| 567 | 18.09 | 0.000156 | 0.086 | 900000 | 0.02 | 2200 | 10000 | 279.15 |
Excel formula:
=H_BOIL_HUANGSHEER(567, 18.09, 0.000156, 0.086, 900000, 0.02, 2200, 10000, 279.15)
Expected output:
4401.06
Example 2: Huang Sheer correlation at lower heat flux
Inputs:
| rhol | rhog | mul | kl | Hvap | sigma | Cpl | q | Tsat | angle |
|---|---|---|---|---|---|---|---|---|---|
| 600 | 15 | 0.0002 | 0.09 | 850000 | 0.018 | 2300 | 8000 | 285 | 30 |
Excel formula:
=H_BOIL_HUANGSHEER(600, 15, 0.0002, 0.09, 850000, 0.018, 2300, 8000, 285, 30)
Expected output:
4140.01
Example 3: Huang Sheer correlation at higher heat flux
Inputs:
| rhol | rhog | mul | kl | Hvap | sigma | Cpl | q | Tsat | angle |
|---|---|---|---|---|---|---|---|---|---|
| 520 | 20 | 0.00014 | 0.08 | 950000 | 0.021 | 2100 | 15000 | 275 | 40 |
Excel formula:
=H_BOIL_HUANGSHEER(520, 20, 0.00014, 0.08, 950000, 0.021, 2100, 15000, 275, 40)
Expected output:
5334.58
Example 4: Huang Sheer correlation at mid heat flux
Inputs:
| rhol | rhog | mul | kl | Hvap | sigma | Cpl | q | Tsat | angle |
|---|---|---|---|---|---|---|---|---|---|
| 580 | 12 | 0.00017 | 0.085 | 870000 | 0.019 | 2250 | 12000 | 282 | 35 |
Excel formula:
=H_BOIL_HUANGSHEER(580, 12, 0.00017, 0.085, 870000, 0.019, 2250, 12000, 282, 35)
Expected output:
5102.77
Python Code
Show Code
from ht.boiling_plate import h_boiling_Huang_Sheer as ht_h_boiling_Huang_Sheer
def h_boil_HuangSheer(rhol, rhog, mul, kl, Hvap, sigma, Cpl, q, Tsat, angle=35):
"""
Calculate boiling heat transfer coefficient using Huang Sheer correlation.
See: https://ht.readthedocs.io/en/latest/ht.boiling_plate.html
This example function is provided as-is without any representation of accuracy.
Args:
rhol (float): Density of the liquid (kg/m^3).
rhog (float): Density of the gas (kg/m^3).
mul (float): Viscosity of the liquid (Pa*s).
kl (float): Thermal conductivity of liquid (W/m/K).
Hvap (float): Heat of vaporization (J/kg).
sigma (float): Surface tension of liquid (N/m).
Cpl (float): Heat capacity of liquid (J/kg/K).
q (float): Heat flux (W/m^2).
Tsat (float): Saturation temperature (K).
angle (float, optional): Contact angle of bubbles with wall (degrees). Default is 35.
Returns:
float: Boiling heat transfer coefficient (W/m^2/K).
"""
try:
result = ht_h_boiling_Huang_Sheer(rhol, rhog, mul, kl, Hvap, sigma, Cpl, q, Tsat, angle)
return result
except Exception as e:
return f"Error: {str(e)}"Online Calculator
Density of the liquid (kg/m^3).
Density of the gas (kg/m^3).
Viscosity of the liquid (Pa*s).
Thermal conductivity of liquid (W/m/K).
Heat of vaporization (J/kg).
Surface tension of liquid (N/m).
Heat capacity of liquid (J/kg/K).
Heat flux (W/m^2).
Saturation temperature (K).
Contact angle of bubbles with wall (degrees).