Pith Number

pith:HISETJA6

pith:2026:HISETJA6AXKUAVRP4J27K2WRDY

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A Model of a Buoyancy-Driven Heat Exchanger, with Implications for Optimal Design

Charles S. Peskin, Sylvie Bronsard

A first-principles model of a buoyancy-driven heat exchanger predicts a tradeoff between efficiency and air flow.

arxiv:2605.15409 v1 · 2026-05-14 · math.NA · cs.NA

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Claims

C1strongest claim

We introduce a model for a buoyancy-driven, air-to-air heat exchanger derived from first principles, featuring a conservative boundary condition at inflow based on the compressible Bernoulli equation, and a dissipative boundary condition at outflow based on pressure continuity. We solve for the steady-state behavior numerically and asymptotically, with excellent agreement between the two, and we study the tradeoff between the efficiency and air flow predicted by the model.

C2weakest assumption

The boundary conditions (compressible Bernoulli at inflow and pressure continuity at outflow) accurately capture the dominant physics at the open ends of the exchanger without needing additional empirical corrections or unmodeled losses.

C3one line summary

A first-principles model of a buoyancy-driven heat exchanger is solved numerically and asymptotically to quantify the tradeoff between thermal efficiency and air flow rate.

References

19 extracted · 19 resolved · 0 Pith anchors

[1] Effects of ventilation on the indoor spread of covid-19.Journal of Fluid Mechanics, 903:F1, 2020 2020

[2] Laurence Joseph Clancy.Aerodynamics. Wiley, 1975 1975

[3] Arthur N Cox.Allen’s astrophysical quantities. Springer, 2015 2015

[4] M. Grespan, A. Leonforte, L. Cal, M. Cavazzuti, and D. Angeli. Physics- based modelling of plate-fin heat exchangers.Energies, 18(3):495, 2025 2025

[5] Analytical and experi- mental analysis of a low-pressure heat exchanger suitable for passive ventilation.Energy and Buildings, 43(2-3):275–284, 2011 2011

Formal links

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Receipt and verification

First computed	2026-05-20T00:00:57.104531Z
Builder	pith-number-builder-2026-05-17-v1
Signature	Pith Ed25519 (`pith-v1-2026-05`) · public key
Schema	pith-number/v1.0

Canonical hash

3a2449a41e05d540562fe275f56ad11e0fe0de4621434c79e519c6f49c5b1490

Aliases

arxiv: 2605.15409 · arxiv_version: 2605.15409v1 · doi: 10.48550/arxiv.2605.15409 · pith_short_12: HISETJA6AXKU · pith_short_16: HISETJA6AXKUAVRP · pith_short_8: HISETJA6

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Verify this Pith Number yourself

curl -sH 'Accept: application/ld+json' https://pith.science/pith/HISETJA6AXKUAVRP4J27K2WRDY \
  | jq -c '.canonical_record' \
  | python3 -c "import sys,json,hashlib; b=json.dumps(json.loads(sys.stdin.read()), sort_keys=True, separators=(',',':'), ensure_ascii=False).encode(); print(hashlib.sha256(b).hexdigest())"
# expect: 3a2449a41e05d540562fe275f56ad11e0fe0de4621434c79e519c6f49c5b1490

Canonical record JSON

{
  "metadata": {
    "abstract_canon_sha256": "dcd49f6db7b2b48d65472dd12066ac8492f40b1f716d68580a0521dd0aaa6f4b",
    "cross_cats_sorted": [
      "cs.NA"
    ],
    "license": "http://creativecommons.org/licenses/by/4.0/",
    "primary_cat": "math.NA",
    "submitted_at": "2026-05-14T20:49:31Z",
    "title_canon_sha256": "90ac9df089e0d1086f08fc8ef2b163f306989c267f110cdf1a25254cc1b1372b"
  },
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  "source": {
    "id": "2605.15409",
    "kind": "arxiv",
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}