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MHD Mixed Convection and Entropy Analysis of Non-Newtonian Hybrid Nanofluid in a Novel Wavy Elbow-Shaped Cavity with a Quarter Circle Hot Block and a Rotating Cylinder

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Abstract

In this paper, the Magneto hydrodynamics (MHD) mixed convection and entropy analysis by introducing a power law hybrid nanofluid in a wavy elbow-shaped cavity with a quarter circle hot block and a rotating cylinder is studied numerically. A Galerkin finite element method (GFEM) is employed to study a rotating adiabatic cylinder, which is surrounded by an elbow-shape cavity. This cavity is bounded to a wavy wall, which is placed at the top. All walls are isothermal except one horizontal wall which is set to be at a cold condition. The heat source is located in the lower corner of this specific geometry. To investigate the thermal and hydrodynamics behavior of such specific cavity the Nusselt (Nu) numbers are compared. Moreover, a comparison is devoted for different aspect ratios, the Hartmann number, the nanofluid volume fraction and the power law index for the elbow-shaped cavity. Results proved that the Nu number increases via increasing the power law index. It is also inferred that the clockwise rotation, enhanced the heat transfer rate. In addition, it is depicted that by increasing the aspect ratio (AR) the heat transfer rate increases. Also, the entropy generation is fully investigated for the current geometry for the above-mentioned parameters.

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Abbreviations

AR:

Aspect ratio

B :

Magnetic field

c p :

Specific heat

g :

Gravity

k e :

Thermal conductivity (effective)

n :

Power-law

Nu:

Nusselt number (local)

p :

Pressure (dimensional)

P :

Pressure (dimensionless)

Pr :

Prandtl number

Ri :

Richardson number

T :

Temperature (dimensional)

u :

X-coordinate velocity (dimensional)

v :

Y-coordinate velocity(dimensional)

x :

Horizontal coordinate (dimensional)

y :

vertical coordinate (dimensional)

α e :

Thermal diffusivity (effective)

θ :

Temperature (dimensionless)

ρ :

Fluid density

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Authors and Affiliations

  1. Department of Mathematics, CUST, Islamabad, Pakistan

    S. Hussain

  2. Lehrstuhl III, Technische Universität Dortmund, Dortmund, Germany

    S. Hussain

  3. Department of Mechanical Engineering, Faculty of Engineering, Shahid Bahonar University of Kerman, Kerman, Iran

    M.S. Pour

  4. Department of Math. & Stat., PMAS-Arid Agriculture University, Rawalpindi, Pakistan

    M. Jamal

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

    T. Armaghani

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  1. S. Hussain
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Correspondence to T. Armaghani.

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Hussain, S., Pour, M., Jamal, M. et al. MHD Mixed Convection and Entropy Analysis of Non-Newtonian Hybrid Nanofluid in a Novel Wavy Elbow-Shaped Cavity with a Quarter Circle Hot Block and a Rotating Cylinder. Exp Tech 47, 17–36 (2023). https://doi.org/10.1007/s40799-022-00549-6

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