T_STAG_IDEAL

Overview

Calculate ideal stagnation temperature from velocity and heat capacity.

Excel Usage

=T_STAG_IDEAL(temp, velocity, cp)

• temp (float, required): Static temperature [K]
• velocity (float, required): Velocity [m/s]
• cp (float, required): Heat capacity at constant pressure [J/kg/K]

Returns (float): Stagnation temperature [K]

Examples

Example 1: Textbook example from Cengel

Inputs:

temp	velocity	cp
255.7	250	1005

Excel formula:

=T_STAG_IDEAL(255.7, 250, 1005)

Expected output:

286.79452736318405

Example 2: High speed aircraft

Inputs:

temp	velocity	cp
220	300	1005

Excel formula:

=T_STAG_IDEAL(220, 300, 1005)

Expected output:

264.77611940298505

Example 3: Low speed flow

Inputs:

temp	velocity	cp
300	50	1005

Excel formula:

=T_STAG_IDEAL(300, 50, 1005)

Expected output:

301.2437810945274

Example 4: Different gas (helium, high Cp)

Inputs:

temp	velocity	cp
300	200	5193

Excel formula:

=T_STAG_IDEAL(300, 200, 5193)

Expected output:

303.8513383400732

Python Code

import micropip
await micropip.install(["fluids"])
from fluids.compressible import T_stagnation_ideal as fluids_t_stag_ideal

def t_stag_ideal(temp, velocity, cp):
    """
    Calculate ideal stagnation temperature from velocity and heat capacity.

    See: https://fluids.readthedocs.io/fluids.compressible.html#fluids.compressible.T_stagnation_ideal

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

    Args:
        temp (float): Static temperature [K]
        velocity (float): Velocity [m/s]
        cp (float): Heat capacity at constant pressure [J/kg/K]

    Returns:
        float: Stagnation temperature [K]
    """
    # Validate and convert inputs
    try:
        temp = float(temp)
    except (ValueError, TypeError):
        return "Invalid input: temp must be a number."

    try:
        velocity = float(velocity)
    except (ValueError, TypeError):
        return "Invalid input: velocity must be a number."

    try:
        cp = float(cp)
    except (ValueError, TypeError):
        return "Invalid input: cp must be a number."

    # Validation
    if temp <= 0:
        return "Invalid input: temp must be positive."
    if cp <= 0:
        return "Invalid input: cp must be positive."

    try:
        result = fluids_t_stag_ideal(T=temp, V=velocity, Cp=cp)
        return float(result)
    except Exception as e:
        return f"Error: Failed to compute ideal stagnation temperature: {str(e)}"

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