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Triple-objective optimization of a double-tube heat exchanger with elliptic cross section in the presence TiO2 nanofluid

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Abstract

The present paper deals with numerical simulation and triple-objective optimization of a double-tube heat exchanger equipped with an elliptic cross section in the presence of TiO2 nanofluid. A CFD simulation is done to find the thermal, fluid flow, and entropy generation behavior of suggested heat exchanger configuration. The results indicate that the change of geometrical and operational parameters has different influences on the suggested heat exchanger performance. Findings show that increasing the Reynolds number from 10,000 to 50,000 with TiO2 concentration of 0.3% results in increasing overall heat transfer coefficient from 9445.8 to 14,622 W m−2 K−1 for the spiral diameter of 220 mm. The results of specific entropy generation infer that in the Reynolds number of 4000 with changing TiO2 particle concentration from 0 (pure water) to 0.3%, the specific entropy generation increases from 0.97 to 1.209 kJ kg−1 K−1. A triple-objective optimization with overall heat transfer, friction factor, and specific entropy generation as objective functions, and nanoparticle concentration, Reynolds number, and spiral diameter as decision variables, is done. Different states regarding three objectives introduces as optimum studied system.

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Abbreviations

A :

Area of joint wall between two fluid (m2)

a :

Half a large ellipse diameter (m)

b :

Half a small ellipse diameter (m)

d :

Diameter (m)

D :

Spiral diameter (m)

f :

Friction coefficient

h :

Heat transfer coefficient (W m−2 K−1)

I :

Turbulent intensity

k :

Thermal conductivity (W m−1 K−1)

\(\dot{m}\) :

Mass flow rate (kg s−1)

Nu :

Nusselt number

Q :

Heat transfer between two fluids (W)

Re :

Reynolds number

S :

Spiral pitch (m)

\(\dot{S}_{\text{gen}}^{\prime }\) :

Entropy generation rate per unit of length

T :

Temperature (K)

T LMTD :

Logarithmic mean temperature difference

U :

Overall heat transfer coefficient (W m−2 K−1)

u :

Velocity component in flow direction (m s−1)

V :

Velocity (m s−1)

δ :

Curvature ratio, d = dh/D

μ :

Viscosity (mPa s)

ρ :

Density (kg m−3)

φ :

Nanoparticle volume concentration

ave:

Average

bf:

Base fluid

h:

Hydraulic

in:

Inlet

nf:

Nanofluid

np:

Nanoparticle

out:

Outlet

w:

Water

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Authors and Affiliations

  1. Department of Mechanical Engineering, Kermanshah University, Kermanshah, Iran

    Shoaib Khanmohammadi & Zeynab Rahimi

  2. Department of Mechanical Engineering, University of Kashan, Kashan, Iran

    Saber Khanmohammadi

  3. Laboratory of Magnetism and Magnetic Materials, Advanced Institute of Materials Science, Ton Duc Thang University, Ho Chi Minh City, Vietnam

    Masoud Afrand

  4. Faculty of Applied Sciences, Ton Duc Thang University, Ho Chi Minh City, Vietnam

    Masoud Afrand

Authors
  1. Shoaib Khanmohammadi
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  2. Zeynab Rahimi
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  3. Saber Khanmohammadi
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  4. Masoud Afrand
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Correspondence to Masoud Afrand.

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Khanmohammadi, S., Rahimi, Z., Khanmohammadi, S. et al. Triple-objective optimization of a double-tube heat exchanger with elliptic cross section in the presence TiO2 nanofluid. J Therm Anal Calorim 140, 477–488 (2020). https://doi.org/10.1007/s10973-019-08744-1

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