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Numerical Heat Transfer, Part B: Fundamentals
An International Journal of Computation and Methodology
Volume 69, 2016 - Issue 4
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Original Articles

Analysis of a hybrid nanofluid exposed to radiation

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Pages 271-286 | Received 09 Jul 2015, Accepted 05 Sep 2015, Published online: 23 Mar 2016
 

ABSTRACT

Researchers are looking to utilize nanofluids as a way to increase the efficiency in solar energy applications. Metallic particles are becoming popular because of the plasmonic characteristics allowing for more absorption. Only homogenous nanofluids for solar applications have been considered. This article proposes the use of a hybrid nanofluid containing multiple types of nanoparticles with water as the base fluid exposed to radiation. This hybrid mixture can utilize a broader wavelength spectrum and absorb more heat. Recipes for combining gold, copper, aluminum, graphite, and silicon dioxide gold nanoparticles into water are given graphically and numerically for different concentrations, diameters, and container heights.

Nomenclature

area=

integrated area, W/m2

A=

integrated area, W/m

Areatot=

integrated area, W/m

c0=

speed of light, m/s

Cabs=

cross section, m2

d=

diameter, m

database=

database of particles

f=

fraction emissive power

h=

Planck’s constant J s

H=

height, m

I=

intensity, W/m2

k=

wavenumber, m−1

kB=

Boltzmann constant, m2 kg/s2 K

L=

length, m

n=

number of particles in fluid

N=

number in combination

P=

polarizability constant

Pj=

percentage of concentration

qr=

radiation term, W/m2

Qabs=

absorption coefficient

input=

input temperature

j=

type of nanoparticles

max=

maximum

min=

minimum

p=

particle

S=

graphite constant

T=

Temperature, K

V=

Volume, m3

y=

direction, m

α=

polarizability

=

damping term, s−1

ε=

permittivity

ε=

permittivity of the bulk particle

κ=

absorption index

λ=

wavelength, m

σ=

absorption coefficients, m−1

φ=

volume faction

ω=

frequency, s−1

Subscripts=
abs=

absorption

b=

blackbody

f=

fluid

plasma=

plasma

S=

graphite constant

tot=

total

λ=

wavelength

Nomenclature

area=

integrated area, W/m2

A=

integrated area, W/m

Areatot=

integrated area, W/m

c0=

speed of light, m/s

Cabs=

cross section, m2

d=

diameter, m

database=

database of particles

f=

fraction emissive power

h=

Planck’s constant J s

H=

height, m

I=

intensity, W/m2

k=

wavenumber, m−1

kB=

Boltzmann constant, m2 kg/s2 K

L=

length, m

n=

number of particles in fluid

N=

number in combination

P=

polarizability constant

Pj=

percentage of concentration

qr=

radiation term, W/m2

Qabs=

absorption coefficient

input=

input temperature

j=

type of nanoparticles

max=

maximum

min=

minimum

p=

particle

S=

graphite constant

T=

Temperature, K

V=

Volume, m3

y=

direction, m

α=

polarizability

=

damping term, s−1

ε=

permittivity

ε=

permittivity of the bulk particle

κ=

absorption index

λ=

wavelength, m

σ=

absorption coefficients, m−1

φ=

volume faction

ω=

frequency, s−1

Subscripts=
abs=

absorption

b=

blackbody

f=

fluid

plasma=

plasma

S=

graphite constant

tot=

total

λ=

wavelength

Acknowledgments

Thanks to Alliances for Graduate Education and the Professoriate (AGEP) and Dr. Bayazitoglu’s heat transfer lab at Rice University for their contribution.

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