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Investigation of volume fraction of nanoparticles effect and aspect ratio of the twisted tape in the tube

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Abstract

In present study, the heat transfer of laminar and turbulent flow of water/Al2O3 nanofluid in the volume fraction of φ = 0–4% of solid nanoparticles in Reynolds numbers of 500–25,000 have been numerically investigated. The studied geometrics is a three-dimensional tube with the diameter of D = 2 cm and the length of L = 50 cm. In order to increase the heat transfer inside horizontal tube, the twisted tape in different aspect ratios has been used. In this research, the considered geometrics with aspect parameters, such as the twisted ratios (P/W) of 3, 3.5 and 4, the space ratios (C/D) of 0.3, 0.4 and 0.5 and the tape width ratios (W/D) at the range of 0.5–0.9, has been investigated. The results indicate that, in the turbulent flow, the use of solid nanoparticle in higher volume fractions and Reynolds numbers, comparing to the laminar flow, improves heat transfer. The existence of solid nanoparticles in lower twisted ratios (P/W) has great effect on the heat transfer enhancement. In the laminar flow, by increasing the width of twisted tape and the concentration of nanoparticles, heat transfer enhances.

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Abbreviations

A :

Area (m2)

C :

Distance between the twisted tape to the tube diameter (m)

C p :

Heat capacity (J kg−1 K−1)

D :

Tube diameter (m)

F :

Friction factor

H :

Convective heat transfer coefficient (W m−2 K−1)

K :

Thermal conductivity coefficient (W m−1 K−1)

L :

Tube length (m)

Nu :

Nusselt number

P :

Pressure (Pa)

P :

Twisting pitch (m)

Pr :

Prandtl number

Q″:

Heat flux (W m−2)

R :

Radius of the tube (m)

Re :

Reynolds number

T :

Temperature (K)

U in :

Inlet velocity in x directions (m s−1)

W :

Width twisted tape (m)

x, y, z :

Cartesian coordinates

∆:

Difference

δ :

Tape thickness

φ :

Nanoparticles volume fraction

μ :

Dynamic viscosity (Pa s)

ρ :

Density (kg m−3)

υ :

Kinematics viscosity (m2 s−1)

Ave:

Average

C :

Cold

Eff:

Effective

F :

Base fluid (pure water)

H :

Hot

In:

Inlet

Nf:

Nanofluid

P :

Solid nanoparticles

W :

Wall

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Authors and Affiliations

  1. Young Researchers and Elite Club, Khomeinishahr Branch, Islamic Azad University, Khomeini Shahr, Islamic Republic of Iran

    Omid Ali Akbari & Abedin Arabpour

  2. Department of Mechanical Engineering, Babol Noshirvani University of Technology, Babol, Islamic Republic of Iran

    Hamid Hassanzadeh Afrouzi

  3. Department of Mechanical Engineering, Aligoudarz Branch, Islamic Azad University, Aligoudarz, Islamic Republic of Iran

    Ali Marzban

  4. Department of Mechanical Engineering, Khomeinishahr Branch, Islamic Azad University, Khomeini Shahr, 84175-119, Islamic Republic of Iran

    Davood Toghraie

  5. Department of Mechanical Engineering, Qaemshahr Branch, Islamic Azad University, Qaem Shahr, Islamic Republic of Iran

    Hossein Malekzade

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  1. Omid Ali Akbari
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  2. Hamid Hassanzadeh Afrouzi
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Correspondence to Davood Toghraie.

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Akbari, O.A., Afrouzi, H.H., Marzban, A. et al. Investigation of volume fraction of nanoparticles effect and aspect ratio of the twisted tape in the tube. J Therm Anal Calorim 129, 1911–1922 (2017). https://doi.org/10.1007/s10973-017-6372-7

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