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International Journal of Thermal Sciences
journal homepage: www.elsevier.com/locate/ijts
Mixed convection heat transfer from a triangular cylinder subjected to
upward cross fow
Zekeriya Altaç
∗
, Zerrin Sert, Necati Mahir, Çisil Timuralp
Department of Mechanical Engineering, Eskişehir Osmangazi University, Eskisehir, Turkey
ARTICLEINFO
Keywords:
Triangular cylinder
Assisting fow
Flow characteristics
Mixed convection
Nusselt correlations
ABSTRACT
Unsteady laminar mixed (forced and free) convection heat transfer and fuid fow over long horizontal equi-
lateral triangular cylinder subjected to upward cross fow are investigated numerically. The computation model
is a two-dimensional unconfned rectangular domain with an aspect ratio of 1.4. A second order upwind scheme
was used for diferencing of the convection terms, and SIMPLE algorithm was adopted. The working fuids are air
(Pr = 0.7) and water (Pr = 7). The equilateral isothermal triangular cylinder is placed in a uniform stream. The
efect of buoyancy is incorporated into the Navier-Stokes (NS) equations using the Boussinesq approximation.
This study is a case of “assisting fow” where the buoyancy-induced fow and fuid motions have the same upward
direction. The basic dimensionless simulation variables, Reynolds and Richardson numbers, are varied in the
range10≤Re≤200and0≤Ri≤10.Thefowcharacteristicssuchasthemeandrag,meanrmslift coefcients
and the Strouhal number are computed for each simulation. The fow patterns and isotherms are generated to
interpret and understand the underlying physical mechanism. The cylinder surface mean Nusselt number was
computed for mixed as well as for forced and free convection conditions. The computational data were used to
develop the several Nusselt number correlations for forced, free and mixed convection fow.
1. Introduction
Flow around cylinders has been the topic of intense research for the
last century due to its importance in engineering signifcance and ap-
plications. Most published research is devoted to the fow character-
istics (drag/lift coefcients and Strouhal number) of circular cylinders
since these are commonly used as tubes or pipes in engineering designs.
Only recently, attention has shifted to cylinders of diferent cross sec-
tions (square, rectangular, semicircular, triangular etc.).
The fow and heat transfer over bluf bodies, over the years, has
received attention both numerically and experimentally as a result of
increasing computational capabilities and in view of the advent of new
experimental techniques. In spite of wide applications, very limited
information is available in the literature on the mixed convection fow
and heat transfer from noncircular cylinders. To the best of our
knowledge, the fuid fow and heat transfer from a triangular cylinder
in cross fow have received very little attention up until recently in both
unbounded and bounded channels.
Several studies involve only incompressible viscous fuid fow over
triangular cylinders for which fow characteristics are explored. Two-
dimensional numerical simulation of laminar fow past a triangular
cylinder placed in free-stream was studied by De and Dalal [1] for
10 ≤ Re ≤ 250, by Shademani et al. [2] for a fxed blockage ratio (BR)
of0.05and1.4≤Re≤38.Theefects on the wakes of unsteady fows
past a cylinder having an equilateral triangular cross-section were in-
vestigated numerically using a 2D analysis by Ng et al. [3]. Fluid fow
over a triangular cylinder at an inclination producing a wake region
whose stability characteristics are studied by Ng et al. [4] using a 3D
numerical model for inclinations between 0 and 60°, and for Re = 100
and 150.
Limited studies have involved forced convection heat transfer from
horizontal triangular cylinders placed in a confned and/or unconfned
channel. The fow and heat transfer in a 2D horizontal channel difer-
entially heated triangular cylinder was numerically investigated by
Abbasi et al. [5]forPr=0.71and20≤Re≤250.For80≤Re≤200,
De and Dalal [6] numerically studied 2D fow and heat transfer past a
triangular cylinder in horizontal channels of 1/12 ≤ BR ≤ 1/3. Using a
2D model, heat transfer in a channel in the presence of a triangular
prism was numerically investigated in the turbulent fow regime up to
Re = 40000 and for BR = 0.25 by Chattopadhyay [7]. Unsteady forced
convection transfer characteristic of a heated equilateral triangular
cylinder for Pr = 0.71 fuid was numerically investigated using a 2D
https://doi.org/10.1016/j.ijthermalsci.2018.11.010
Received 17 March 2018; Received in revised form 7 November 2018; Accepted 10 November 2018
∗
Corresponding author. Eskişehir Osmangazi University, School of Engineering and Architecture, Mechanical Engineering Department, Batı-Meşelik, 26480,
Eskişehir, Turkey.
E-mail addresses: zaltac@ogu.edu.tr (Z. Altaç), zbocu@ogu.edu.tr (Z. Sert), nmahir@ogu.edu.tr (N. Mahir), cisil@ogu.edu.tr (Ç. Timuralp).
International Journal of Thermal Sciences 137 (2019) 75–85
1290-0729/ © 2018 Elsevier Masson SAS. All rights reserved.
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