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Double-diffusive thermosolutal Hadley–Prats flow: stability analysis.

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Title: Double-diffusive thermosolutal Hadley–Prats flow: stability analysis.
Authors: K V, Muhammed Rafeek1 (AUTHOR), Reddy, G. Janardhana1 (AUTHOR) gjr@cuk.ac.in, Matta, Anjanna2 (AUTHOR), Basha, Hussain3 (AUTHOR) hussainbmaths@gmail.com, Bég, O. Anwar4 (AUTHOR)
Source: International Journal of Modelling & Simulation. Feb2026, Vol. 46 Issue 1, p165-181. 17p.
Subjects: Stability theory, Flow instability, Computer simulation, Fluid friction, Buoyancy-driven flow, Turbulence
Abstract: A mathematical model is formulated to study the onset of double-diffusion fluid flow through an infinite permeable channel with internal heat source and viscous dissipation effects under the influence of convection conditions. Numerically, the dimensionless emerging eigenvalue problem is tackled using the fourth-order Runge–Kutta scheme, specifically applied to longitudinal roll disturbances. Critical values of wave number and vertical thermal Rayleigh number are determined. A higher value of Gebhart number is observed to correlate significantly with the destabilizing phenomena in Hadley–Prats flow. Concentration-based internal heat generation also strongly modifies the critical thermal Rayleigh number. Also, it is found that the horizontal mass flow and viscous dissipation exert a substantial influence on the onset of instability in the flow regime. Linear instability analysis indicates that greater values of Lewis number in the porous medium stabilize the convection process for both values of mass diffusion parameter (${C_z})$ C z). Enhancing ${C_z}$ C z from negative to positive values diminishes the critical thermal Rayleigh (${R_z}$ R z ) value and consequently induces instability in the porous medium. Increased concentration-based internal heat generation generates the destabilization process in the flow region. [ABSTRACT FROM AUTHOR]
Copyright of International Journal of Modelling & Simulation is the property of Taylor & Francis Ltd and its content may not be copied or emailed to multiple sites without the copyright holder's express written permission. Additionally, content may not be used with any artificial intelligence tools or machine learning technologies. However, users may print, download, or email articles for individual use. This abstract may be abridged. No warranty is given about the accuracy of the copy. Users should refer to the original published version of the material for the full abstract. (Copyright applies to all Abstracts.)
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DbLabel: Engineering Source
An: 191254943
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  Data: Double-diffusive thermosolutal Hadley–Prats flow: stability analysis.
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  Data: <searchLink fieldCode="AR" term="%22K+V%2C+Muhammed+Rafeek%22">K V, Muhammed Rafeek</searchLink><relatesTo>1</relatesTo> (AUTHOR)<br /><searchLink fieldCode="AR" term="%22Reddy%2C+G%2E+Janardhana%22">Reddy, G. Janardhana</searchLink><relatesTo>1</relatesTo> (AUTHOR)<i> gjr@cuk.ac.in</i><br /><searchLink fieldCode="AR" term="%22Matta%2C+Anjanna%22">Matta, Anjanna</searchLink><relatesTo>2</relatesTo> (AUTHOR)<br /><searchLink fieldCode="AR" term="%22Basha%2C+Hussain%22">Basha, Hussain</searchLink><relatesTo>3</relatesTo> (AUTHOR)<i> hussainbmaths@gmail.com</i><br /><searchLink fieldCode="AR" term="%22Bég%2C+O%2E+Anwar%22">Bég, O. Anwar</searchLink><relatesTo>4</relatesTo> (AUTHOR)
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  Data: <searchLink fieldCode="JN" term="%22International+Journal+of+Modelling+%26+Simulation%22">International Journal of Modelling & Simulation</searchLink>. Feb2026, Vol. 46 Issue 1, p165-181. 17p.
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  Data: <searchLink fieldCode="DE" term="%22Stability+theory%22">Stability theory</searchLink><br /><searchLink fieldCode="DE" term="%22Flow+instability%22">Flow instability</searchLink><br /><searchLink fieldCode="DE" term="%22Computer+simulation%22">Computer simulation</searchLink><br /><searchLink fieldCode="DE" term="%22Fluid+friction%22">Fluid friction</searchLink><br /><searchLink fieldCode="DE" term="%22Buoyancy-driven+flow%22">Buoyancy-driven flow</searchLink><br /><searchLink fieldCode="DE" term="%22Turbulence%22">Turbulence</searchLink>
– Name: Abstract
  Label: Abstract
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  Data: A mathematical model is formulated to study the onset of double-diffusion fluid flow through an infinite permeable channel with internal heat source and viscous dissipation effects under the influence of convection conditions. Numerically, the dimensionless emerging eigenvalue problem is tackled using the fourth-order Runge–Kutta scheme, specifically applied to longitudinal roll disturbances. Critical values of wave number and vertical thermal Rayleigh number are determined. A higher value of Gebhart number is observed to correlate significantly with the destabilizing phenomena in Hadley–Prats flow. Concentration-based internal heat generation also strongly modifies the critical thermal Rayleigh number. Also, it is found that the horizontal mass flow and viscous dissipation exert a substantial influence on the onset of instability in the flow regime. Linear instability analysis indicates that greater values of Lewis number in the porous medium stabilize the convection process for both values of mass diffusion parameter (${C_z})$ C z). Enhancing ${C_z}$ C z from negative to positive values diminishes the critical thermal Rayleigh (${R_z}$ R z ) value and consequently induces instability in the porous medium. Increased concentration-based internal heat generation generates the destabilization process in the flow region. [ABSTRACT FROM AUTHOR]
– Name: AbstractSuppliedCopyright
  Label:
  Group: Ab
  Data: <i>Copyright of International Journal of Modelling & Simulation is the property of Taylor & Francis Ltd and its content may not be copied or emailed to multiple sites without the copyright holder's express written permission. Additionally, content may not be used with any artificial intelligence tools or machine learning technologies. However, users may print, download, or email articles for individual use. This abstract may be abridged. No warranty is given about the accuracy of the copy. Users should refer to the original published version of the material for the full abstract.</i> (Copyright applies to all Abstracts.)
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RecordInfo BibRecord:
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        Value: 10.1080/02286203.2024.2327636
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      – Code: eng
        Text: English
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        PageCount: 17
        StartPage: 165
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      – SubjectFull: Stability theory
        Type: general
      – SubjectFull: Flow instability
        Type: general
      – SubjectFull: Computer simulation
        Type: general
      – SubjectFull: Fluid friction
        Type: general
      – SubjectFull: Buoyancy-driven flow
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      – SubjectFull: Turbulence
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      – TitleFull: Double-diffusive thermosolutal Hadley–Prats flow: stability analysis.
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            NameFull: K V, Muhammed Rafeek
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            NameFull: Matta, Anjanna
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            NameFull: Basha, Hussain
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              M: 02
              Text: Feb2026
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              Y: 2026
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