Pith Number

pith:NSA53V5Q

pith:2026:NSA53V5QFMBH3NKYXODHRSHYKR

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Effects of Thermal Boundary Conditions on Natural Convection and Entropy Generation in Non-Newtonian Power-Law Fluids

Lambert Theisen, Satyvir Singh

Thermal boundary conditions control the intensity of convection and the amount of entropy generated in non-Newtonian power-law fluids.

arxiv:2605.13633 v1 · 2026-05-13 · physics.flu-dyn · cs.CE · physics.comp-ph

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Claims

C1strongest claim

Thermal boundary conditions are found to play an important role in controlling the intensity and spatial distribution of flow, heat transfer, and irreversibility. In both geometries, uniform heating produces stronger and more distributed convective structures, while non-uniform sinusoidal heating localizes thermal forcing and consistently reduces total entropy generation.

C2weakest assumption

The assumption that the flow remains steady and strictly two-dimensional for the full range of Rayleigh numbers and power-law indices examined, which is invoked when the governing equations are solved without time dependence or three-dimensional terms.

C3one line summary

Simulations demonstrate that sinusoidal thermal boundary conditions reduce entropy generation in power-law fluid natural convection relative to uniform heating, with shear-thinning fluids producing stronger buoyancy-driven flow and higher Nusselt numbers.

References

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[1] F. P. Incropera, Convection heat transfer in electronic equipment cooling, J. Heat Transfer 110 (1988) 1097–1111. doi:10.1115/1.3250613 1988 · doi:10.1115/1.3250613

[2] Al-Hazmy, Analysis of coupled natural convection–conduction effects on the heat transport through hollow building blocks, Energy Build 2006 · doi:10.1016/j.enbuild.2005.08.010

[3] S. Ali, A.M. Sadoun, A. Fathy, A.W. Abdallah, Numerical modeling of magnetohydrodynamic buoyancy-driven convection for enhanced energy applications, Case Stud. Therm. Eng. 52 (2023) 103823. doi:10.101 2023 · doi:10.1016/j.csite.2023.103823

[4] M.F. Pakdaman, A. Lashkari, H. Basirat Tabrizi, R. Hosseini, Performance evaluation of a natural-convection solar air-heater with a rectangular-finned absorber plate, Energy Convers. Manage. 52 (2) (2 2011 · doi:10.1016/j.enconman.2010.09.017

[5] J.K. Novev, R.G. Compton, Natural convection effects in electrochemical systems, Curr. Opin. Electrochem. 7 (2018) 118–129. doi:10.1016/j.coelec.2017.09.010 2018 · doi:10.1016/j.coelec.2017.09.010

Receipt and verification

First computed	2026-05-18T02:44:17.721741Z
Builder	pith-number-builder-2026-05-17-v1
Signature	Pith Ed25519 (`pith-v1-2026-05`) · public key
Schema	pith-number/v1.0

Canonical hash

6c81ddd7b02b027db558bb8678c8f8544650484ab603d2552307d343b2ca4470

Aliases

arxiv: 2605.13633 · arxiv_version: 2605.13633v1 · doi: 10.48550/arxiv.2605.13633 · pith_short_12: NSA53V5QFMBH · pith_short_16: NSA53V5QFMBH3NKY · pith_short_8: NSA53V5Q

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Verify this Pith Number yourself

curl -sH 'Accept: application/ld+json' https://pith.science/pith/NSA53V5QFMBH3NKYXODHRSHYKR \
  | 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: 6c81ddd7b02b027db558bb8678c8f8544650484ab603d2552307d343b2ca4470

Canonical record JSON

{
  "metadata": {
    "abstract_canon_sha256": "bcae2f93dfe8b82fc20b8cdb1e3e5e8d8c08db80edb225a216060edee5e87e05",
    "cross_cats_sorted": [
      "cs.CE",
      "physics.comp-ph"
    ],
    "license": "http://creativecommons.org/licenses/by/4.0/",
    "primary_cat": "physics.flu-dyn",
    "submitted_at": "2026-05-13T15:00:15Z",
    "title_canon_sha256": "d76d7027be73b5cbcd204cb00855e8722b792847663a57eddf6ce062bb3be4ff"
  },
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  "source": {
    "id": "2605.13633",
    "kind": "arxiv",
    "version": 1
  }
}