AGGOUR

Computes the two-phase convective heat transfer coefficient for liquid-gas flow in a tube using the Aggour correlation. The model supports laminar and turbulent behavior and can include viscosity correction effects when wall viscosity is supplied.

The correlation is represented in Nusselt-form and converted to heat transfer coefficient form:

h = \frac{Nu\,k_l}{D}

where Nu is computed from flow regime-dependent expressions using liquid properties, geometry, and two-phase flow descriptors.

Excel Usage

=AGGOUR(m, x, alpha, D, rhol, Cpl, kl, mu_b, mu_w, L, turbulent)

m (float, required): Mass flow rate (kg/s).
x (float, required): Quality at the tube interval (-).
alpha (float, required): Void fraction in the tube (-).
D (float, required): Tube diameter (m).
rhol (float, required): Liquid density (kg/m^3).
Cpl (float, required): Liquid heat capacity at constant pressure (J/kg/K).
kl (float, required): Liquid thermal conductivity (W/m/K).
mu_b (float, required): Liquid viscosity at bulk conditions (Pa*s).
mu_w (float, optional, default: null): Liquid viscosity at wall temperature (Pa*s).
L (float, optional, default: null): Tube length (m).
turbulent (bool, optional, default: null): Force turbulent correlation selection (-).

Returns (float): Heat transfer coefficient (W/m^2/K).

Example 1: Aggour example

Inputs:

m	x	alpha	D	rhol	Cpl	kl	mu_b
1	0.9	0.9	0.3	1000	2300	0.6	0.001

Excel formula:

=AGGOUR(1, 0.9, 0.9, 0.3, 1000, 2300, 0.6, 0.001)

Expected output:

420.935

Example 2: Laminar with viscosity correction

Inputs:

m	x	alpha	D	rhol	Cpl	kl	mu_b	mu_w	L
0.2	0.1	0.2	0.02	998	4180	0.6	0.001	0.0012	2

Excel formula:

=AGGOUR(0.2, 0.1, 0.2, 0.02, 998, 4180, 0.6, 0.001, 0.0012, 2)

Expected output:

4158.46

Example 3: Forced turbulent regime

Inputs:

m	x	alpha	D	rhol	Cpl	kl	mu_b	turbulent
2	0.5	0.7	0.05	950	3900	0.55	0.0008	true

Excel formula:

=AGGOUR(2, 0.5, 0.7, 0.05, 950, 3900, 0.55, 0.0008, TRUE)

Expected output:

16366.8

Example 4: Longer tube length

Inputs:

m	x	alpha	D	rhol	Cpl	kl	mu_b	L
0.5	0.2	0.3	0.03	990	4100	0.58	0.0011	5

Excel formula:

=AGGOUR(0.5, 0.2, 0.3, 0.03, 990, 4100, 0.58, 0.0011, 5)

Expected output:

4524.48

Python Code

Show Code

from ht.conv_two_phase import Aggour as ht_Aggour

def Aggour(m, x, alpha, D, rhol, Cpl, kl, mu_b, mu_w=None, L=None, turbulent=None):
    """
    Calculate two-phase heat transfer coefficient using the Aggour correlation.

    See: https://ht.readthedocs.io/en/latest/ht.conv_two_phase.html

    This example function is provided as-is without any representation of accuracy.

    Args:
        m (float): Mass flow rate (kg/s).
        x (float): Quality at the tube interval (-).
        alpha (float): Void fraction in the tube (-).
        D (float): Tube diameter (m).
        rhol (float): Liquid density (kg/m^3).
        Cpl (float): Liquid heat capacity at constant pressure (J/kg/K).
        kl (float): Liquid thermal conductivity (W/m/K).
        mu_b (float): Liquid viscosity at bulk conditions (Pa*s).
        mu_w (float, optional): Liquid viscosity at wall temperature (Pa*s). Default is None.
        L (float, optional): Tube length (m). Default is None.
        turbulent (bool, optional): Force turbulent correlation selection (-). Default is None.

    Returns:
        float: Heat transfer coefficient (W/m^2/K).
    """
    try:
        return ht_Aggour(
            m=m,
            x=x,
            alpha=alpha,
            D=D,
            rhol=rhol,
            Cpl=Cpl,
            kl=kl,
            mu_b=mu_b,
            mu_w=mu_w,
            L=L,
            turbulent=turbulent,
        )
    except Exception as e:
        return f"Error: {str(e)}"

Online Calculator

m *

Mass flow rate (kg/s).

x *

Quality at the tube interval (-).

alpha *

Void fraction in the tube (-).

D *

Tube diameter (m).

rhol *

Liquid density (kg/m^3).

Cpl *

Liquid heat capacity at constant pressure (J/kg/K).

kl *

Liquid thermal conductivity (W/m/K).

mu_b *

Liquid viscosity at bulk conditions (Pa*s).

mu_w

Liquid viscosity at wall temperature (Pa*s).

Tube length (m).

turbulent

Force turbulent correlation selection (-).