CD_BARATI_HIGH

Computes the drag coefficient of a smooth sphere from the particle Reynolds number using the high-range Barati formulation. This variant extends empirical coverage to higher Reynolds numbers than the standard Barati form.

C_D = f(Re)

Excel Usage

=CD_BARATI_HIGH(Re)

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

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

Example 1: Reynolds number of 200

Inputs:

Re
200

Excel formula:

=CD_BARATI_HIGH(200)

Expected output:

0.773054

Example 2: Reynolds number of 10000

Inputs:

Re
10000

Excel formula:

=CD_BARATI_HIGH(10000)

Expected output:

0.410931

Example 3: Reynolds number of 100000

Inputs:

Re
100000

Excel formula:

=CD_BARATI_HIGH(100000)

Expected output:

0.46701

Example 4: High Reynolds number (500000)

Inputs:

Re
500000

Excel formula:

=CD_BARATI_HIGH(500000)

Expected output:

0.092437

Python Code

Show Code

from fluids.drag import Barati_high as fluids_Barati_high

def cd_barati_high(Re):
    """
    Calculate drag coefficient of a sphere using the Barati high-Re correlation (valid to Re=1E6).

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

    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.
    """
    try:
      Re = float(Re)
      if Re <= 0:
        return "Error: Re must be positive."

      result = fluids_Barati_high(Re=Re)
      if result != result:  # NaN check
        return "Error: Calculation resulted in NaN."
      return float(result)
    except (ValueError, TypeError):
      return "Error: Re must be a number."
    except Exception as e:
      return f"Error: {str(e)}"

Online Calculator

Re *

Particle Reynolds number [-]