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Hydrodynamic and Thermal Characterization of Steady MHD Flow in Channels and Pipes Considering Viscous Dissipation and Joule Heating.

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Title: Hydrodynamic and Thermal Characterization of Steady MHD Flow in Channels and Pipes Considering Viscous Dissipation and Joule Heating.
Authors: Al-Haydri, Zaid Salah1 (AUTHOR), Osintsev, Konstantin V.2 (AUTHOR), Aliukov, Sergei V.2,3 (AUTHOR) alysergey@gmail.com, Drogovoz, Pavel A.2,4 (AUTHOR), Solomin, Evgeny V.1,3 (AUTHOR), Pshenisnov, Nikita A.2 (AUTHOR), Fedorenko, Elena N.3,4 (AUTHOR)
Source: Energies (19961073). Jun2026, Vol. 19 Issue 12, p2779. 28p.
Subject Terms: *Magnetohydrodynamics, *Heat transfer, *Hydrodynamics, *Resistance heating, *Dimensionless numbers, *Energy dissipation, *Thermal analysis
Abstract: This study presents a comparative sensitivity analysis of the Hartmann number (Ha) and Brinkman number (Br) on magnetohydrodynamic (MHD) flow in rectangular channels and circular pipes. Normalized sensitivity coefficients quantify the response of key metrics, including velocity, wall shear stress, temperature, and convective heat transfer, with validation against recent experimental and numerical studies. The system equations were solved through a coupled analytical–numerical method coded in Python 3.14; velocity field was solved analytically whereas temperature field was discretized using a finite differences scheme and solved numerically using the Thomas algorithm. The entire code was written by the authors. The results show that Ha predominantly governs hydrodynamics, inducing velocity suppression, flow flattening, and enhanced wall shear stress. Rectangular channels experience stronger Hartmann layer effects, while circular pipes exhibit smoother velocity profiles. Conversely, Br primarily controls thermal behavior, with higher values intensifying internal heat generation and elevating centerline temperature, potentially attenuating the average Nusselt number at high Br levels. Nonlinear Ha–Br interactions define distinct operational regimes, from heat transfer enhancement to thermal degradation. Optimal performance windows are identified: Ha ≈ 8–12 and Br ≈ 0.05–0.3 for channels, and Ha ≈ 10–15 and Br ≈ 0.1–0.4 for pipes, balancing thermal and hydraulic efficiency. Deviations from benchmark studies remain within ±5%, confirming predictive reliability. This work provides practical design guidance for advanced MHD thermal systems and establishes a foundation for future studies on temperature-dependent properties, three-dimensional effects, and complex flow regimes. [ABSTRACT FROM AUTHOR]
Database: Energy & Power Source
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Header DbId: enr
DbLabel: Energy & Power Source
An: 194909228
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  Label: Title
  Group: Ti
  Data: Hydrodynamic and Thermal Characterization of Steady MHD Flow in Channels and Pipes Considering Viscous Dissipation and Joule Heating.
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  Data: <searchLink fieldCode="AR" term="%22Al-Haydri%2C+Zaid+Salah%22">Al-Haydri, Zaid Salah</searchLink><relatesTo>1</relatesTo> (AUTHOR)<br /><searchLink fieldCode="AR" term="%22Osintsev%2C+Konstantin+V%2E%22">Osintsev, Konstantin V.</searchLink><relatesTo>2</relatesTo> (AUTHOR)<br /><searchLink fieldCode="AR" term="%22Aliukov%2C+Sergei+V%2E%22">Aliukov, Sergei V.</searchLink><relatesTo>2,3</relatesTo> (AUTHOR)<i> alysergey@gmail.com</i><br /><searchLink fieldCode="AR" term="%22Drogovoz%2C+Pavel+A%2E%22">Drogovoz, Pavel A.</searchLink><relatesTo>2,4</relatesTo> (AUTHOR)<br /><searchLink fieldCode="AR" term="%22Solomin%2C+Evgeny+V%2E%22">Solomin, Evgeny V.</searchLink><relatesTo>1,3</relatesTo> (AUTHOR)<br /><searchLink fieldCode="AR" term="%22Pshenisnov%2C+Nikita+A%2E%22">Pshenisnov, Nikita A.</searchLink><relatesTo>2</relatesTo> (AUTHOR)<br /><searchLink fieldCode="AR" term="%22Fedorenko%2C+Elena+N%2E%22">Fedorenko, Elena N.</searchLink><relatesTo>3,4</relatesTo> (AUTHOR)
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  Data: <searchLink fieldCode="JN" term="%22Energies+%2819961073%29%22">Energies (19961073)</searchLink>. Jun2026, Vol. 19 Issue 12, p2779. 28p.
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  Data: *<searchLink fieldCode="DE" term="%22Magnetohydrodynamics%22">Magnetohydrodynamics</searchLink><br />*<searchLink fieldCode="DE" term="%22Heat+transfer%22">Heat transfer</searchLink><br />*<searchLink fieldCode="DE" term="%22Hydrodynamics%22">Hydrodynamics</searchLink><br />*<searchLink fieldCode="DE" term="%22Resistance+heating%22">Resistance heating</searchLink><br />*<searchLink fieldCode="DE" term="%22Dimensionless+numbers%22">Dimensionless numbers</searchLink><br />*<searchLink fieldCode="DE" term="%22Energy+dissipation%22">Energy dissipation</searchLink><br />*<searchLink fieldCode="DE" term="%22Thermal+analysis%22">Thermal analysis</searchLink>
– Name: Abstract
  Label: Abstract
  Group: Ab
  Data: This study presents a comparative sensitivity analysis of the Hartmann number (Ha) and Brinkman number (Br) on magnetohydrodynamic (MHD) flow in rectangular channels and circular pipes. Normalized sensitivity coefficients quantify the response of key metrics, including velocity, wall shear stress, temperature, and convective heat transfer, with validation against recent experimental and numerical studies. The system equations were solved through a coupled analytical–numerical method coded in Python 3.14; velocity field was solved analytically whereas temperature field was discretized using a finite differences scheme and solved numerically using the Thomas algorithm. The entire code was written by the authors. The results show that Ha predominantly governs hydrodynamics, inducing velocity suppression, flow flattening, and enhanced wall shear stress. Rectangular channels experience stronger Hartmann layer effects, while circular pipes exhibit smoother velocity profiles. Conversely, Br primarily controls thermal behavior, with higher values intensifying internal heat generation and elevating centerline temperature, potentially attenuating the average Nusselt number at high Br levels. Nonlinear Ha–Br interactions define distinct operational regimes, from heat transfer enhancement to thermal degradation. Optimal performance windows are identified: Ha ≈ 8–12 and Br ≈ 0.05–0.3 for channels, and Ha ≈ 10–15 and Br ≈ 0.1–0.4 for pipes, balancing thermal and hydraulic efficiency. Deviations from benchmark studies remain within ±5%, confirming predictive reliability. This work provides practical design guidance for advanced MHD thermal systems and establishes a foundation for future studies on temperature-dependent properties, three-dimensional effects, and complex flow regimes. [ABSTRACT FROM AUTHOR]
PLink https://search.ebscohost.com/login.aspx?direct=true&site=eds-live&db=enr&AN=194909228
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        Value: 10.3390/en19122779
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        Text: English
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        PageCount: 28
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      – SubjectFull: Magnetohydrodynamics
        Type: general
      – SubjectFull: Heat transfer
        Type: general
      – SubjectFull: Hydrodynamics
        Type: general
      – SubjectFull: Resistance heating
        Type: general
      – SubjectFull: Dimensionless numbers
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      – SubjectFull: Energy dissipation
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      – SubjectFull: Thermal analysis
        Type: general
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      – TitleFull: Hydrodynamic and Thermal Characterization of Steady MHD Flow in Channels and Pipes Considering Viscous Dissipation and Joule Heating.
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              M: 06
              Text: Jun2026
              Type: published
              Y: 2026
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