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

Roya Shademani¹, Parviz Ghadimi^1, , Rahim Zamanian² and Abbas Dashtimanesh¹

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

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

Cite this paper:
Roya Shademani, Parviz Ghadimi, Rahim Zamanian and Abbas Dashtimanesh. Assessment of Air Flow over an Equilateral Triangular Obstacle in a Horizontal Channel Using FVM. Journal of Mathematical Sciences and Applications. 2013; 1(1):12-16. doi: 10.12691/jmsa-1-1-3

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

This work is licensed under a Creative Commons Attribution 4.0 International License. To view a copy of this license, visit http://creativecommons.org/licenses/by/4.0/

Figures

References:

[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.
[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.
[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.
[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.
[8]	De, A., K., Dalal, A., “Numerical simulation of unconfined flow past a triangular cylinder”, J Numer Meth Fluids, Vol.52, 2006, 801-821.
[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.
[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.
[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.
[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.
[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.
[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.