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Numerical Simulation of Thermal Newtonian Fluid Flow Driven by Horizontal Convection in A Porous Cavity

Jurnal Matematika, Statistika dan Komputasi · Vol. 22 No. 2 (2026) · pp. 407–416

DOI
10.20956/j.v22i2.47866
ISSN
2614-8811, 1858-1382
Published
2026-01-10
Publisher
Department of Mathematics, Hasanuddin University
Language
en
License
creativecommons.org/licenses/by/4.0

Abstract

Abstract Horizontal convection is a distinct form of natural convection where flow is generated by uneven buoyancy along a horizontal boundary. This study presents a numerical simulation of horizontal convection within a porous rectangular cavity. The flow is driven by a non-uniform heating on the top surface, while the other boundaries are thermally insulated. We derive a governing equation involving four dimensionless parameters: the Darcy number, the Rayleigh number, the viscosity ratio, and the geometric aspect ratio. This equation is solved numerically through the finite difference method. Our investigation emphasizes how the Rayleigh number and viscosity ratio influence the flow of the thermal fluid. The results show that viscosity inhibits convection, thereby weakening the thermal boundary layer.

Keywords

Collaboration network of the authors

16 authors · 32 co-authorship links · 5 across different organisations

Hover or tap a name to highlight its co-authors. Double-click to open the author's page.

  • Jenderal Soedirman University
  • Bandung Institute of Technology
  • Lampung University
  • Syarif Hidayatullah State Islamic University Jakarta
  • Affiliation unknown
  • Different organisations
  • Same organisation
  • Affiliation unknown
  • Thicker line = more joint articles · bigger circle = more articles
Show as table
Co-authorOrganisationJoint articles
Kuntjoro Adji SidartoBandung Institute of Technology2
Mashuri MashuriJenderal Soedirman University1
Yayah ZakiyahJenderal Soedirman University1
Susi AgustianingsihJenderal Soedirman University1
Renny RennyJenderal Soedirman University1
Aang NuryamanLampung University1
Yogi Wibisono BudhiAffiliation unknown1
Rini MarwatiAffiliation unknown1
Nina FitriyatiSyarif Hidayatullah State Islamic University Jakarta1
S. SutawanirAffiliation unknown1
Iskandar FahmiAffiliation unknown1
Anggita SeptianiAffiliation unknown1
Kasbawati KasbawatiAffiliation unknown1

Affiliations come from OpenAlex; journal OAI-PMH metadata carries none. Authors without an OpenAlex ID are matched by name, which can merge or split people.

Metadata source: OAI-PMH (metadata jurnal) https://journal.unhas.ac.id/index.php/jmsk/oai, first harvested 5 Nov 2026, last seen 8 Nov 2026.
Original metadata (oai_dc) 
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	<dc:title xml:lang="en">Numerical Simulation of Thermal Newtonian Fluid Flow Driven by Horizontal Convection in A Porous Cavity</dc:title>
	<dc:creator xml:lang="en">Reorita, Rina</dc:creator>
	<dc:creator xml:lang="en">Gunawan, Agus Yodi</dc:creator>
	<dc:creator xml:lang="en">Erwina, Novry</dc:creator>
	<dc:subject xml:lang="en">heat transfer</dc:subject>
	<dc:subject xml:lang="en">porous medium</dc:subject>
	<dc:subject xml:lang="en">non-uniform heating</dc:subject>
	<dc:subject xml:lang="en">finite difference</dc:subject>
	<dc:description xml:lang="en">Abstract 
Horizontal convection is a distinct form of natural convection where flow is generated by uneven buoyancy along a horizontal boundary. This study presents a numerical simulation of horizontal convection within a porous rectangular cavity. The flow is driven by a non-uniform heating on the top surface, while the other boundaries are thermally insulated. We derive a governing equation involving four dimensionless parameters: the Darcy number, the Rayleigh number, the viscosity ratio, and the geometric aspect ratio. This equation is solved numerically through the finite difference method. Our investigation emphasizes how the Rayleigh number and viscosity ratio influence the flow of the thermal fluid. The results show that viscosity inhibits convection, thereby weakening the thermal boundary layer.</dc:description>
	<dc:publisher xml:lang="en">Department of Mathematics, Hasanuddin University</dc:publisher>
	<dc:date>2026-01-10</dc:date>
	<dc:type>info:eu-repo/semantics/article</dc:type>
	<dc:type>info:eu-repo/semantics/publishedVersion</dc:type>
	<dc:format>application/pdf</dc:format>
	<dc:identifier>https://journal.unhas.ac.id/index.php/jmsk/article/view/47866</dc:identifier>
	<dc:identifier>10.20956/j.v22i2.47866</dc:identifier>
	<dc:source xml:lang="en">Jurnal Matematika, Statistika dan Komputasi; Vol. 22 No. 2 (2026): JANUARY 2026; 407-416</dc:source>
	<dc:source>2614-8811</dc:source>
	<dc:source>1858-1382</dc:source>
	<dc:language>en</dc:language>
	<dc:relation>https://journal.unhas.ac.id/index.php/jmsk/article/view/47866/13993</dc:relation>
	<dc:rights xml:lang="en">Copyright (c) 2026 Jurnal Matematika, Statistika dan Komputasi</dc:rights>
	<dc:rights xml:lang="en">https://creativecommons.org/licenses/by/4.0</dc:rights>
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