Incompressible unsteady laminar flow of a micropolar fluid in a lid driven square cavity has been examined numerically with finite difference scheme. In this paper, we verify the code validation of Newtonian incompressible fluid (K = 0) with standard bench mark problem in the literature and then proceed the present computation. The vorticity-stream function formulation of Navier-Stokes equations and angular momentum equation is solved by the Euler's explicit method. The effect of various values of Reynolds number (Re) and vortex viscosity parameter (K) of the flow characteristics is studied and discussed through several graphs. © Published under licence by IOP Publishing Ltd.

Vallampati Ramachandra Prasad

Department of Mathematics

School of Advanced Sciences

Vellore Campus

Venkatadri K

Lakshmi C.V

Fulltext

Vellore Institute of Technology (VIT) is a private university located in&nbsp;Tamil Nadu, India. Founded in 1984, as Vellore Engineering College, the institution offers 20 undergraduate, 34 postgraduate, four integrated and four research programs. It has campuses in Vellore, Amravati, Bhopal and Chennai.

VIT is one of the top ranked private universities in India according to NIRF, THE and QS Rankings.&nbsp;Govt. of India has recognized&nbsp;VIT, Vellore as an&nbsp;Institution of Eminence. This has allowed VIT to take independent quality initiatives and move up in world ranking.

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Numerical simulation of lid-driven cavity flow of micropolar fluid

IOP Conference Series: Materials Science and Engineering

The flow characteristics of lid-driven cavity are simulated using the Lattice Boltzmann Method (LBM). For achieving the best numerical stability, this problem is solved using two-dimensional nine directional lattice model (D2Q9). Single Relaxation Time-BGK approximation is used for collision of particles. The effect of various Reynolds numbers (100, 1000, 2000 and 5000) and aspect ratios (1, 2 and 4) in the flow characteristics is studied. In this problem two cases of boundary conditions are considered, in the first case, the top and bottom walls move in the same direction towards right side with uniform velocity (u = 0.1) and in the second case, the walls move in opposite direction with same velocity. For validation, velocities and the locations of primary, secondary, ternary vortexes obtained from the simulation are compared with existing literatures and found to be in good agreement. The results show that at higher Reynolds number (Re), there is a formation of secondary and ternary vortexes. The shape and size of the vortexes changes with increase in aspect ratio (K). For lower Re, primary vortexes only were observed. However, at low Re with increase in K, there is a formation of secondary vortexes. The pressure contours are also presented. © 2015 Faculty of Engineering, Alexandria University. Production and hosting by Elsevier B.V.

Alexandria Engineering Journal

Analysis of flow behaviour in a two sided lid driven cavity using lattice boltzmann technique

Ain Shams Engineering Journal

Effect of magnetic field on unsteady natural convective flow of a micropolar fluid between two vertical walls

Energy Procedia

Experimental and Numerical Studies of the Cavity Flows at Low Reynolds Numbers

European Journal of Mechanics - B/Fluids

Creeping motion of a micropolar fluid between two sinusoidal corrugated plates

Journal	Data powered by TypesetIOP Conference Series: Materials Science and Engineering
Publisher	Data powered by TypesetIOP Publishing
ISSN	17578981
Open Access	Yes