Numerical analysis of entropy generation in mixed-convection MHD flow in vertical channel

Chin-Chia Liu, Cheng Ying Lo

Research output: Contribution to journalArticle

21 Citations (Scopus)

Abstract

A numerical analysis is performed of the entropy generation within a combined forced and free convective magnetohydrodynamic (MHD) flow in a parallel-plate vertical channel. The MHD flow is assumed to be steady state, laminar and fully developed. The analysis takes account of the effects of both Joule heating and viscous dissipation. The nonlinear governing equations for the velocity and temperature fields are solved using the differential transformation method (D.T.M.). It is shown that the numerical results are in good agreement with the analytical solutions. The numerical values of the velocity and temperature are used to derive the corresponding entropy generation number (N s) and Bejan number (B e) within the vertical channel under asymmetric heating conditions. The results show that the minimum entropy generation number and the maximum Bejan number occur near the centerline of the channel. Overall, the results confirm that the differential transformation method provides an accurate and computationally-efficient means of analyzing the nonlinear governing equations of the velocity and temperature fields for MHD flow.

Original languageEnglish
Pages (from-to)1354-1359
Number of pages6
JournalInternational Communications in Heat and Mass Transfer
Volume39
Issue number9
DOIs
Publication statusPublished - 2012 Nov 1

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Mixed convection
magnetohydrodynamic flow
Magnetohydrodynamics
numerical analysis
Numerical analysis
convection
Entropy
entropy
Nonlinear equations
nonlinear equations
Temperature distribution
temperature distribution
velocity distribution
Joule heating
parallel plates
dissipation
Heating
heating
Temperature
temperature

All Science Journal Classification (ASJC) codes

  • Atomic and Molecular Physics, and Optics
  • Chemical Engineering(all)
  • Condensed Matter Physics

Cite this

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abstract = "A numerical analysis is performed of the entropy generation within a combined forced and free convective magnetohydrodynamic (MHD) flow in a parallel-plate vertical channel. The MHD flow is assumed to be steady state, laminar and fully developed. The analysis takes account of the effects of both Joule heating and viscous dissipation. The nonlinear governing equations for the velocity and temperature fields are solved using the differential transformation method (D.T.M.). It is shown that the numerical results are in good agreement with the analytical solutions. The numerical values of the velocity and temperature are used to derive the corresponding entropy generation number (N s) and Bejan number (B e) within the vertical channel under asymmetric heating conditions. The results show that the minimum entropy generation number and the maximum Bejan number occur near the centerline of the channel. Overall, the results confirm that the differential transformation method provides an accurate and computationally-efficient means of analyzing the nonlinear governing equations of the velocity and temperature fields for MHD flow.",
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Numerical analysis of entropy generation in mixed-convection MHD flow in vertical channel. / Liu, Chin-Chia; Lo, Cheng Ying.

In: International Communications in Heat and Mass Transfer, Vol. 39, No. 9, 01.11.2012, p. 1354-1359.

Research output: Contribution to journalArticle

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AB - A numerical analysis is performed of the entropy generation within a combined forced and free convective magnetohydrodynamic (MHD) flow in a parallel-plate vertical channel. The MHD flow is assumed to be steady state, laminar and fully developed. The analysis takes account of the effects of both Joule heating and viscous dissipation. The nonlinear governing equations for the velocity and temperature fields are solved using the differential transformation method (D.T.M.). It is shown that the numerical results are in good agreement with the analytical solutions. The numerical values of the velocity and temperature are used to derive the corresponding entropy generation number (N s) and Bejan number (B e) within the vertical channel under asymmetric heating conditions. The results show that the minimum entropy generation number and the maximum Bejan number occur near the centerline of the channel. Overall, the results confirm that the differential transformation method provides an accurate and computationally-efficient means of analyzing the nonlinear governing equations of the velocity and temperature fields for MHD flow.

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