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Effect of simultaneous application of chaotic laminar flow of nanofluid and non-uniform magnetic field on the entropy generation and energetic/exergetic efficiency

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Abstract

This work aims to characterize the heat exchange system efficiency and entropy generation of nanofluid forced convection flow with chaotic perturbations influenced by a non-uniform magnetic field. The study investigates numerically the effects of combined passive/active methods presented in terms of chaotic advection, nanoparticles and non-uniform magnetic field on the fluid flow performances. Adopted parameters for the characterization are the convection heat transfer coefficient, field synergy principle, entropy production and efficiency according to the first and second law of thermodynamics. Several parameters were used to evaluate the current study, such as Hartmann and Reynolds numbers, concentration of nanoparticles as well as the mode of application and orientation of the magnetic field. The main results show that the co-effect of the magnetic intensity (Ha), its orientation (transversal) besides with its application mode (partial) stimulate the performance of such energy systems. Furthermore, the production of entropy in laminar regime is due only to the thermal irreversibilities, while the produced ones by friction and magnetic field are insignificant. Using the second law of thermodynamics, exergetic efficiency is dominated by heat transfer since the first law of thermodynamics overestimates the pressure drops in the flow.

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Abbreviations

A :

Area of the cross section, m2

A L :

Lateral surface of the duct, m2

\(\vec{B}\) :

Magnetic field

B 0 :

The magnetic field strength, Tesla

Be:

Bejan number

C p :

Specific heat, J kg−1 K−1

D h :

Hydraulic diameter, m

Ec:

Eckert number

Ha:

Hartmann number

h :

Coefficient of convection heat transfer, W m−2 K−1

k :

Thermal conductivity, W m−1 K−1

Nu:

Nusselt number

p :

Pressure, Pa

P :

Dimensionless pressure

Pr:

Prandtl number

q :

Heat flux density, W m−2

Ra:

Rayleigh number

Re:

Reynolds number

S :

Entropy, W K−1

l :

Unfolded length of the duct, m

u, v, w :

Velocities following x, y, z coordinates, m s−1

U, V, W :

Non-dimensional velocities

T :

Temperature, K

x, y, z :

Cartesian coordinates, m

X, Y, Z :

Non-dimensional coordinates

α :

Thermal diffusivity, m2 s−1

β :

Thermal expansion coefficient, K−1

θ :

Dimensionless temperature

ρ :

Fluid density, kg m−3

σ :

Electrical conductivity, Ω−1 m−1

\(\emptyset\) :

Solid volume fraction

µ :

Dynamic viscosity, kg s−1 m−1

ν :

Kinematic viscosity, m2 s−1

γ :

Inclination angle of magnetic field

δ :

Standard deviation

ϑ :

Synergy angle

c:

Cold

f:

Fluid

h:

Hot

L:

Local

m:

Average

nf:

Nanofluid

s:

Solid

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Acknowledgements

This research was supported by the directorate general DGRSDT under the authority of the Algerian Ministry of high education and scientific research.

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Authors and Affiliations

  1. Laboratory of Development in Mechanics and Materials LDMM, Department of Mechanical Engineering, University of Djelfa, Djelfa, Algeria

    Lakhdar Aidaoui & Yahia Lasbet

  2. Department of Mechanical Engineering, Celal Bayar University, 45140, Manisa, Turkey

    Fatih Selimefendigil

Authors
  1. Lakhdar Aidaoui
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  2. Yahia Lasbet
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  3. Fatih Selimefendigil
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Correspondence to Lakhdar Aidaoui.

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Aidaoui, L., Lasbet, Y. & Selimefendigil, F. Effect of simultaneous application of chaotic laminar flow of nanofluid and non-uniform magnetic field on the entropy generation and energetic/exergetic efficiency. J Therm Anal Calorim 147, 5865–5882 (2022). https://doi.org/10.1007/s10973-021-10905-0

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