ASPECT RATIO EFFECTS ON BOTTOM HEATED 2D CAVITY USING ENERGY STREAMLINES AND FIELD SYNERGY PRINCIPLE

Authors

  • Hari Ponnamma Rani Associate Professor, Department of Mathematics, National Institute of Technology, Warangal, India.
  • Narayana Vekamulla Research Scholar
  • Yadagiri Rameshwar Assistant Professor, Department of Mathematics, College of Engineering, Osmania University, Hyderabad, India.
  • Sergey Vladimirovich Starchenko Professor, Chief Scientist & Head of the "Main magnetic field of the Earth" lab in the IZMIRAN, Novosibirsk State University, Russia.

DOI:

https://doi.org/10.52292/j.laar.2020.164

Keywords:

Energy streamlines, Field synergy Angle, MPI

Abstract

In the present work free convective air flow in the two-dimensional cavity with three different aspect ratios (AR) are investigated using direct numerical simulation. The bottom wall is assumed to be kept at a uniform higher temperature than that of the top wall and the other two vertical walls are assumed to be thermally insulated. The computations are conducted for Rayleigh number (Ra) values from 103 to 106. Convective schemes are compared and Self Filtered Central Differencing Scheme is used to discretize convective term. Parallel computing MPI code is adapted to run the simulations. An attempt has been made to gather the visualization techniques such as streamlines, isotherms, energy streamlines and field synergy principle to analyse the flow behaviour inside the cavity. When Ra is small, the vertical energy streamlines are observed in the cavity. As Ra further increased, the free energy streamlines observed at the boundary and the trapped energy streamlines at the centre in the horizontal direction. For a fixed Ra, and increasing AR, the average synergy angle increases. This indicates synergy or the coordination between velocity magnitude and temperature field gets decreased and leads to the growth of heat transfer rate. The field synergy principle implies by enhancing the synergy between the velocity vector and temperature gradient.

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Published

2019-10-09

Issue

Vol. 50 No. 1 (2020): Latin American Applied Research

Section

Heat and Mass Transfer

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