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Magnetohydrodynamics Natural Convection of a Triangular Cavity Involving Ag-MgO/Water Hybrid Nanofluid and Provided with Rotating Circular Barrier and a Quarter Circular Porous Medium at its Right-Angled Corner

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Abstract

The current paper studied the behavior of a triangular cavity occupied with Ag-MgO/water nanofluid under MHD natural convection and provided with a rotating circular barrier, while the right-angled corner is equipped with quarter-circle porous medium and maintained at a fixed hot temperature Th. Several parameters are tested such as Rayleigh number (103 ≤ Ra ≤ 106), Hartmann number (0 ≤ Ha ≤ 80) and Darcy number (10−5 ≤ Da ≤ 0.15). The obtained results depict the enhancing effect of Ra and the controlling role of the magnetic parameter on heat transport. Increasing the characteristics of the porous media such as the porosity and the permeability showed a substantial impact on the heat transport efficiency within the enclosure. Moreover, the novelty findings in this paper are principally illustrated in the boosting impact of raising the porous medium thickness when it is associated with the growing up of the heated parts of the geometry by increasing the dimension of the radius (rp). Also, the rotational velocity (ω) and the radius (rob) of the circular obstacle are tested and showed an important influence on the energy transport within the cavity. Moreover, the obtained results by modifying the length (a) prove its pertinent influence on the heat transfer performance.

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Abbreviations

k :

Thermal conductivity (W/m k)

L :

Dimension of the cavity (m)

r ob :

Radius of cylinder (m)

R p :

Radius of porous media (m)

a :

Length (m)

Ra:

Rayleigh number

Ha:

Hartmann number

Nu:

Nusselt number

Nuave :

Average Nusselt number

Nuloc :

Local Nusselt number

Pr:

Prandtl number

Da:

Darcy number

x, y :

Coordinate (m)

X, Y :

Dimensionless coordinate

u, v :

Velocity components (m/s)

U, V :

Non-dimensional velocity components

T :

Temperature (°C)

p :

Pressure (N/m2)

P :

Dimensionless pressure

K :

Permeability

g :

Gravitational acceleration vector (m/s2)

F c :

Forchheimer coefficient

B 0 :

Intensity of magnetic field

θ :

Dimensionless temperature

ε :

Porosity

α :

Thermal diffusivity (m2/s)

ν :

Kinematic viscosity (m2/s)

ϕ :

Volume fraction

β :

Thermal expansion coefficient (1/K)

μ :

Dynamic viscosity (kg/m s)

ρ :

Density (kg/m3)

σ :

Electrical conductivity (Ω m)−1

Ψ :

Non-dimensional stream function

bf :

Base fluid

hnf :

Hybrid nanofluid

np :

Nanoparticles

ave:

Average

loc:

Local

h :

Hot

c :

Cold

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Authors and Affiliations

  1. LGIDD, Ahmed ZABANA University, 48000, Relizane, Algeria

    Belhadj Mahammed Amine, Fares Redouane & Lounis Mourad

  2. Department of Mathematics, Capital University of Science and Technology (CUST), Islamabad, 44000, Pakistan

    Wasim Jamshed

  3. Department of Mathematics, Faculty of Science, New Valley University, Al-Kharga, Al-Wadi Al-Gadid, 72511, Egypt

    Mohamed R. Eid

  4. Department of Mathematics, Faculty of Science, Northern Border University, Arar, 1321, Saudi Arabia

    Mohamed R. Eid

  5. Mechanical and Maintenance Engineering Department, German Jordanian University, Amman, Jordan

    Wael Al-Kouz

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  1. Belhadj Mahammed Amine
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  2. Fares Redouane
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  4. Wasim Jamshed
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Correspondence to Fares Redouane.

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Amine, B.M., Redouane, F., Mourad, L. et al. Magnetohydrodynamics Natural Convection of a Triangular Cavity Involving Ag-MgO/Water Hybrid Nanofluid and Provided with Rotating Circular Barrier and a Quarter Circular Porous Medium at its Right-Angled Corner. Arab J Sci Eng 46, 12573–12597 (2021). https://doi.org/10.1007/s13369-021-06015-6

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