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Comparative numerical study of single and two-phase models of nanofluid heat transfer in wavy channel

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Abstract

The main purpose of this study is to survey numerically comparison of two-phase and single phase of heat transfer and flow field of copper-water nanofluid in a wavy channel. The computational fluid dynamics (CFD) prediction is used for heat transfer and flow prediction of the single phase and three different two-phase models (mixture, volume of fluid (VOF), and Eulerian). The heat transfer coefficient, temperature, and velocity distributions are investigated. The results show that the differences between the temperature field in the single phase and two-phase models are greater than those in the hydrodynamic field. Also, it is found that the heat transfer coefficient predicted by the single phase model is enhanced by increasing the volume fraction of nanoparticles for all Reynolds numbers; while for the two-phase models, when the Reynolds number is low, increasing the volume fraction of nanoparticles will enhance the heat transfer coefficient in the front and the middle of the wavy channel, but gradually decrease along the wavy channel.

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Abbreviations

c p :

specific heat

C f :

skin friction coefficient

d p :

particle diameter

g :

gravitational acceleration

H :

height of channel

h :

convective heat transfer coefficient

k :

conductivity

L :

length of channel

Nu :

Nusselt number \((\tfrac{{hD_H }} {{K_f }}) \)

Re H :

Reynolds number \((\tfrac{{\rho _f U_{in} D_H }} {{\mu _f }}) \)

S :

surface geometry function

T c :

inlet temperature

T w :

wall temperature

u :

velocity component in X-direction

ρ :

density

V :

velocity

v :

velocity component in Y -direction

β :

thermal expansion coefficient

ϕ :

volume fraction

ν :

kinematic viscosity

µ:

dynamic viscosity

eff:

effective

bf:

base fluid

in:

inlet

m:

mixture

nf:

nanofluid

s:

solid particle

w:

wall

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Author information

Authors and Affiliations

  1. Department of Mechanical Engineering, Faculty of Engineering, Bu-Ali Sina University, Hamedan, 65178-38695, Iran

    M. M. Rashidi & A. Hosseini

  2. Department of Mathematics, BabeçBolyai University, Cluj-Napoca, 400084, Romania

    I. Pop

  3. Department of Mathematics, National Institute of Technology, Jamshedpur, 831014, Jharkhand, India

    S. Kumar

  4. Young Researchers & Elite Club, Hamedan Branch, Islamic Azad University, Hamedan, 65181-15743, Iran

    N. Freidoonimehr

Authors
  1. M. M. Rashidi
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  2. A. Hosseini
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  3. I. Pop
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  4. S. Kumar
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  5. N. Freidoonimehr
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Correspondence to I. Pop.

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Rashidi, M.M., Hosseini, A., Pop, I. et al. Comparative numerical study of single and two-phase models of nanofluid heat transfer in wavy channel. Appl. Math. Mech.-Engl. Ed. 35, 831–848 (2014). https://doi.org/10.1007/s10483-014-1839-9

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  • DOI: https://doi.org/10.1007/s10483-014-1839-9

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