Numerical investigation of mixed convection and entropy generation in a wavy-walled cavity filled with nanofluid and involving a rotating cylinder

Ammar I. Alsabery, Muneer A. Ismael, Ali J. Chamkha, Ishak Hashim

Research output: Contribution to journalArticle

5 Citations (Scopus)

Abstract

This numerical study considers the mixed convection and the inherent entropy generated in Al2O3-water nanofluid filling a cavity containing a rotating conductive cylinder. The vertical walls of the cavity are wavy and are cooled isothermally. The horizontal walls are thermally insulated, except for a heat source segment located at the bottom wall. The dimensionless governing equations subject to the selected boundary conditions are solved numerically using the Galerkin finite-element method. The study is accomplished by inspecting different ranges of the physical and geometrical parameters, namely, the Rayleigh number (103 ≤ Ra ≤ 106 ), angular rotational velocity (0 ≤ Ω ≤ 750), number of undulations (0 ≤ N ≤ 4), volume fraction of Al2O3 nanoparticles (0 ≤ ϕ ≤ 0.04), and the length of the heat source (0.2 ≤ H ≤ 0.8). The results show that the rotation of the cylinder boosts the rate of heat exchange when the Rayleigh number is less than 5 × 105. The number of undulations affects the average Nusselt number for a still cylinder. The rate of heat exchange increases with the volume fraction of the Al2O3 nanoparticles and the length of the heater segment.

Original languageEnglish
Article number664
JournalEntropy
Volume20
Issue number9
DOIs
Publication statusPublished - 3 Sep 2018

Fingerprint

rotating cylinders
convection
Rayleigh number
entropy
heat sources
cavities
heat
nanoparticles
Nusselt number
acceleration (physics)
heaters
finite element method
boundary conditions
water

Keywords

  • Entropy generation
  • Heat source
  • Mixed convection
  • Rotating solid cylinder
  • Wavy cavity

ASJC Scopus subject areas

  • Physics and Astronomy(all)

Cite this

Numerical investigation of mixed convection and entropy generation in a wavy-walled cavity filled with nanofluid and involving a rotating cylinder. / Alsabery, Ammar I.; Ismael, Muneer A.; Chamkha, Ali J.; Hashim, Ishak.

In: Entropy, Vol. 20, No. 9, 664, 03.09.2018.

Research output: Contribution to journalArticle

@article{5939cc2f67aa474080f2fb276458d8ae,
title = "Numerical investigation of mixed convection and entropy generation in a wavy-walled cavity filled with nanofluid and involving a rotating cylinder",
abstract = "This numerical study considers the mixed convection and the inherent entropy generated in Al2O3-water nanofluid filling a cavity containing a rotating conductive cylinder. The vertical walls of the cavity are wavy and are cooled isothermally. The horizontal walls are thermally insulated, except for a heat source segment located at the bottom wall. The dimensionless governing equations subject to the selected boundary conditions are solved numerically using the Galerkin finite-element method. The study is accomplished by inspecting different ranges of the physical and geometrical parameters, namely, the Rayleigh number (103 ≤ Ra ≤ 106 ), angular rotational velocity (0 ≤ Ω ≤ 750), number of undulations (0 ≤ N ≤ 4), volume fraction of Al2O3 nanoparticles (0 ≤ ϕ ≤ 0.04), and the length of the heat source (0.2 ≤ H ≤ 0.8). The results show that the rotation of the cylinder boosts the rate of heat exchange when the Rayleigh number is less than 5 × 105. The number of undulations affects the average Nusselt number for a still cylinder. The rate of heat exchange increases with the volume fraction of the Al2O3 nanoparticles and the length of the heater segment.",
keywords = "Entropy generation, Heat source, Mixed convection, Rotating solid cylinder, Wavy cavity",
author = "Alsabery, {Ammar I.} and Ismael, {Muneer A.} and Chamkha, {Ali J.} and Ishak Hashim",
year = "2018",
month = "9",
day = "3",
doi = "10.3390/e20090664",
language = "English",
volume = "20",
journal = "Entropy",
issn = "1099-4300",
publisher = "Multidisciplinary Digital Publishing Institute (MDPI)",
number = "9",

}

TY - JOUR

T1 - Numerical investigation of mixed convection and entropy generation in a wavy-walled cavity filled with nanofluid and involving a rotating cylinder

AU - Alsabery, Ammar I.

AU - Ismael, Muneer A.

AU - Chamkha, Ali J.

AU - Hashim, Ishak

PY - 2018/9/3

Y1 - 2018/9/3

N2 - This numerical study considers the mixed convection and the inherent entropy generated in Al2O3-water nanofluid filling a cavity containing a rotating conductive cylinder. The vertical walls of the cavity are wavy and are cooled isothermally. The horizontal walls are thermally insulated, except for a heat source segment located at the bottom wall. The dimensionless governing equations subject to the selected boundary conditions are solved numerically using the Galerkin finite-element method. The study is accomplished by inspecting different ranges of the physical and geometrical parameters, namely, the Rayleigh number (103 ≤ Ra ≤ 106 ), angular rotational velocity (0 ≤ Ω ≤ 750), number of undulations (0 ≤ N ≤ 4), volume fraction of Al2O3 nanoparticles (0 ≤ ϕ ≤ 0.04), and the length of the heat source (0.2 ≤ H ≤ 0.8). The results show that the rotation of the cylinder boosts the rate of heat exchange when the Rayleigh number is less than 5 × 105. The number of undulations affects the average Nusselt number for a still cylinder. The rate of heat exchange increases with the volume fraction of the Al2O3 nanoparticles and the length of the heater segment.

AB - This numerical study considers the mixed convection and the inherent entropy generated in Al2O3-water nanofluid filling a cavity containing a rotating conductive cylinder. The vertical walls of the cavity are wavy and are cooled isothermally. The horizontal walls are thermally insulated, except for a heat source segment located at the bottom wall. The dimensionless governing equations subject to the selected boundary conditions are solved numerically using the Galerkin finite-element method. The study is accomplished by inspecting different ranges of the physical and geometrical parameters, namely, the Rayleigh number (103 ≤ Ra ≤ 106 ), angular rotational velocity (0 ≤ Ω ≤ 750), number of undulations (0 ≤ N ≤ 4), volume fraction of Al2O3 nanoparticles (0 ≤ ϕ ≤ 0.04), and the length of the heat source (0.2 ≤ H ≤ 0.8). The results show that the rotation of the cylinder boosts the rate of heat exchange when the Rayleigh number is less than 5 × 105. The number of undulations affects the average Nusselt number for a still cylinder. The rate of heat exchange increases with the volume fraction of the Al2O3 nanoparticles and the length of the heater segment.

KW - Entropy generation

KW - Heat source

KW - Mixed convection

KW - Rotating solid cylinder

KW - Wavy cavity

UR - http://www.scopus.com/inward/record.url?scp=85053712593&partnerID=8YFLogxK

UR - http://www.scopus.com/inward/citedby.url?scp=85053712593&partnerID=8YFLogxK

U2 - 10.3390/e20090664

DO - 10.3390/e20090664

M3 - Article

VL - 20

JO - Entropy

JF - Entropy

SN - 1099-4300

IS - 9

M1 - 664

ER -