ECKERT

Calculates the Eckert number, relating kinetic energy scale to thermal enthalpy difference in flow.

Excel Usage

=ECKERT(V, Cp, dT)

V (float, required): Velocity (m/s)
Cp (float, required): Specific heat capacity at constant pressure (J/kg/K)
dT (float, required): Temperature difference (K)

Returns (float): Eckert number (float), or error message string.

Example 1: Eckert number for a moderate velocity rise

Inputs:

V	Cp	dT
10	2000	25

Excel formula:

=ECKERT(10, 2000, 25)

Expected output:

0.002

Example 2: Doubling velocity increases kinetic-to-thermal ratio

Inputs:

V	Cp	dT
20	2000	25

Excel formula:

=ECKERT(20, 2000, 25)

Expected output:

0.008

Example 3: Larger heat capacity lowers the Eckert number

Inputs:

V	Cp	dT
10	4000	25

Excel formula:

=ECKERT(10, 4000, 25)

Expected output:

0.001

Example 4: Larger temperature rise lowers the Eckert number

Inputs:

V	Cp	dT
10	2000	50

Excel formula:

=ECKERT(10, 2000, 50)

Expected output:

0.001

Python Code

Show Code

from fluids.core import Eckert as fluids_eckert

def eckert(V, Cp, dT):
    """
    Calculate the Eckert number using fluids.core.Eckert.

    See: https://fluids.readthedocs.io/fluids.core.html#fluids.core.Eckert

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

    Args:
        V (float): Velocity (m/s)
        Cp (float): Specific heat capacity at constant pressure (J/kg/K)
        dT (float): Temperature difference (K)

    Returns:
        float: Eckert number (float), or error message string.
    """
    # Convert inputs to float
    try:
        V = float(V)
        Cp = float(Cp)
        dT = float(dT)
    except Exception:
        return "Error: All parameters must be numeric values."

    # Validate inputs
    if Cp == 0 or dT == 0:
        return "Error: Cp and dT must be nonzero."

    # Call the fluids library function
    try:
        result = fluids_eckert(V=V, Cp=Cp, dT=dT)
        return result
    except Exception as e:
        return f"Error: Failed to calculate Eckert number: {str(e)}"

Online Calculator

V *

Velocity (m/s)

Cp *

Specific heat capacity at constant pressure (J/kg/K)

dT *

Temperature difference (K)