Irreversibility analysis of a vertical annulus using TiO2/water nanofluid with MHD flow effects

Omid Mahian; Ioan Pop; Ahmet Z. Sahin; Hakan F. Oztop; Somchai Wongwises

doi:10.1016/j.ijheatmasstransfer.2013.05.001

Irreversibility analysis of a vertical annulus using TiO₂/water nanofluid with MHD flow effects

Omid Mahian^*, Ioan Pop, Ahmet Z. Sahin, Hakan F. Oztop, Somchai Wongwises

^*Corresponding author for this work

Research output: Contribution to journal › Article › peer-review

92 Citations (Scopus)

Abstract

In this paper, an analytical study of the second law of thermodynamics is performed for the flow and heat transfer of TiO₂/water nanofluid in a vertical annulus with isoflux walls and under the influence of magnetohydrodynamic (MHD) field. The governing equations in cylindrical coordinates are written and then simplified with reasonable assumptions. The simplified equations are solved analytically to obtain expressions for the velocity, temperature, and entropy generation distributions. The results are presented for different values of nanofluid volume fractions φ(0%≤φ≤2%), Hartmann number M and the flow parameter Gr/Re. To calculate the thermal conductivity and viscosity of TiO₂/water nanofluid, relations based on experimental data are used. Finally, using the well-known theoretical models for the thermal conductivity and viscosity, the effects of Hartmann number on the results are investigated.

Original language	English
Pages (from-to)	671-679
Number of pages	9
Journal	International Journal of Heat and Mass Transfer
Volume	64
DOIs	https://doi.org/10.1016/j.ijheatmasstransfer.2013.05.001
Publication status	Published - 2013
Externally published	Yes

Keywords

Analytical solution
Entropy generation
MHD flow
Nanofluid
Vertical annulus

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10.1016/j.ijheatmasstransfer.2013.05.001

Cite this

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title = "Irreversibility analysis of a vertical annulus using TiO2/water nanofluid with MHD flow effects",

abstract = "In this paper, an analytical study of the second law of thermodynamics is performed for the flow and heat transfer of TiO2/water nanofluid in a vertical annulus with isoflux walls and under the influence of magnetohydrodynamic (MHD) field. The governing equations in cylindrical coordinates are written and then simplified with reasonable assumptions. The simplified equations are solved analytically to obtain expressions for the velocity, temperature, and entropy generation distributions. The results are presented for different values of nanofluid volume fractions φ(0\%≤φ≤2\%), Hartmann number M and the flow parameter Gr/Re. To calculate the thermal conductivity and viscosity of TiO2/water nanofluid, relations based on experimental data are used. Finally, using the well-known theoretical models for the thermal conductivity and viscosity, the effects of Hartmann number on the results are investigated.",

keywords = "Analytical solution, Entropy generation, MHD flow, Nanofluid, Vertical annulus",

author = "Omid Mahian and Ioan Pop and Sahin, \{Ahmet Z.\} and Oztop, \{Hakan F.\} and Somchai Wongwises",

year = "2013",

doi = "10.1016/j.ijheatmasstransfer.2013.05.001",

language = "English",

volume = "64",

pages = "671--679",

journal = "International Journal of Heat and Mass Transfer",

issn = "0017-9310",

publisher = "Elsevier Ltd",

}

TY - JOUR

T1 - Irreversibility analysis of a vertical annulus using TiO2/water nanofluid with MHD flow effects

AU - Mahian, Omid

AU - Pop, Ioan

AU - Sahin, Ahmet Z.

AU - Oztop, Hakan F.

AU - Wongwises, Somchai

PY - 2013

Y1 - 2013

N2 - In this paper, an analytical study of the second law of thermodynamics is performed for the flow and heat transfer of TiO2/water nanofluid in a vertical annulus with isoflux walls and under the influence of magnetohydrodynamic (MHD) field. The governing equations in cylindrical coordinates are written and then simplified with reasonable assumptions. The simplified equations are solved analytically to obtain expressions for the velocity, temperature, and entropy generation distributions. The results are presented for different values of nanofluid volume fractions φ(0%≤φ≤2%), Hartmann number M and the flow parameter Gr/Re. To calculate the thermal conductivity and viscosity of TiO2/water nanofluid, relations based on experimental data are used. Finally, using the well-known theoretical models for the thermal conductivity and viscosity, the effects of Hartmann number on the results are investigated.

AB - In this paper, an analytical study of the second law of thermodynamics is performed for the flow and heat transfer of TiO2/water nanofluid in a vertical annulus with isoflux walls and under the influence of magnetohydrodynamic (MHD) field. The governing equations in cylindrical coordinates are written and then simplified with reasonable assumptions. The simplified equations are solved analytically to obtain expressions for the velocity, temperature, and entropy generation distributions. The results are presented for different values of nanofluid volume fractions φ(0%≤φ≤2%), Hartmann number M and the flow parameter Gr/Re. To calculate the thermal conductivity and viscosity of TiO2/water nanofluid, relations based on experimental data are used. Finally, using the well-known theoretical models for the thermal conductivity and viscosity, the effects of Hartmann number on the results are investigated.

KW - Analytical solution

KW - Entropy generation

KW - MHD flow

KW - Nanofluid

KW - Vertical annulus

UR - https://www.scopus.com/pages/publications/84878382294

U2 - 10.1016/j.ijheatmasstransfer.2013.05.001

DO - 10.1016/j.ijheatmasstransfer.2013.05.001

M3 - Article

AN - SCOPUS:84878382294

SN - 0017-9310

VL - 64

SP - 671

EP - 679

JO - International Journal of Heat and Mass Transfer

JF - International Journal of Heat and Mass Transfer

ER -

Irreversibility analysis of a vertical annulus using TiO₂/water nanofluid with MHD flow effects

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Keywords

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