Pith Number

pith:UWZE5O2G

pith:2026:UWZE5O2GOFJ2ZZG4EL3KMRWHEC

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Magnetohydrodynamic drag on an oscillating sphere in a rotating spherical cavity

David C\'ebron, Paolo Personnettaz

A unified boundary-layer theory gives the magnetohydrodynamic drag on an oscillating sphere in a rotating cavity.

arxiv:2604.10594 v2 · 2026-04-12 · physics.flu-dyn · physics.geo-ph

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Claims

C1strongest claim

We derive boundary layers and obtain the magnetohydrodynamic drag from Alfvén-wave radiation, viscous effects and Ohmic dissipation (accounting for pressure effects). The theory is extended to non-axisymmetric equatorial modes and to rotation perturbations of the polar mode... Our magnetohydrodynamic simulations validate our theory, providing a quantitative framework for planetary interiors.

C2weakest assumption

The analysis assumes small-amplitude translational oscillations so that linearised boundary-layer approximations remain valid, and that electromagnetic contrasts between the solid sphere and fluid (or outer boundary) can be treated through standard matching conditions without additional surface effects.

C3one line summary

A boundary-layer model unifies viscous, Alfvén-wave, and Ohmic contributions to the drag on an oscillating sphere in a rotating MHD cavity, extended to equatorial modes and validated by simulations for planetary applications.

Receipt and verification

First computed	2026-07-07T03:18:55.622086Z
Builder	pith-number-builder-2026-05-17-v1
Signature	Pith Ed25519 (`pith-v1-2026-05`) · public key
Schema	pith-number/v1.0

Canonical hash

a5b24ebb467153ace4dc22f6a646c720b786c829452660e025f1215a5766cd53

Aliases

arxiv: 2604.10594 · arxiv_version: 2604.10594v2 · doi: 10.48550/arxiv.2604.10594 · pith_short_12: UWZE5O2GOFJ2 · pith_short_16: UWZE5O2GOFJ2ZZG4 · pith_short_8: UWZE5O2G

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Verify this Pith Number yourself

curl -sH 'Accept: application/ld+json' https://pith.science/pith/UWZE5O2GOFJ2ZZG4EL3KMRWHEC \
  | 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: a5b24ebb467153ace4dc22f6a646c720b786c829452660e025f1215a5766cd53

Canonical record JSON

{
  "metadata": {
    "abstract_canon_sha256": "34192cfc93889151aca0430362b4b4a194e795d0b5678f88628c47a95dea0451",
    "cross_cats_sorted": [
      "physics.geo-ph"
    ],
    "license": "http://creativecommons.org/licenses/by/4.0/",
    "primary_cat": "physics.flu-dyn",
    "submitted_at": "2026-04-12T12:03:23Z",
    "title_canon_sha256": "7f68f8a1b2951407f381b05c3ee5ae123c8c64a2038a77fc478bdeb982870b6e"
  },
  "schema_version": "1.0",
  "source": {
    "id": "2604.10594",
    "kind": "arxiv",
    "version": 2
  }
}