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A Solution to Pressure Equation with Its Boundary Condition of Combining Tangential and Normal Pressure Relations

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Listed:
  • Hui Xiao

    (School of Energy and Power Engineering, Huazhong University of Science and Technology, Wuhan 430074, China)

  • Wei Liu

    (School of Energy and Power Engineering, Huazhong University of Science and Technology, Wuhan 430074, China)

Abstract

Pressure is a physical quantity that is indispensable in the study of transport phenomena. Previous studies put forward a pressure constitutive law and constructed a partial differential equation on pressure to study the convection with or without heat and mass transfer. In this paper, a numerical algorithm was proposed to solve this pressure equation by coupling with the Navier-Stokes equation. To match the pressure equation, a method of dealing with pressure boundary condition was presented by combining the tangential and normal direction pressure relations, which should be updated dynamically in the iteration process. Then, a solution to this pressure equation was obtained to bridge the gap between the mathematical model and a practical numerical algorithm. Through numerical verification in a circular tube, it is found that the proposed boundary conditions are applicable. The results demonstrate that the present pressure equation well describes the transport characteristics of the fluid.

Suggested Citation

  • Hui Xiao & Wei Liu, 2021. "A Solution to Pressure Equation with Its Boundary Condition of Combining Tangential and Normal Pressure Relations," Energies, MDPI, vol. 14(5), pages 1-15, March.
    • Handle: RePEc:gam:jeners:v:14:y:2021:i:5:p:1507-:d:513716
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    References listed on IDEAS

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    2. Chen, Qun & Wang, Moran & Pan, Ning & Guo, Zeng-Yuan, 2009. "Optimization principles for convective heat transfer," Energy, Elsevier, vol. 34(9), pages 1199-1206.
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