NU_PLATE_MULEYMANG

This function estimates the Nusselt number for single-phase flow in chevron-style plate heat exchangers using the Muley-Manglik correlation. It accounts for Reynolds number, Prandtl number, chevron angle, and plate enlargement factor.

The correlation uses multiplicative empirical polynomials and a Reynolds exponent term:

Nu = A(\beta)\,B(\phi_e)\,Re^{n(\beta)}Pr^{1/3}

where A(\beta) and n(\beta) depend on chevron angle and B(\phi_e) depends on enlargement factor. This gives a hydraulic-diameter-based convection estimate for corrugated plate geometries.

Excel Usage

=NU_PLATE_MULEYMANG(Re, Pr, chevron_angle, plate_enlargement_factor)

Re (float, required): Reynolds number with respect to hydraulic diameter of the channels (-).
Pr (float, required): Prandtl number calculated with bulk fluid properties (-).
chevron_angle (float, required): Plate chevron angle relative to flow direction (degrees).
plate_enlargement_factor (float, required): Surface area enlargement factor due to corrugations (-).

Returns (float): Nusselt number with respect to hydraulic diameter, or error message if invalid.

Example 1: Example from documentation

Inputs:

Re	Pr	chevron_angle	plate_enlargement_factor
2000	0.7	45	1.18

Excel formula:

=NU_PLATE_MULEYMANG(2000, 0.7, 45, 1.18)

Expected output:

36.4909

Example 2: Higher Reynolds number with larger enlargement

Inputs:

Re	Pr	chevron_angle	plate_enlargement_factor
5000	0.7	60	1.3

Excel formula:

=NU_PLATE_MULEYMANG(5000, 0.7, 60, 1.3)

Expected output:

138.478

Example 3: Lower chevron angle case

Inputs:

Re	Pr	chevron_angle	plate_enlargement_factor
1500	1.2	30	1.1

Excel formula:

=NU_PLATE_MULEYMANG(1500, 1.2, 30, 1.1)

Expected output:

23.1601

Example 4: Mid-range inputs

Inputs:

Re	Pr	chevron_angle	plate_enlargement_factor
3000	2	45	1.4

Excel formula:

=NU_PLATE_MULEYMANG(3000, 2, 45, 1.4)

Expected output:

123.19

Python Code

Show Code

from ht.conv_plate import Nu_plate_Muley_Manglik as ht_Nu_plate_Muley_Manglik

def Nu_plate_MuleyMang(Re, Pr, chevron_angle, plate_enlargement_factor):
    """
    Calculate Nusselt number for chevron plate exchangers using the Muley-Manglik correlation.

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

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

    Args:
        Re (float): Reynolds number with respect to hydraulic diameter of the channels (-).
        Pr (float): Prandtl number calculated with bulk fluid properties (-).
        chevron_angle (float): Plate chevron angle relative to flow direction (degrees).
        plate_enlargement_factor (float): Surface area enlargement factor due to corrugations (-).

    Returns:
        float: Nusselt number with respect to hydraulic diameter, or error message if invalid.
    """
    try:
        result = ht_Nu_plate_Muley_Manglik(
            Re=Re,
            Pr=Pr,
            chevron_angle=chevron_angle,
            plate_enlargement_factor=plate_enlargement_factor,
        )
        return float(result)
    except Exception as e:
        return f"Error: {str(e)}"

Online Calculator

Re *

Reynolds number with respect to hydraulic diameter of the channels (-).

Pr *

Prandtl number calculated with bulk fluid properties (-).

chevron_angle *

Plate chevron angle relative to flow direction (degrees).

plate_enlargement_factor *

Surface area enlargement factor due to corrugations (-).