ISENTROPIC_T_RISE

Overview

Calculate the temperature rise for isentropic compression or expansion.

Excel Usage

=ISENTROPIC_T_RISE(temp_init, p_inlet, p_outlet, k_isentropic, efficiency)

• temp_init (float, required): Initial temperature of gas [K]
• p_inlet (float, required): Initial pressure of gas [Pa]
• p_outlet (float, required): Final pressure of gas [Pa]
• k_isentropic (float, required): Isentropic exponent of the gas (Cp/Cv) [-]
• efficiency (float, optional, default: 1): Isentropic efficiency of the process [-]

Returns (float): Final temperature of gas after compression/expansion [K]

Examples

Example 1: Compression with 8x pressure ratio

Inputs:

temp_init	p_inlet	p_outlet	k_isentropic
286.8	54050	432400	1.4

Excel formula:

=ISENTROPIC_T_RISE(286.8, 54050, 432400, 1.4)

Expected output:

519.5230938217768

Example 2: Compression with 80% efficiency

Inputs:

temp_init	p_inlet	p_outlet	k_isentropic	efficiency
300	100000	500000	1.4	0.8

Excel formula:

=ISENTROPIC_T_RISE(300, 100000, 500000, 1.4, 0.8)

Expected output:

518.9323532874671

Example 3: Expansion cooling

Inputs:

temp_init	p_inlet	p_outlet	k_isentropic
500	1000000	100000	1.4

Excel formula:

=ISENTROPIC_T_RISE(500, 1000000, 100000, 1.4)

Expected output:

258.9737339615606

Example 4: Small pressure ratio

Inputs:

temp_init	p_inlet	p_outlet	k_isentropic
300	100000	150000	1.3

Excel formula:

=ISENTROPIC_T_RISE(300, 100000, 150000, 1.3)

Expected output:

329.4258681436649

Python Code

import micropip
await micropip.install(["fluids"])
from fluids.compressible import isentropic_T_rise_compression as fluids_t_rise

def isentropic_t_rise(temp_init, p_inlet, p_outlet, k_isentropic, efficiency=1):
    """
    Calculate the temperature rise for isentropic compression or expansion.

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

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

    Args:
        temp_init (float): Initial temperature of gas [K]
        p_inlet (float): Initial pressure of gas [Pa]
        p_outlet (float): Final pressure of gas [Pa]
        k_isentropic (float): Isentropic exponent of the gas (Cp/Cv) [-]
        efficiency (float, optional): Isentropic efficiency of the process [-] Default is 1.

    Returns:
        float: Final temperature of gas after compression/expansion [K]
    """
    # Validate and convert inputs
    try:
        temp_init = float(temp_init)
    except (ValueError, TypeError):
        return "Invalid input: temp_init must be a number."

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

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

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

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

    # Validation
    if temp_init <= 0:
        return "Invalid input: temp_init must be positive."
    if p_inlet <= 0:
        return "Invalid input: p_inlet must be positive."
    if p_outlet <= 0:
        return "Invalid input: p_outlet must be positive."
    if k_isentropic <= 1:
        return "Invalid input: k_isentropic must be greater than 1."
    if efficiency <= 0 or efficiency > 1:
        return "Invalid input: efficiency must be between 0 and 1."

    try:
        result = fluids_t_rise(T1=temp_init, P1=p_inlet, P2=p_outlet, k=k_isentropic, eta=efficiency)
        return float(result)
    except Exception as e:
        return f"Error: Failed to compute isentropic temperature rise: {str(e)}"

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