Numerical Simulation of Natural Convection of Micropolar Fluid in a Rectangular Porous Enclosure
C Sivarami Reddy1, V Ramachandra Prasad2, K Jayalakshmi3

1C Sivarami Reddy, Department of Mathematics, Jawaharlal Nehru Technological University Anantapur, Anantapur Amu, India.

2V Ramachandra Prasad, Department of Mathematics, School of Advanced Sciences, Vellore Institute of Technology, Vellore, Tamil Nadu, India.

3K Jayalakshmi, Department of Mathematics, Jawaharlal Nehru Technological University Anantapur, Anantapur Amu, India.

Manuscript received on 01 February 2019 | Revised Manuscript received on 07 February 2019 | Manuscript Published on 13 February 2019 | PP: 329-339 | Volume-8 Issue- 4S February 2019 | Retrieval Number: DS2885028419/2019©BEIESP

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Abstract: Ahe microploar fluid in a unsteady free convection of two dimensional rectangular porous enclosure has been examinednumerically. Thenon-dimensional coupled nonlinear partial differential equations is solved bystaggered gridbased projection method (MAC . The vertical walls of the rectangular enclosure are maintained with different temperatures while both bottom and top walls of the enclosure are considered adiabatic. The heat transfer has been studiedforinfluence of the Rayleigh number (Ra), vortex viscosity parameter (K) and Darcy parameter (Da) on fluid flow.The local Nureduces with augment of vortex viscosity parameter (K) but it enhance with rise ofDarcy number are illustrates in the results.

Keywords: Porous Medium; Micropolar Fluid; MAC Method; Natural Convection; Staggered grid.
Scope of the Article: Applied Mathematics and Mechanics