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A CFD investigation of the effect of non-Newtonian behavior of Cu–water nanofluids on their heat transfer and flow friction characteristics

  • Qingang Xiong
  • Mehdi Vahabzadeh Bozorg
  • Mohammad Hossein Doranehgard
  • Kun HongEmail author
  • Giulio LorenziniEmail author
Article
  • 41 Downloads

Abstract

In the present study, a finite volume method is used to investigate heat transfer and flow friction behavior of non-Newtonian nanofluids. To study a practical application of the mentioned concept, a simple model of a parabolic trough solar receiver is simulated. The main objective of the present study is to investigate the effect of non-Newtonian behavior of the working fluid on the performance of a parabolic trough solar collector. The heat transfer fluid is assumed to be a non-Newtonian nanofluid, and the flow regime is considered to be laminar. The effect of Cu nanoparticle addition on heat transfer coefficient and flow friction of Newtonian, shear-thinning and shear-thickening nanofluids are studied. To comprehensively investigate the effect of buoyancy-driven secondary flows on the average Nusselt number and friction factor of the absorber tube, simulations are carried out for different Grashof numbers (Gr = 105, 106, 107), Reynolds numbers (Re = 200, 500, 1000), Cu nanoparticle volume fractions (φ = 0, 0.01, 0.03) and non-Newtonian power-law indexes (n = 0.25, 0.75, 1, 1.25, 1.75). It is concluded that when shear-thickening nanofluids are utilized as the working fluid, nanoparticle addition makes no sensible changes in the average Nusselt number. Besides, for all values of non-Newtonian power-law index, variations in volume fraction values do not have any significant effect on the friction factor. Furthermore, it is shown that when the working fluid is shear-thinning, nanoparticle addition triggers to considerable increment in Nusselt number. At high Grashof and Reynolds numbers, the ratios of Nusselt number and friction factor of shear-thinning nanofluids (n = 0.25) to those of shear-thickening nanofluids are up to 3.57 and 0.08, respectively.

Keywords

CFD Nanofluid Non-Newtonian fluid Laminar flow Heat transfer coefficient Pressure drop 

List of symbols

Cp

Specific heat (J kg−1 K−1)

d

Diameter of the base fluid molecule (m)

dp

Diameter of the nanoparticle (m)

Dij

Rate of deformation tensor

Vs

Secondary flow

g

Gravitational acceleration (m s−2)

L

Receiver tube length (m)

D

Receiver tube diameter (m)

kB

Boltzmann constant (J K−1)

n

Power-law index

Nu

Nusselt number

P

Pressure (Pa)

k

Consistency index

Gr

Grashof number

Re

Reynolds number

f

Dimensionless friction factor

w

Streamwise velocity (m s−1)

PTC

Parabolic trough collector

HTF

Heat transfer fluid

CR

Concentration of the receiver tube

T

Temperature (K)

q

Heat flux (W m−2)

\(\vec{v}\)

Velocity field (m s−1)

\(u_{\text{B}}\)

Brownian velocity

Subscripts

avg

Average

w

Wall

fr

Reference

eff

Effective

f

Base fluid

in

Inlet

h

Hydrodynamic

m

Mixture (nanofluid)

p

Nanoparticle

x, y, z

Cartesian coordinates (m)

tot

Total

Greek letters

α

Thermal diffusivity (m2 s−1)

β

Thermal expansion coefficient (K−1)

θ

Dimensionless temperature

φ

Nanoparticle volume fraction

μ

Dynamic viscosity (kg m−1 s−1)

ρ

Density (kg m−3)

τ

Shear stress (Pa)

\(\dot{\gamma }\)

Effective strain rate

λ

Thermal conductivity (W m−1 K−1)

Notes

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Copyright information

© Akadémiai Kiadó, Budapest, Hungary 2019

Authors and Affiliations

  1. 1.National & Local Joint Engineering Research Center for Mineral Salt Deep Utilization, Key Laboratory for Palygorskite Science and Applied Technology of Jiangsu ProvinceHuaiyin Institute of TechnologyHuaianChina
  2. 2.Department of Energy Conversion, Combustion Research Laboratory, School of Mechanical EngineeringIran University of Science and TechnologyTehranIran
  3. 3.Department of Civil and Environmental Engineering, School of Mining and Petroleum EngineeringUniversity of AlbertaEdmontonCanada
  4. 4.IT Innovation Center, General MotorsWarrenUSA
  5. 5.Department of Engineering and ArchitectureUniversity of ParmaParmaItaly

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