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Entropy generation analysis due to MHD natural convection flow in a cavity occupied with hybrid nanofluid and equipped with a conducting hollow cylinder

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Abstract

The main objective of this numerical investigation was to analyze the entropy generation and natural convection flow under magnetic field in a square enclosure filled with Cu–Al2O3/water hybrid nanofluid. The enclosure is equipped with a conducting hollow cylinder. The free convective flow in the enclosure is created by a horizontal temperature difference between the vertical left hot wall and the right cold wall under the Boussinesq approximation. The dimensionless equations of steady laminar natural convection flow for Newtonian and incompressible mixture are discretized using the finite volume method. The effective thermal conductivity and viscosity of the hybrid nanofluid are calculated using Corcione correlations taking into consideration the Brownian motion of nanoparticles. Numerical solutions were performed for different values of the nanoparticles volumic concentration, Hartmann number, Rayleigh number, radius ratio, and solid–fluid thermal conductivity ratio. The analyzed results show that inserting a hollow conducting cylinder plays an important role in controlling flow characteristic and heat transfer rate as well as irreversibilities within the cavity.

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Abbreviations

B0 :

Magnetic field (N/A m2)

Be:

Bejan number

C p :

Heat capacitance (J kg−1 K−1)

g :

Gravity (m s−2)

H:

Enclosure height (m)

Ha:

Hartmann number

k b :

Boltzmann’s constant, 1.380648 × 10−23 (J K−1)

N:

Undulation number

Nu:

Nusselt number

p :

Pressure (Nm−2)

P :

Dimensionless pressure

Pr:

Prandtl number

r :

Base circular radius of the block (m)

Ra:

Rayleigh number

S :

Dimensionless entropy

s :

Dimensional entropy (J K−1)

T :

Dimension temperature (K)

T fr :

Freezing point of the base liquid (K)

u, v :

Dimensional velocity components along x and y directions (m s−1)

U, V :

Non-dimensional velocity components along with x and y directions

x, y :

Cartesian coordinates (m)

X, Y :

Non-dimensional coordinates

α :

Thermal diffusivity (m2 s−1)

β :

Thermal expansion coefficient (K−1)

λ r :

Thermal conductivity ratio (λs/λf)

λ :

Thermal conductivity (W m−1K−1)

μ :

Dynamic viscosity, kg m−1 s

υ :

Kinematic viscosity (m2 s−1)

ρ :

Density (kg m−3)

ϕ :

Volume fraction of the nanoparticles

θ :

Non-dimensional temperature

ψ :

Non-dimensional stream function

σ :

Electrical conductivity (1 Ω−1 m)

c:

Cold

h:

Hot

hnf:

Hybrid nanofluid

f:

Fluid

p:

Solid particles

s:

Solid block

hp:

Hybrid solid particles

avg:

Average

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Authors and Affiliations

  1. Faculty of Sciences and Technology, Mohamed El Bachir El Ibrahimi University, Bordj Bou Arreridj, 34030, El-Anasser, Algeria

    Tahar Tayebi

  2. Energy Physics Laboratory, Department of Physics, Faculty of Exact Sciences, Mentouri Brothers Constantine1 University, 25000, Constantine, Algeria

    Tahar Tayebi

  3. Mechanical Engineering Department, Prince Mohammad Endowment for Nanoscience and Technology, Prince Mohammad Bin Fahd University, Al-Khobar, 31952, Saudi Arabia

    Ali J. Chamkha

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  1. Tahar Tayebi
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  2. Ali J. Chamkha
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Correspondence to Tahar Tayebi.

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Tayebi, T., Chamkha, A.J. Entropy generation analysis due to MHD natural convection flow in a cavity occupied with hybrid nanofluid and equipped with a conducting hollow cylinder. J Therm Anal Calorim 139, 2165–2179 (2020). https://doi.org/10.1007/s10973-019-08651-5

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