CD_MORRISON

Overview

Calculate drag coefficient of a sphere using the Morrison correlation.

Excel Usage

=CD_MORRISON(Re)

• Re (float, required): Particle Reynolds number [-]

Returns (float): Drag coefficient [-], or error message (str) if input is invalid.

Examples

Example 1: Reynolds number of 200

Inputs:

Re
200

Excel formula:

=CD_MORRISON(200)

Expected output:

Result
0.7677

Example 2: Reynolds number of 1000

Inputs:

Re
1000

Excel formula:

=CD_MORRISON(1000)

Expected output:

Result
0.4841

Example 3: Reynolds number of 100000

Inputs:

Re
100000

Excel formula:

=CD_MORRISON(100000)

Expected output:

Result
0.4247

Example 4: High Reynolds number (500000)

Inputs:

Re
500000

Excel formula:

=CD_MORRISON(500000)

Expected output:

Result
0.0877

Python Code

import micropip
await micropip.install(["fluids"])
from fluids.drag import Morrison as fluids_Morrison

def cd_morrison(Re):
    """
    Calculate drag coefficient of a sphere using the Morrison correlation.

    See: https://fluids.readthedocs.io/fluids.drag.html#fluids.drag.Morrison

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

    Args:
        Re (float): Particle Reynolds number [-]

    Returns:
        float: Drag coefficient [-], or error message (str) if input is invalid.
    """
    # Validate Reynolds number
    try:
        Re = float(Re)
    except (ValueError, TypeError):
        return "Error: Re must be a number."

    if Re <= 0:
        return "Error: Re must be positive."

    try:
        result = fluids_Morrison(Re=Re)
        if result != result:  # NaN check
            return "Calculation resulted in NaN."
        return float(result)
    except Exception as e:
        return f"Error: {str(e)}"

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