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Finite element simulation for free convective flow in an adiabatic enclosure: Study of Lorentz forces and partially thermal walls

Amna Yasin, Naeem Ullah, S. Nadeem, S. Saleem

2021Case Studies in Thermal Engineering19 citationsDOIOpen Access PDF

Abstract

This article contains the free convective flow in a rectangular cavity having partially heated vertical wall. Further it is assumed that flow and thermal profiles are influenced by Lorentz forces applied in the perpendicular direction to the flow distribution. This physical setup is translated in mathematical form, which is expressed as differential equation. Finite element method is adopted to get the solution of these partial differential equations, the results against various flow controlling variables are presented in contour plots and line graphs. Results depict that at various heated length streamlines distribution gets stronger due to stronger buoyancy effects. Higher values of Rayleigh number correspond to maximum Nusselt number and temperature profile. Moreover, the streamlines pattern is reduced by increasing Hartman number and resulting the conduction mode of heat transportation.

Topics & Concepts

Streamlines, streaklines, and pathlinesNusselt numberMechanicsRayleigh numberBuoyancyNatural convectionAdiabatic processPhysicsFinite element methodFlow (mathematics)Thermal conductionLorentz forceClassical mechanicsConvectionEnclosureMaterials scienceThermodynamicsMagnetic fieldReynolds numberComputer scienceTelecommunicationsQuantum mechanicsTurbulenceNanofluid Flow and Heat TransferHeat Transfer and OptimizationHeat Transfer Mechanisms