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Table 3 Properties of the nanofluid (at 25°C, 1 atm)

From: Spray cooling characteristics of nanofluids for electronic power devices

 

Ag

MCNT

Volume fraction, ϕ (vol.%)

0.0025

0.0050

0.0075

0.0025

0.0050

0.0075

Density, ρ nf (kg/m3)

997.24

997.47

997.71

997.04

997.08

997.12

Heat capacity, C p,nf (kJ/kg-K)

4.19990

4.19980

4.19970

4.19991

4.19981

4.19972

Viscosity, μ nf (N-s/m2)

8.90056 × 10−4

8.90111 × 10−4

8.90167 × 10−4

8.90028 × 10−4

8.900056 × 10−4

8.90083 × 10−4

Thermal conductivity, k nf (W/m-K)

0.6060

0.6061

0.6062

0.6078

0.6095

0.6113

Prandtl number, Prnf

6.16810

6.16788

6.16766

6.15041

6.13260

6.11490

Surface tension, σ(N/m) (measured)

0.129

0.097

0.089

0.078

0.068

0.063

Surface area, (m2/100 g solution)

3.9

7.8

11.7

1.3

2.6

3.9

Density, ρ nf

ρ nf = (1 − φ)ρ bf + φρ np [16]

Heat capacity, C p,nf

C p. nf = (1 − φ)C p,bf + φC p,np [17]

Viscosity, μ nf

μ nf = μ bf(1 + 1.25 φ) for MCNT [18]

μ nf = μ bf(1 + 2.5 φ) for Ag [19]

Thermal conductivity, k nf

\( {k}_{\mathrm{nf}}={k}_{\mathrm{bf}}\frac{k_{\mathrm{np}}/{k}_{\mathrm{bf}}+K-K\upvarphi \left(1-{k}_{\mathrm{np}}/{k}_{\mathrm{bf}}\right)}{k_{\mathrm{np}}/{k}_{\mathrm{bf}}+K+\upvarphi \left(1-{k}_{\mathrm{np}}/{k}_{\mathrm{bf}}\right)} \) where \( K=2\ {\upvarphi}^{0.2}\left(\frac{1}{d}\right) \) for MCNT [20] \( {k}_{\mathrm{nf}}={k}_{\mathrm{bf}}\frac{k_{\mathrm{np}}+2{k}_{\mathrm{bf}}-2\upvarphi \left({k}_{\mathrm{bf}}-{k}_{\mathrm{np}}\right)}{k_{\mathrm{np}}+2{k}_{\mathrm{bf}}+\upvarphi \Big({k}_{\mathrm{bf}}-{k}_{\mathrm{np}\Big)}} \) for Ag [21]

  1. nf, nanofluid; bf, base fluid; np, nanoparticle; l, the length of MCNT; d, the diameter of MCNT.

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