{
  "abstract": "We investigate the dispersion of a reactive solute in a couple-stress fluid flowing between two parallel plates under the combined effects of pressure-driven flow, buoyancy, and an induced magnetic field. The model incorporates first-order heterogeneous reactions at both channel walls alongside a bulk reaction. Using Mei's multiscale homogenization technique accurate to third order, we develop a higher-order asymptotic formulation to determine the effective longitudinal dispersion coefficient and concentration field. Analytical predictions are complemented by Brownian dynamics simulations and finite-difference solutions, while the Aris method of moments quantifies transient mean displacement, spatial variance, and effective dispersivity. The hydrodynamic analysis reveals a singular branch in the velocity solution when the Hartmann number equals half the couple-stress parameter and identifies a characteristic quarter-power scaling between the Hartmann number and couple-stress parameter, separating couple-stress- and magnetically dominated regimes. The model recovers classical Taylor-dispersion behavior in the non-reactive Newtonian limit and agrees well with experimental measurements. Couple-stress rheology and magnetic damping suppress shear-induced dispersion, whereas buoyancy enhances dispersion through additional transverse velocity gradients. A distinct saturation regime of the dispersion coefficient emerges with an increasing couple-stress parameter, while unequal wall absorption induces persistent transverse asymmetry, and stronger absorption enhances solute removal near the source. Numerical and stochastic results validate the analytical framework while resolving higher-order concentration structures and particle-scale wall adsorption.",
  "abstract_shown": true,
  "affiliations": [],
  "article_type": null,
  "arxiv": "2609.11099",
  "author_total": 3,
  "authors": [
    {
      "name": "Aritra Roy"
    },
    {
      "name": "Debabrata Das"
    },
    {
      "name": "Pranab Kumar Mondal"
    }
  ],
  "bibtex": "https://research.draconitic.com/paper/6t9peeh9ggrw9.bib",
  "cited_by": 0,
  "doi": "10.48550/arxiv.2609.11099",
  "fulltext_url": null,
  "id": "6t9peeh9ggrw9",
  "issns": [],
  "landing_url": "https://arxiv.org/abs/2609.11099",
  "language": null,
  "licence": "LicenseRef-arXiv-nonexclusive-1.0",
  "licence_label": "arXiv licence",
  "licence_source": "article",
  "licence_url": "http://arxiv.org/licenses/nonexclusive-distrib/1.0/",
  "metadata_licence": "CC0-1.0",
  "native_subjects": [
    [
      "arxiv",
      "physics.flu-dyn"
    ],
    [
      "openalex",
      "1507|Rheology and Fluid Dynamics Studies"
    ]
  ],
  "openalex": "W7212307517",
  "pdf_url": "https://arxiv.org/pdf/2609.11099",
  "pmcid": null,
  "pmid": null,
  "published": "2026-09-10",
  "publisher": null,
  "ris": "https://research.draconitic.com/paper/6t9peeh9ggrw9.ris",
  "sources": [
    {
      "first_seen": "2026-10-30T12:20:26Z",
      "native_id": "2609.11099",
      "source": "arxiv",
      "url": "https://arxiv.org/abs/2609.11099"
    }
  ],
  "subjects": [
    {
      "field": "physics",
      "origin": "arxiv:physics.flu-dyn",
      "subfield": "fluid-dynamics"
    }
  ],
  "title": "Correlative effects of induced magnetic field-buoyancy on reactive solute dispersion dynamics in couple-stress fluids",
  "title_text": "Correlative effects of induced magnetic field-buoyancy on reactive solute dispersion dynamics in couple-stress fluids",
  "type": "preprint",
  "updated_at": "2026-10-30T12:20:26Z",
  "url": "https://research.draconitic.com/paper/6t9peeh9ggrw9",
  "venue": "arXiv",
  "versions": []
}