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Conjugate natural convection of non-Newtonian hybrid nanofluid in wavy-shaped enclosure

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Abstract

The present study concerns the modelization and numerical simulation for the heat and flow exchange characteristics in a novel configuration saturated with a non-Newtonian Ag-MgO hybrid nanofluid. The wavy shaped enclosure is equipped with one-quarter of a conducting solid cylinder. The system of equations resulting from the mathematical modeling of the physical problem in its dimensionless form is discretized via the higher-order Galerkin-based finite element method (GFEM). The dependency of various factors and their interrelationships affecting the hydro-thermal behavior and heat exchange rate are delineated. The numerical experiments reveal that the best heat transfer rate is achieved for the pseudo-plastic hybrid nanoliquid with high Rayleigh number and thermal conductivity ratio and low Hartmann number. Besides, the power-law index has a major effect in deteriorating the heat convection at high Rayleigh number.

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Abbreviations

A :

amplitude

c p :

specific heat

A R :

aspect ratio

n :

power-law index

k :

thermal conductivity

N :

undulation number

K r :

thermal conductivity ratio

H :

total length of the cavity, m

Nu, Nu avg :

local, average Nusselt numbers

Ra :

Rayleigh number

Pr :

Prandtl number

Ha :

Hartmann number

P :

dimensionless pressure

T :

temperature, °C

U,V :

non-dimensional velocities in the X- and Y-directions

X,Y :

non-dimensional coordinates

m :

consistency coefficient

T* :

transpose.

θ :

non-dimensional temperature

ϕ :

volume fraction of hybrid nanoparticles

α :

thermal diffusivity, m2 · s−1

τ :

stress tensor

ρ :

density of fluid, kg · m−3

μ :

dynamic viscosity

ν :

kinematic viscosity.

c:

cold

avg:

average

e:

effective

hnf:

hybrid nanofluid

f:

fluid

h:

hot

s:

solid.

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Author information

Authors and Affiliations

  1. Department of Mathematics, Capital University of Science and Technology, Islamabad, 44000, Pakistan

    S. Hussain

  2. Lehrstuhl III, Department of Mathematics, Technical University of Dortmund, Dortmund, 44227, Germany

    S. Hussain

  3. Faculty of Sciences and Technology, University of Bordj Bou Arreridj, El-Anasser, 34030, Algeria

    T. Tayebi

  4. Department of Engineering, West Tehran Branch, Islamic Azad University, Tehran, 11365, Iran

    T. Armaghani

  5. Department of Mathematics, Aswan University, Faculty of Science, Aswan, 81528, Egypt

    A. M. Rashad

  6. Department of Mathematics, College of Science and Humanities in Al-Kharj, Prince Sattam Bin Abdulaziz University, Al-Kharj, 11942, Saudi Arabia

    H. A. Nabwey

  7. Department of Basic Engineering Science, Faculty of Engineering, Menoufia University, Shebin El-Kom, 32511, Egypt

    H. A. Nabwey

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  1. S. Hussain
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  2. T. Tayebi
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Correspondence to S. Hussain.

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Citation: HUSSAIN, S., TAYEBI, T., ARMAGHANI, T., RASHAD, A. M., and NABWEY, H. A. Conjugate natural convection of non-Newtonian hybrid nanofluid in wavy-shaped enclosure. Applied Mathematics and Mechanics (English Edition), 43(3), 447–466 (2022) https://doi.org/10.1007/s10483-022-2837-6

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Hussain, S., Tayebi, T., Armaghani, T. et al. Conjugate natural convection of non-Newtonian hybrid nanofluid in wavy-shaped enclosure. Appl. Math. Mech.-Engl. Ed. 43, 447–466 (2022). https://doi.org/10.1007/s10483-022-2837-6

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  • DOI: https://doi.org/10.1007/s10483-022-2837-6

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