Startseite Numerical Study of Flow and Heat Transfer with ZnO-Water Nanofluid in Flattened Tubes
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Numerical Study of Flow and Heat Transfer with ZnO-Water Nanofluid in Flattened Tubes

  • Mark Wing Tsan Lee und Kumar Perumal ORCID logo EMAIL logo
Veröffentlicht/Copyright: 31. Oktober 2019
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Abstract

The usage of nanofluids and modification of tube geometry are the two most prominent heat transfer enhancement methods employed to improve the performance of thermal devices. In this work, the combined effect of these methods has been studied by CFD modelling of developing and Graetz laminar flow in flattened tubes with ZnO – water nanofluid. For the purpose of comparison, simulation with water and circular tube has also been carried out. Performance evaluation has been done using PEC, PER and entropy generation. Results reveal that tube flattening has more pronounced effect on both heat transfer and flow compared to that of nanofluid. An optimum tube flattening in terms of aspect ratio and nanofluid concentration has also been identified for this kind of flow. Flattened tube with aspect ratio 6 with 1 % ZnO-water nanofluid has been found to yield the highest entropy generation reduction of 13.24 %

Nomenclature

Greek Symbols
Α

Thermal diffusivity (m2/s)

β

Fraction of liquid volume travelling with a particle

γ

Ratio of nanolayer thermal conductivity to particle conductivity

δ

Distance between nanoparticles (m)

Є

Aspect ratio of geometry cross-sectional height to width

μ

Dynamic viscosity (Pa.s)

ρ

Density (kg/m3)

ϕ

Volume fraction

χ

Ratio of the nanolayer thickness to the particle radius

ψ

Particle sphericity

τ

Dimensionless wall and fluid temperature difference

λ

Dimensionless length of circular tube

φ

Total dimensionless entropy

Latin Symbols
A

Area (m2)

AR

Aspect ratio

c

Correction factor

C

Specific heat capacity (J/ kg K)

C1

Constant

Cf

Skin friction coefficient

d

Diameter

Ec

Eckart number

f

Darcy’s friction factor

fr

Friction coefficient

h

Convective heat transfer coefficient (W/m2K)

k

Thermal conductivity (W/mK)

K

Boltzmann constant, 1.381 × 10−23 J/K

kpe

Equivalent thermal conductivity (W/mK)

L

Length of channel (m)

m

Mass flow rate (kg/s)

n

Empirical shape factor

Nu

Nusselt number

OS

Occupied space (m2)

P

Perimeter

PEC

performance evaluation criterion

PER

performance enhancement ratio

ΔP

Pressure drop (Pa)

Pr

Prandtl number

Q

Heat transfer (W)

q

Heat flux (W/m2)

Re

Reynolds number

Sgen

Entropy generation

T

Temperature (K)

To

Reference temperature, 273 K

u

Fluid velocity (m/s)

V

Volume (m3)

Volumetric flow rate (m3)

W

Pumping power (W)

Subscripts
b

Bulk

bf

Base fluid

c

Cross-sectional

f

Fluid

h

Hydraulic

in

Inlet

LMTD

Logarithmic Mean Temperature Difference

max

Maximum value

nf

Nanofluid

out

Outlet

p

Nanoparticle

s

Surface

w

water

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Received: 2019-07-03
Revised: 2019-09-16
Accepted: 2019-10-05
Published Online: 2019-10-31

© 2019 Walter de Gruyter GmbH, Berlin/Boston

Heruntergeladen am 30.11.2025 von https://www.degruyterbrill.com/document/doi/10.1515/cppm-2019-0092/pdf
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