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Data-Center Aisle: Two 6 kW Racks vs an 85 °C Limit

“Two 6 kW racks share one cold-aisle CRAC supply — do their hotspots stay under our 85 °C limit, and where does the cold air actually go?”

CONDITIONAL 3D transient CFD — conjugate heat transfer with Boussinesq buoyancy and Smagorinsky turbulence · unedited output from a real Smidr run

The ask

An aisle segment holding two 6 kW server racks, cooled by a CRAC floor supply blowing 15 °C air at 3 m/s up the gap between them, with the return grille at the top far end of the room. The client wanted rack hotspot temperatures against an 85 °C component limit, the energy split between air removal and heat soaking into the racks, and a picture of where the supply air actually travels — does it reach the racks or short-circuit to the return?

What the pipeline ran

Smidr's structured finite-volume CFD solver: incompressible projection on a staggered grid, first-order upwind transport, conjugate heat transfer with per-solid film coefficients, Boussinesq buoyancy, and Smagorinsky eddy viscosity. The grid was 40 x 20 x 36 (28,800 cells), run for 25,000 time steps covering 83.1 seconds of simulated time, in 274 seconds of wall time. Eight automated QA checks ran on the result: seven passed, one warned — and that warning set the verdict.

The verdict

CONDITIONAL
  • Both rack temperature checks pass: rack A peaks at 78.8 °C and rack B at 77.0 °C against the 85 °C limit
  • Steady-state check warned: still transient after 25,000 steps — the pipeline downgraded itself and labeled all fields a snapshot, not a final answer
  • At cutoff, 5.5 kW of the 12 kW input was still flowing into rack thermal mass, so the snapshot hotspots are not settled steady-state values

Key numbers

MetricValueNote
VerdictCONDITIONALBoth rack limits pass, but flow was still transient at cutoff — fields are a snapshot
Rack A hotspot78.8 °Cvs 85 °C limit — 6.2 °C margin at the 83 s snapshot
Rack B hotspot77.0 °Cvs 85 °C limit — 8.0 °C margin at the 83 s snapshot
Heat input12,000 WTwo 6 kW racks
Heat rejected at boundaries6,498 WThe other 5,506 W was still charging rack thermal mass — proof the run had not reached steady state
Energy balance error0.03%Sources vs boundary fluxes plus storage; mass balance closed to 0.00%
Peak air speed3.0 m/sCRAC floor supply jet at 15 °C between the racks
Grid40 x 20 x 36 (28,800 cells)Smallest solid resolved at 10 cells across (3 recommended minimum)
Wall time274 s25,000 steps, 83.1 s of simulated time

Quality, stated plainly

Seven of eight automated QA checks passed: the solution stayed finite, post-projection divergence was 2.09e-14 1/s (mass conserved to machine precision), inflow/outflow imbalance was 0.00%, and the energy budget closed to 0.03% once thermal storage in the racks was counted. The eighth check is the honest one: after 25,000 steps the flow was still transient, so the pipeline refused to call this a converged steady state — it downgraded its own verdict to CONDITIONAL and instructs you to treat every field as a snapshot at 83 seconds. With 46% of input power still soaking into rack thermal mass, the reported hotspots will keep climbing toward steady state; the 6-8 °C margins are provisional. The method notes add two more caveats up front: first-order upwind transport is diffusive, so integral quantities (component temperatures, heat splits) are trustworthy while fine flow structure is not, and the film coefficients are model inputs that deserve a sensitivity sweep before hard sign-off.

Figures from the run

Temperature, vertical mid-plane: rack cores near 79 °C while the 15 °C floor supply jet cuts up the gap between them.
Temperature, vertical mid-plane: rack cores near 79 °C while the 15 °C floor supply jet cuts up the gap between them.
Air speed, vertical mid-plane: the 3 m/s CRAC jet rises between the racks and turns along the ceiling toward the top-corner return.
Air speed, vertical mid-plane: the 3 m/s CRAC jet rises between the racks and turns along the ceiling toward the top-corner return.
Temperature, horizontal mid-plane: plan view of both rack hotspots with the cold supply channel separating them.
Temperature, horizontal mid-plane: plan view of both rack hotspots with the cold supply channel separating them.

Why this matters

Before you commit to a CRAC capacity or a rack layout, this is the five-minute screening run that tells you whether cooling headroom exists and shows you the recirculation pattern that a spreadsheet estimate cannot. Just as important is what the pipeline did when the answer wasn't clean: instead of reporting a comfortable pass, it flagged that the racks were still heating at cutoff and downgraded its own verdict. A tool that tells you when not to trust it is the one you can actually use for go/no-go decisions.

Scope of this run

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