For Libraries For Publication Open Access Downloads About Us Contact Us
Paper Titles
Approximate Analytical Solutions for a Heat Transfer in a Slab with Internal Heat Generation
p.45
The Effects of Fractional Relaxation Time and Magnetic Field on Blood Flow through Arteries along with Nanoparticles
p.59
The Transient Electroosmotic Flow of Maxwell Fluids and Heat Transfer in a Parallel Microchannel Using Caputo Fractional Derivative
p.77
Dynamics of Heat Transfer in Magneto-Micropolar Fluids Flow Past a Vertically Expanding Sheet Featuring Prescribed Wall Temperature (PWT)
p.99
The Effect of Elliptical Form of Cylinder on Free Convection in Annular Space
p.113
Studying the Oscillating Flow around Unconfined Obstacle of Elliptical Cross-Section
p.125
Unsteady Magnetohydrodynamic Slip Flow, Heat and Mass Transfer over a Permeable Stretching Cylinder with Soret and Dufour Effects in Porous Medium
p.143
Heat Transfer Coefficient of 7050 Aluminum Alloy under Different Quenching Medium Parameters
p.157
Grain Refinement Enhanced Tensile Strength, Fracture Toughness and Fatigue Crack Propagation Resistance of a High Zn-Containing Al-Zn-Mg-Cu Alloy
p.163

The Effect of Elliptical Form of Cylinder on Free Convection in Annular Space

Article Preview

Abstract:

We try through this research to present a detailed study on free convection heat transfer inside a closed space. The work is carried out in numerical way, using the method called finite volume. The governing equations are solved for numerical simulations of steady state and laminar regime. The studied domain is an annular space consisting mainly of two cylinders positioned horizontally, the inner cylinder has an elliptical shape with different aspect ratio (E) while the outer one has a single shape which is circular. The primary conditions adopted in this research are as follow: the outer cylinder has a cold surface, while the inner cylinder has a cold surface. The space between cylinders is considered to be filled with fluid of different values of thermo-physical proprieties (Pr). The fluid in the space moves under the influence of thermal buoyancy which is controlled by Ri number. The pertinent parameters for this research are: the aspect ratio of elliptical cylinder which is E = 0.1 to 1, the Prandtl number Pr = 1 to 100 and finally the Richardson number Ri = 103, 104 and 105. The results of this work show that the elliptical form allows an increase in thermal transfer activity. Also, values of the number Pr have a limited effect on heat transfer.

You might also be interested in these eBooks
Heat and Mass Transfer in Engineering Systems View Preview

Info:

Periodical:

Defect and Diffusion Forum (Volume 424)

Pages:

113-123

DOI:

https://doi.org/10.4028/p-37dkbn

Citation:

Cite this paper

Online since:

May 2023

Authors:

Dr. Elhadi Zoubai*, Bachir Bouhamida

Keywords:

CFD, Free Convection, Newtonian Fluid, Steady Simulation, Thermal Science

Export:

RIS, BibTeX

Price:

Permissions CCC:

Request Permissions

Permissions PLS:

Request Permissions

Сopyright:

© 2023 Trans Tech Publications Ltd. All Rights Reserved

Share:

Citation:

* - Corresponding Author

References

[1] C. Shu, Q. Yao, K. S. Yeo, Y. D. Zhu, Numerical analysis of flow and thermal fields in arbitrary eccentric annulus by differential quadrature method, Heat and Mass Transfer. 38(2002)597–608.

DOI: 10.1007/s002310100193

Google Scholar

[2] M. A. I. El-Shaarawi, E. M. A. Mokheimer, A. Jamal, Conjugate effects on steady laminar natural convection heat transfer in vertical eccentric annuli, International Journal for Computational Methods Engineering Science Mechanics. 6(2005) 235–250.

DOI: 10.1080/155022891009288

Google Scholar

[3] M. Perlmutter, J. R. Howell, Radiant transfer through a gray gas between concentric cylinders using Monte Carlo, Trans. ASME J. Heat Transf. 86 (1964)169–179.

DOI: 10.1115/1.3687090

Google Scholar

[4] T. H. Kuehn, R. J. Goldstein, An experimental and theoretical study of natural convection in the annulus between horizontal concentric cylinders,. Journal of Fluid Mechanics. 74 (1976) 695–719.

DOI: 10.1017/s0022112076002012

Google Scholar

[5] T.H. Kuehn, R.J. Goldstein, An experimental study of natural convection heat transfer in concentric and eccentric horizontal cylindrical annuli, ASME Journal of Heat Transfer, 100 (1978) 635–640.

DOI: 10.1115/1.3450869

Google Scholar

[6] J. F. Heyda, A green function solution for the laminar incompressible flow between non concentric cylinders, Journal of the Franklin Institute. 267 (1959) 25–34.

DOI: 10.1016/0016-0032(59)90034-1

Google Scholar

[7] C. J. Ho, Y. H. Lin, T. C. Chen, A numerical study of natural convection in concentric and eccentric horizontal cylindrical annuli with mixed boundary conditions, International Journal of Heat and Fluid Flow. 10 (1989) 40–47.

DOI: 10.1016/0142-727x(89)90053-2

Google Scholar

[8] U. Projahn, H. Reiger, H. Beer, Numerical analysis of laminar natural convection between concentric and eccentric cylinders, Journal of Numerical Heat Transfer. 4 (1981) 131–146.

DOI: 10.1080/01495728108961783

Google Scholar

[9] M. Y. Ha, J. G. Kim, Numerical simulation of natural convection in annuli with internal fns, J. Mech. Sci. Technol. 18 (2004)718–730.

DOI: 10.1007/bf02983656

Google Scholar

[10] H. Hadidi, R. Kamali, Numerical simulation of a non-equilibrium electrokinetic micro/nano fluidic mixer, J. Micromech. Microeng. 26 (2016) 035019.

DOI: 10.1088/0960-1317/26/3/035019

Google Scholar

[11] M. H. Matin, A.W. Khan, Laminar natural convection of non-Newtonian power-law fluids between concentric circular cylinders, International Communications in Heat and Mass Transfer, 43 (2013) 112–121.

DOI: 10.1016/j.icheatmasstransfer.2013.02.006

Google Scholar

[12] S.A. Nada, M.A. Said, Effects of fins geometries, arrangements, dimensions and numbers on natural convection heat transfer characteristics in finned-horizontal annulus, International Journal of Thermal Sciences, 137(2019) 121–137.

DOI: 10.1016/j.ijthermalsci.2018.11.026

Google Scholar

[13] E. Abu-Nada, Z. Masoud, A. Hijazi, Natural convection heat transfer enhancement in horizontal concentric annuli using nanofluids, International Communications in Heat and Mass Transfer, 35 (2008) 657–665.

DOI: 10.1016/j.icheatmasstransfer.2007.11.004

Google Scholar

[14] N.C. Roy, Natural convection in the annulus bounded by two wavy wall cylinders having a chemically reacting fluid, International Journal of Heat and Mass Transfer, 138 (2019) 1082–1095.

DOI: 10.1016/j.ijheatmasstransfer.2019.04.133

Google Scholar

[15] S. Pandey, Y. G. Park, M. Y. Ha, An exhaustive review of studies on natural convection in enclosures with and without internal bodies of various shapes, International Journal of Heat and Mass Transfer, 138 (2019) 762–795.

DOI: 10.1016/j.ijheatmasstransfer.2019.04.097

Google Scholar

[16] A. K. Vanita, Effect of radial magnetic field on natural convection flow in alternate conducting vertical concentric annuli with ramped temperature, Engineering Science and Technology, 19 (2016) 1436–1451.

DOI: 10.1016/j.jestch.2016.04.010

Google Scholar

[17] H. Masoumi, M.S. Aghighi, A. Ammar, A. Nourbakhsh, Laminar natural convection of yield stress fluids in annular spaces between concentric cylinders, International Journal of Heat and Mass, 138 (2019) 1188–1198.

DOI: 10.1016/j.ijheatmasstransfer.2019.04.092

Google Scholar

[18] A.M. Aly, Natural convection over circular cylinders in a porous enclosure filled with a nanofluid under thermo-diffusion effects, Journal of the Taiwan Institute of Chemical Engineers, 70 (2017)88–103.

DOI: 10.1016/j.jtice.2016.10.050

Google Scholar

[19] H. Laidoudi, M. Helmaoui, M. Bouzit, A. Ghenaim. Natural convection of Newtonian fluids between two concentric cylinders of a special cross-sectional form, Thermal Science. 25 (2021) 3701–3714.

DOI: 10.2298/tsci200201190l

Google Scholar

[20] H. Laidoudi, Buoyancy-driven flow in annular space from two circular cylinders in tandem arrangement, Metallurgical and Materials Engineering, 26 (2020) 87–102.

DOI: 10.30544/481

Google Scholar

[21] M. Arbaban, M. R. Salimpour, Enhancement of laminar natural convective heat transfer in concentric annuli with radial fins using nanofluids, Heat and Mass Transfer, 51 (2015) 353–363.

DOI: 10.1007/s00231-014-1380-7

Google Scholar

[22] F. Mebarek-Oudina, Convective heat transfer of Titania nanofluids of different base fluids in cylindrical annulus with discrete heat source, Heat Transfer-Asian Research, 48 (2018)135–150.

DOI: 10.1002/htj.21375

Google Scholar

[23] H. Mihoubi, B. Bouderah, T. Tayebi, Improvement of free convection heat transfer in a concentric cylindrical annulus heat exchanger using nanofluid, Mathematical Modelling of Engineering Problems, 6 (2019) 566–574.

DOI: 10.18280/mmep.060412

Google Scholar

[24] A. Shadlaghani, M. Farzaneh, M. Shahabadi, M. R. Tavakoli, M.R. Safaei, I. Mazinani, Numerical investigation of serrated fins on natural convection from concentric and eccentric annuli with different cross sections, Journal of Thermal Analysis and Calorimetry, 135(2019)1429–1442.

DOI: 10.1007/s10973-018-7542-y

Google Scholar

[25] S. Touzani, A. Idrissi, A. Cheddadi, M. T. Ouazzani, Numerical Study of Laminar Natural Convection in a Finned Annulus: Low Isothermal Blocks Positions, Journal of Engineering Physics and Thermophysics, 92(2019) 1064–1071.

DOI: 10.1007/s10891-019-02021-6

Google Scholar

[26] X. Qiang, I. Siddique, K. Sadiq, N. AliShah, Double diffusive MHD convective flows of a viscous fluid under influence of the inclined magnetic field, source/sink and chemical reaction, Alexandria Engineering Journal, 59(2020) 4171-4181.

DOI: 10.1016/j.aej.2020.07.023

Google Scholar

[27] M.B. Riaz, I. Siddiqui, S.T. Saeed, A. Atangana, MHD Oldroyd-B fluid with slip condition in view of local and nonlocal kernels, J. Appl. Comput. Mech., 7 (2021) 116-127.

Google Scholar

[28] M. Nadeem, I. Siddique, F. Jarad, R. N. Jamil, Numerical study of MHD third-grade fluid flow through an inclined channel with ohmic heating under fuzzy environment, 9137479 (2021) 17.

DOI: 10.1155/2021/9137479

Google Scholar

[29] D. Vieru, I. Siddique, Axial flow of several non-newtonian fluids through a circular cylinder, International Journal of Applied Mechanics, 2(2010) 543-556.

DOI: 10.1142/s1758825110000640

Google Scholar

[30] I. Siddique, N. A. Shah, K. A. Abro, Thermography of ferromagnetic Walter's-B fluid through varying thermal stratification, South African Journal of Chemical Engineering, 36 (2021)118-126.

DOI: 10.1016/j.sajce.2020.12.004

Google Scholar

[31] I. A. Mirza, M. S. Akram, I. Siddique, Flows of a generalized second grade fluid in a cylinder due to a velocity shock, Chinese Journal of Physics, 60 (2019) 720-730.

DOI: 10.1016/j.cjph.2019.06.009

Google Scholar

[32] M. Marin, M.I.A. Othman, I.A. Abbas, An extension of the domain of influence theorem for generalized thermoelasticity of anisotropic material with voids, Journal of Computational and Theoretical Nanoscience, 12 (2015) 1594-1598.

DOI: 10.1166/jctn.2015.3934

Google Scholar

[33] A. Hobiny, F. Alzahrani, I. Abbas, M. Marin, The effect of fractional time derivative of bioheat model in skin tissue induced to laser irradiation, Symmetry, 12(2020) 602.

DOI: 10.3390/sym12040602

Google Scholar

© 2025 Trans Tech Publications Ltd. All rights are reserved, including those for text and data mining, AI training, and similar technologies. For open access content, terms of the Creative Commons licensing CC-BY are applied.
Scientific.Net is a registered trademark of Trans Tech Publications Ltd.