Finite element technique for the analysis of buoyantly convective multiply connected domain as a trapezium enclosure with heated circular obstacle

Khalil Ur Rehman, M. Y. Malik, Mostafa Zahri, Qasem M. Al-Mdallal, Mohammed Jameel, M. Imran Khan

Research output: Contribution to journalArticlepeer-review

36 Citations (Scopus)

Abstract

The fluid is equipped in a multiply connected domain and termed as trapezium enclosure. The fluid is driven by incorporating Buoyant convection effect. The upper wall is considered at an adiabatic condition and the left wall is taken cold. Both the right and bottom walls are considered uniformly and non-uniformly heated case wise. The uniformly heated circular cylinder is placed in a trapezium cavity. The obtained mathematical structured is solved numerically via Finite Element Method (FEM). The obtained results are offered in terms of stream lines and isotherms towards wide range of Rayleigh number. The velocity variations in terms of X and Y components are identified for the both uniform and non-uniform heated walls. The detail analysis subject to temperature is performed. The heat transfer aspects in terms of the Nusselt number are examined and provided by means of line graphs.

Original languageEnglish
Article number110892
JournalJournal of Molecular Liquids
Volume286
DOIs
Publication statusPublished - Jul 15 2019

Keywords

  • Adiabatic wall
  • Buoyant convection
  • Finite element method
  • Partially heated walls
  • Trapezium enclosure

ASJC Scopus subject areas

  • Electronic, Optical and Magnetic Materials
  • Atomic and Molecular Physics, and Optics
  • Condensed Matter Physics
  • Spectroscopy
  • Physical and Theoretical Chemistry
  • Materials Chemistry

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