Open Access Peer-reviewed

Assessment of Air Flow over an Equilateral Triangular Obstacle in a Horizontal Channel Using FVM

Roya Shademani1, Parviz Ghadimi1,, Rahim Zamanian2, Abbas Dashtimanesh1

1Department of Marine Technology, Amirkabir University of Technology, Tehran, Iran

2International Campus – Mech. Eng’g. Group, Amirkabir University of Technology, Tehran, Iran

Journal of Mathematical Sciences and Applications. 2013, 1(1), 12-16. DOI: 10.12691/jmsa-1-1-3
Published online: August 25, 2017

Abstract

Viscous and incompressible flow is simulated over an equilateral triangular obstacle placed in a horizontal channel. Different from the previous studies, the governing Navier-Stokes equations along with appropriate boundary conditions are solved by a particular finite volume generated code. A fixed blockage ratio (β=0.05) is considered. Different ranges of Reynolds numbers in laminar regime under critical value of the Reynolds number (Re ≤ 38.03) are investigated. Range of this study is from 1.4 to 38.03. The flow characteristics are analyzed in the forms of streamlines and pressure fields at various Reynolds numbers. Diagram of drag coefficient versus Reynolds numbers is presented and discussed. Results are compared with the available data in the literature that display good agreements.

Keywords:

equilateral triangular cylinder, viscous fluid, horizontal channel, finite volume method, streamlines
[1]  Zdravkovich, M., M., “Flow around circular cylinders”, fundamentals, vol. 1. Oxford university press, USA, 1977.
 
[2]  Zdravkovich, M., M., “Flow around circular cylinders”, Applications, 1st ed., Vol.2. Oxford university press, USA, 2002.
 
[3]  Rajani, B., N., Kandasamy, A., Majumdar, S., “Numerical simulation of laminar flow past a circular cylinder”, Appl. Math. Model Vol.33, 2008, 1228-1247.View Article
 
[4]  Jackson, C., P., “A finite volume study of the onset of vortex shedding in flow past variously shaped bodies”, J Fluid Mech., Vol.182, 1987, 23-45.View Article
 
[5]  Aref, H., Brons, M., Stremler, M., A., “Bifurcation and instability problems in vortex wakes”, J. Comput. Phys. Vol.189, 2003, 351-370.
 
[6]  Abbassi, H., Turki, S., Nasrallah, S., “numerical investigation of forced convection in a plane channel with a built-in triangular prism”, J. Thermal Sci, Vol. 40, 2001, 649-658.View Article
 
[7]  Zielinska, B., J., A., Wesfreid, J., E., “On the spatial structure of global modes in wake flow”, Phys Fluids, Vol.7, 1995, 1418-1424.View Article
 
[8]  De, A., K., Dalal, A., “Numerical simulation of unconfined flow past a triangular cylinder”, J Numer Meth Fluids, Vol.52, 2006, 801-821.View Article
 
[9]  De, A., K., Dalal, A., “Numerical study of laminar forced convection fluid flow and heat transfer from a triangular cylinder placed in a channel”, J. Heat Transf, Vol.129, No.5, 2007, 646–656.View Article
 
[10]  Srikanth, S., Dhiman, A., K., Bijjam, S., “Confined flow and heat transfer across a triangular cylinder in a channel”, J. Thermal Sci, Vol.49, 2011, 2191-2200.
 
[11]  Zeitoun, O., Mohamed, A., Nuhait, A., “convective heat transfer around a triangular cylinder in an air cross flow”, J. thermal sciences, Vol. 50, 2011, 1685-1697.View Article
 
[12]  Chatterjee, D., Mondal, B., “Forced convection heat transfer from an equilateral triangular cylinder at low Reynolds numbers”, Heat mass Trans., Vol. 48, 2012, 1575-1587.
 
[13]  Coutanceau, M., Bouard, R., “Experimental determination of the main features of the viscous flow in the wake of a circular cylinder in uniform translation”, Part 1, Steady flow. J Fluid Mech, Vol.79, 1977, 231-265.View Article
 
[14]  Sohankar, A., Norbeg, C., Davidson, L., “Low-Reynolds flow around a square cylinder at incidence: study of blockage, onset of vortex shedding and outlet boundary condition”, J. Numer. Meth. Fluids, Vol. 26, 1998, 39-56.View Article
 
[15]  Rhie, C., M., Chow, W., L., “Numerical study of the turbulent flow past an airfoil with trailing edge separation”, AIAA Journal, Vol. 21, 1983, 1525-1532.View Article
 
[16]  Karimian, S., M., H., Schneider, G., E., “Pressure-based Computational Method for Compressible and Incompressible Flows”, J. Thermo phy. & heat Trans., Vol. 8, No.2, 1994, 267-274.
 
[17]  White Frank M., “Viscous fluid flow”, Third edition, International edition 2006, McGraw-Hill publication.