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Entropy generation on magneto-convective flow of copper–water nanofluid in a cavity with chamfers

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Abstract

The irreversibility in convective nanofluid flow in the occurrence of a magnetic field (MHD) in a cavity with chamfers is calculated by numerical approach. The nanofluid flow is considered under the impacts of magnetic field and thermal gradient. The continuity, motion and energy equations are solved by applying COMSOL Multiphysics computer package. The impacts of \(({\text{Ha}})\) Hartmann number, \((\gamma )\) elevation of magnetic field, nanoparticle volume fraction, heat transmission and entropy analysis on the flow of nanofluid are discussed. Results reveal that, the impacts of volume fraction and the magnetic force on different irreversibility are significant. Moreover, results indicate the existence of a critical \(({\text{Ha}}_{{\text{c}}} )\) Hartmann number this represents the frontier between the domains where the magnetic field dominates via its intrinsic effect and its extrinsic effect.

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Abbreviations

B 0 :

Magnetic induction (T)

c p :

Specific heat capacity (J kg K−1)

g :

Gravitational acceleration (m s−2)

H :

Cavity height (m)

Ha:

Hartmann number

K :

Thermal conductivity (W m−1 K−1)

Nu:

Nusselt number

p :

Pressure (kg m−1 s−2)

P :

Dimensionless pressure

Pr:

Prandtl number \(\left( {\Pr = \frac{\nu }{\alpha }} \right)\)

Ra:

Rayleigh number \(\left( {{\text{Ra}} = \frac{{g\beta (T^{\prime}_{{\text{h}}} - T^{\prime}_{{\text{c}}} )H^{3} }}{\nu \alpha }} \right)\)

s gen :

Total dimensional entropy generation

S gen :

Total dimensionless entropy generation

S Ther :

Thermal entropy generation

S Magn :

Magnetic entropy generation

S Visc :

Viscous entropy generation

T′:

Temperature (K)

T :

Dimensionless temperature

T 0 :

Average temperature (K)

u, v :

x and y-Velocity components (m s−1)

U, V :

Dimensionless x and y-velocity components

x, y :

Dimensionless coordinates

α :

Thermal diffusivity (m2 s−1)

β :

Thermal expansion coefficient (K−1)

μ :

Dynamic viscosity (kg m−1 s−1)

ν :

Kinematic viscosity (m2s−1)

ρ :

Density (kg m−3)

σ :

Electrical conductivity (Ω−1 m−1)

Γ:

Inclination angle of magnetic field (°)

\(\psi\) :

The distribution irreversibility ratio

Φ :

Volume fraction (%)

0:

Reference

Avg:

Average

C :

Cold side

H :

Fluid hot side

f:

Fluid

nf:

Nanofluid

s:

Solid

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Authors and Affiliations

  1. Applied Thermodynamics Unit, Chemical and Process Engineering Department, National School of Engineers Gabès, Gabes University, Omar Ibn El Khattab Street, 6029, Gabes, Tunisia

    S. Marzougui & M. Magherbi

  2. Civil Engineering Department, High Institute of Applied Sciences and Technology, Gabes University, Omar Ibn El Khattab Street, 6029, Gabes, Tunisia

    S. Marzougui & M. Magherbi

  3. Department of Physics, Faculty of Sciences, University of 20 août 1955-Skikda, B.P 26 Road El-Hadaiek, 21000, Skikda, Algeria

    Fateh Mebarek-Oudina

  4. LPQ3M, University of Mascara, Mascara, Algeria

    A. Assia

  5. Center of Excellence in Theoretical and Computational Science (TaCS-CoE), SCL 802 Fixed Point Laboratory, Science Laboratory Building, King Mongkut’s University of Technology Thonburi (KMUTT), Bangkok, Thailand

    Zahir Shah

  6. Department of Mathematics, Symbiosis Institute of Technology, Symbiosis International University, Pune, 412115, India

    K. Ramesh

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  1. S. Marzougui
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  2. Fateh Mebarek-Oudina
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Correspondence to Fateh Mebarek-Oudina.

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Marzougui, S., Mebarek-Oudina, F., Assia, A. et al. Entropy generation on magneto-convective flow of copper–water nanofluid in a cavity with chamfers. J Therm Anal Calorim 143, 2203–2214 (2021). https://doi.org/10.1007/s10973-020-09662-3

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