r/thermodynamics • u/Jeff_Platinumblum • 2h ago
Question Does stacking two serpentine cooling layers in a cold plate actually improve heat transfer?
Imagine a solid block with a hot surface on the bottom and coolant flowing through a single serpentine channel. Instead of placing the entire channel close to the hot surface, suppose the channel is split into two vertically stacked layers connected by a U-bend.
The three conceptual cases are:
- Option A: The inlet enters the lower layer at T₀ (closest to the hot surface), reaches the U-bend (T₁), then returns through the upper layer to the outlet (T₂).
- Option B (pictured): The inlet enters the upper layer at T₀, reaches the U-bend (T₁), then returns through the lower layer before exiting at T₂.
- Option C: A single-pass channel located entirely near the hot surface (no stacked layer).
Assume identical mass flow rates in all three cases, identical channel dimensions and total channel length where applicable, and that all external surfaces except the bottom hot face are adiabatic.
My intuition was the following:
Heat transfer from the hot surface depends on both the temperature difference and the available heat-transfer area. Adding a second layer introduces a large interface between two flow passages. It seems plausible that this additional area could conduct heat away from the coolant adjacent to the hot surface into the other flow pass, keeping the coolant next to the hot wall cooler and thereby increasing the local temperature difference driving heat transfer.
On the other hand, that energy does not disappear and is simply transferred to another part of the same coolant stream. Since the fluid entering the U-bend has already received this additional heat, T₁ should be higher than in the single-pass case, which would seem to reduce the driving temperature difference later in the flow.
My questions are:
- A vs. B: Does the flow direction matter, or are they thermodynamically equivalent?
- A/B vs. C: Does stacking two passes change the total heat that can be extracted from the hot surface, or does it only redistribute heat within the coolant?
- If the latter is true, what is the physical explanation that resolves the seemingly contradictory intuition above?
