FUOYE Journal of Engineering and Technology, Volume 4, Issue 2, September 2019 ISSN: 2579-0625 (Online), 2579-0617 (Paper)
FUOYEJET © 2019 158
http://dx.doi.org/10.46792/fuoyejet.v4i2.377 engineering.fuoye.edu.ng/journal
Numerical Simulation of Conjugate Heat Transfer in Forced Convective
Boundary Bilayered Cylindrical Pipe with Different Peclet Numbers
Oluwasegun S. Omosehin and *Adekunle O. Adelaja
1
Department of Mechanical Engineering, University of Lagos, Akoka, Yaba, Lagos State, 101017, Nigeria
omosehin_oluwasegun@yahoo.com|aadelaja@unilag.edu.ng
Abstract - The heat transfer performance of bilayered composite systems through which thermally developing laminar fluids flow for cases
in which axial conduction is either significant or negligible has been investigated. The heat transfer problems considered as two dimensional
conjugate problems with appropriate boundary conditions were solved via computational fluid dynamics (CFD) approach in ANSYS 16.0. A
parametric study was conducted to investigate the effects of Péclet number (Pe), ratio of the thermal conductivity of the laminate composite
(k21) and the laminate composite dimensionless-thickness ratio (
21
) on the wall-fluid interfacial temperature and interfacial heat flux for Pe
of 5, 100 and 1000,
21
varying between 0.4 and 1.6, Bi of 5, kwf of 20, k21 between 0.025 and 1, and
1
of 0.71. The effect of Pe was found
to be more pronounced on the interfacial heat flux. Also, the changes in k21 and
21
were shown to reduce with reduction in Pe.
Keywords - Composite cylinder, convective heat transfer, Numerical simulation; thick-walled pipes
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1 INTRODUCTION
ilayered cylindrical pipes are widely used for
thermal insulation in oil- and gas-pipeline facilities
to minimize the rate of heat loss and to prevent wax
and hydrate formation during the conveyance of hot
fluids between reservoirs and discharge units, especially
in cold environments. Laminated material also has
numerous applications in pressure vessels, aerospace
components, naval structures, electronic equipment, and
in the metal-forming and -rolling industries. They are
very effective for design flexibility, increased strength-
to-weight ratios, and dimensional stability under
thermal loading, corrosion resistance, impact resistance,
and high-fatigue strength.
Pe however is the ratio of the rate of advection of a
physical quantity by the flow to the rate of diffusion of
the same quantity. The parameter (Pe) is used to
characterize fluid flow and flow conditions into three
regimes. A low Peclet number (Pe ≤ 50) describes a flow
regime that accommodates both axial and radial
conductions in the fluid, for instance, low Prandtl
number flow in a single thick-walled cylinders (Darici et
al. 2015; Ate et al., 2010). When Pe = 100, the length of
the heating zone around the flow is considered short
(Weigand and Lauffer, 2004), and for turbulent pipe flow
(Lee, 1982). For very high Pe = 1000, axial conduction in
the fluid is considered negligible Low Pe flows are often
regarded as flows involving low Prandtl numbers and/or
flows with low Reynolds numbers such as liquid metals.
Axial conduction cannot be neglected in these types of
fluid flows. Also, in thick-walled pipes, wall axial
conduction cannot be neglected. However, as wall
thickness becomes extremely thin, wall axial conduction
can be negligible. When Pe increases, wall and fluid axial
conduction decrease and become negligible at high
value. This can be approximated to the no axial-
conduction condition case. Faghri and Sparrow (1980) in
reported that interfacial heat flux is more informative in
characterizing fluid flow than Nusselt number.
Additionally, from literature, in relation to analysis of
flow in single channels and over flat plates, few studies
have been conducted on conjugate heat transfer in
multilayered composite cylindrical pipes or slabs.
*Corresponding Author
For instance, some investigations have been done on the
thermo-mechanical and mechanical properties of
composite laminates (Chao et al. 2007; Pradeep and
Ganesan, 2008). Therefore, the present work is centred
on adaptation of wall-fluid interfacial temperature and
heat flux distribution for the characterization of
conjugate heat transfer dynamics in bilayered cylindrical
pipe. Norouzi and AmiriDelouei (2015) and Lu et al.
(2006) presented detailed reviews of the thermal analysis
of multilayer composites. But, it is equally expedient that
some explorations of few existing works on conduction
heat transfer in multilayered composite as well as
conjugate heat transfer in single and multilayered
composite is undertaken. This is imperative in order to
establish the landscape of research in conjugate heat
transfer in multi-layered composite structure.
Yuen (1994) investigated the transient temperature
distribution in a multilayered medium representing hot
processing of flat plates subject to radiative surface
cooling. Johansson and Lesnic (2009) employed the
method of fundamental solutions to obtain the
temperature field in transient heat conduction problems
in layered materials. Tarn and Wang (2003, 2004) studied
heat conduction in functionally graded and composite
laminated cylinders. Torabi and Zhang (2015)
investigated the temperature distribution and entropy
generation rate within two-layer composite walls with
combined convection and radiation boundary
conditions. The thermal conduction and internal heat
generation were assumed to be temperature dependent.
The differential transformation method (DTM) was
employed to solve the non-linear problem. It was shown
that the ratio of the thermal conductivity and the
interfacial location has a great effect on the rate of total
entropy generation. De Monte (2003, 2004) investigated
the heat conduction in homogeneous materials for one-
dimensional and two-dimensional problems using the
separation of variables method.
On two dimensional analysis of a single hollow cylinder,
Zhang et al. (2010) numerically studied the effect of two-
dimensional wall conduction in a thick-walled hollow
cylinder with simultaneously developing laminar flow
subjected to constant outside wall temperature. It was
observed that for kwf ≤ 25, increasing δ/ri and decreasing
B