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An experimental and numerical study of heat transfer in jacketed vessels by SiO2 nanofluid

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An Erratum to this article was published on 10 April 2017

Abstract

In the present investigation both numerical and experimental studies have been performed for SiO2/water nanofluid in different concentrations in the jacket side of a reactor that was equipped with a conventional jacket without baffle. Heat transfer rates were measured for nanofluid and base liquid. In order to solve the continuity, momentum, energy and turbulence equations, finite volume method and k–e turbulence model were utilized in three dimensions. For very dilute nanofluids (<0.1% volume fraction) no heat transfer enhancement was observed. For greater concentrations heat transfer rates augmented to some extent. Nusselt number increased with increasing the nanofluid concentration as well as Reynolds number. By using the least square method to all the experimental data two correlations for water and nanofluid were obtained.

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Abbreviations

A i :

Inside heat transfer area (m2)

A j :

Outlet heat transfer area (m2)

Cp i :

Specific heat of liquid inside the vessel (J/kg K)

Cp nf :

Specific heat of nanofluid (J/kg K)

Cp j :

Specific heat of liquid inside jacket (J/kg K)

Cp w :

Specific heat of water (J/kg K)

Cp s :

Specific heat of nanoparticles (J/kg K)

D:

Vessel diameter (m)

\(D_{eq}\) :

Equivalent diameter of jacket (m)

d c :

Diameter of jacket (m)

D:

Agitator diameter (m)

De:

Dean number

\(h_{i}\) :

Mixing vessel side heat transfer coefficient

h j :

Heat transfer coefficient of jacket side

k i :

Thermal conductivity of liquid inside vessel (W/m K)

k j :

Thermal conductivity of liquid inside jacket (W/m K)

\(k_{f}\) :

Thermal conductivity of fluid (W/m K)

k nf :

Thermal conductivity of nanofluid (W/m K)

k p :

Thermal conductivity of particles (W/m K)

L:

Length of the vessel (m)

N:

Rotation speed (rpm)

q j :

Flow rate of the cooling liquid (m3/s)

Q:

Heat flux (W)

r 1 :

Inlet radius of vessel (m)

r 2 :

Outlet radius of vessel (m)

t c :

Clearance of jacket (m)

T in :

Outlet temperature of cold liquid (°C)

T out :

Inlet temperature of cold liquid (°C)

U:

Overall heat transfer coefficient (W/m2 k)

ρ i :

Density of water inside the vessel (kg/m3)

ρ j :

Density of liquid inside the jacket (kg/m3)

ρ w :

Water density (kg/m3)

ρ s :

Density of nanoparticles (kg/m3)

ρ nf :

Density of nanofluid (kg/m3)

μ bulk :

Viscosity of liquid inside the vessel (Pa s)

μ nf :

Viscosity of nanofluid (Pa s)

μ w :

Viscosity of water (Pa s)

μ wall :

Viscosity of liquid near the wall (Pa s)

ϕ:

Nanoparticle volume fraction

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Acknowledgements

The authors gratefully acknowledge the Chemical Engineering Laboratory at Isfahan University of Technology.

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Authors and Affiliations

  1. Department of Chemical Engineering, Isfahan University of Technology, Isfahan, 8415683111, Iran

    Parinaz Hafezisefat & Mohsen Nasr Esfahany

  2. Department of Aerospace Engineering, Iowa State University, Ames, IA, 50011, USA

    Mohammad Jafari

Authors
  1. Parinaz Hafezisefat
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  2. Mohsen Nasr Esfahany
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  3. Mohammad Jafari
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Corresponding author

Correspondence to Mohammad Jafari.

Additional information

The original version of this article was revised: An author ‘Mohsen Nasr Esfahany’ is included in the list of authors and the Affiliation of the first and second author were corrected.

An erratum to this article is available at http://dx.doi.org/10.1007/s00231-017-2035-2.

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Hafezisefat, P., Nasr Esfahany, M. & Jafari, M. An experimental and numerical study of heat transfer in jacketed vessels by SiO2 nanofluid. Heat Mass Transfer 53, 2395–2405 (2017). https://doi.org/10.1007/s00231-017-1989-4

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  • DOI: https://doi.org/10.1007/s00231-017-1989-4

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