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Applied Mathematics and Mechanics

, Volume 35, Issue 7, pp 831–848 | Cite as

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

  • M. M. Rashidi
  • A. Hosseini
  • I. PopEmail author
  • S. Kumar
  • N. Freidoonimehr
Article

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.

Key words

nanofluid two-phase model wavy channel semi implicit method for pressure linked equation (SIMPLE) method 

Nomenclature

cp

specific heat

Cf

skin friction coefficient

dp

particle diameter

g

gravitational acceleration

H

height of channel

h

convective heat transfer coefficient

k

conductivity

L

length of channel

Nu

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

ReH

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

S

surface geometry function

Tc

inlet temperature

Tw

wall temperature

u

velocity component in X-direction

ρ

density

V

velocity

v

velocity component in Y -direction

Greek Letters

β

thermal expansion coefficient

ϕ

volume fraction

ν

kinematic viscosity

µ

dynamic viscosity

Subscripts

eff

effective

bf

base fluid

in

inlet

m

mixture

nf

nanofluid

s

solid particle

w

wall

Chinese Library Classification

O414.1 

2010 Mathematics Subject Classification

82D80 80A20 

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Copyright information

© Shanghai University and Springer-Verlag Berlin Heidelberg 2014

Authors and Affiliations

  • M. M. Rashidi
    • 1
  • A. Hosseini
    • 1
  • I. Pop
    • 2
    Email author
  • S. Kumar
    • 3
  • N. Freidoonimehr
    • 4
  1. 1.Department of Mechanical Engineering, Faculty of EngineeringBu-Ali Sina UniversityHamedanIran
  2. 2.Department of MathematicsBabeçBolyai UniversityCluj-NapocaRomania
  3. 3.Department of MathematicsNational Institute of TechnologyJamshedpurIndia
  4. 4.Young Researchers & Elite Club, Hamedan BranchIslamic Azad UniversityHamedanIran

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