On partially heated circular obstacle in a channel having heated rectangular ribs: Finite element outcomes

Abstract

In this paper we investigate the fluid flow in rectangular domain having partially heated circular cylinder. To be more specific, the cold fluid is initiated at an inlet of rectangular channel with the parabolic velocity profile. The Neumann condition is carried at outlet of channel. The no-slip condition is implemented at both upper and lower walls. To increase novelty we have considered heat transfer aspects. In this direction, the partially heated circular cylinder is taken fixed in a rectangular channel. The heated rectangular shaped ribs are introduced case-wise. The left wall is taken at zero temperature while the outlet of channel is supported with an adiabatic condition. The whole physical design is controlled with the help of mathematical formulation. The obtained differential system is solved by finite element method. The outcomes are shared in terms of graphs and tables. The variation in drag force subject to different installation of rectangular ribs is debated. Such force is recorded by performing line integration around outer surface of an obstacle. Keywords: Heat transfer, Heated rectangular ribs, Partially heated obstacle, Hybrid meshing, Finite element method