Hello,
I tried to roughly calculate the change in LLK (Low-Temperature Coolant) effect caused by my modifications to the air ducting, and I would like to discuss this here – also considering the likely sloppy construction of the LLK air ducting in the Polo 9N

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As a computational model, I used the analogy of a voltage divider (now things are getting very theoretical).
- The ambient temperature corresponds to the circuit's zero point.
- The increase in intake air temperature caused by the turbocharger corresponds to the input voltage Ue.
- The difference between the liquid level temperature (LLT) and the ambient temperature corresponds to the initial voltage (Ua).
- The thermal resistance of the coolant (°C / kW) corresponds to the "lower" potentiometer resistance R2.
- The temperature change of the charge air, depending on the cooling capacity (°C / kW), corresponds to the "upper" potentiometer resistance R1 - of course, only with a constant air mass flow rate.
I developed the LLK calculation based on the Poti formula: Ua / Ue = R2 / (R1 + R2).
Resolved based on R2 (corresponding to the thermal resistance of the heat transfer fluid).
R2 = (Ua / Ue) * (R1 + R2)
R2 = R1 * Ua / Ue + R2 * Ua / Ue
R2 - R2 * Ua / Ue = R1 * Ua / Ue = R2 * (1 - Ua / Ue)
R2 = (R1 * Ua / Ue) / (1 - Ua / Ue)
If one only wants to calculate the
ratio of several intercoolers' thermal resistances (electrically: R2a and R2b), R1 (corresponding to the here assumed constant °C/kW value of the intake air) can be replaced by 1.
R2a / R2b = (Uaa / Ue) / (Uab / Ue) * (1 - Uab / Ue) / (1 - Uaa / Ue)
In this case, Uaa and Uab are the initial voltages, which depend on R2a and R2b.
Abbreviated and calculated, the result is:
R2a / R2b = (Uaa - Uaa * Uab / Ue) / (Uab - Uaa * Uab / Ue)
The ratio of thermal resistances or the effectiveness of the liquid cooling system (LLK) is calculated based on the modifications made to the LLK.
(Taa - Taa * Tab / Te) / (Tab - Taa * Tab / Te)
Sure, I'll translate the text for you. Please provide the text you would like me to translate from German to English.
-> Taa or Tab represents the difference between the liquid level temperature (LLT) and the ambient temperature during measurement a or b. Measurement b.
-> The increase in charge air temperature is due to the pressure increase: Te = Δp * 75K (p in bar).
In this (certainly roughly simplified) calculation, I used the values Te = 97K and Ta of 58K and 68K, respectively (measurements taken with a humidifier upstream of the LLK inlet).
This results in a change in the LLK (liquid cooling) effect by a factor of approximately 1.57 – meaning that the effect of my LLK has increased by about 57% compared to the standard configuration due to the modifications made to the airflow!
In other words, the LLK (likely referring to a component or specification) of the Polo would have to be oversized by about 1/3 from the factory if the LLT (likely another component or specification) is to remain within the intended range under real-world installation conditions... assuming my calculation is fundamentally correct.
Your comments?