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Numerical analysis of mixed convection of two-phase non-Newtonian nanofluid flow inside a partially porous square enclosure with a rotating cylinder

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Abstract

In this study, mixed convection heat transfer of the non-Newtonian power-law nanofluid including CuO nanoparticles, inside a partially porous square enclosure with a concentric rotating cylinder and a hot side wall is numerically investigated. Two-phase mixture model is utilized for nanofluid flow simulation and the mixture viscosity and thermal conductivity are computed by Corcione’s correlation. The effect of different angular velocity (− 4000 ≤ Ω ≤ 4000) for various Rayleigh (104 ≤ Ra ≤ 106), Darcy (10−4 ≤ Da ≤ 10−1), power-law index (0.8 ≤ n ≥ 1.2) and effective to base fluid thermal conductivity ratio (keff/kf= 16, 4) are studied on heat transfer. Results are presented and compared in terms of the average Nusselt number, and streamline and isotherm contours. Outcomes show that for different kinds of fluid, depending on the value of Ra, Da, keff/kf and the amount and direction of angular velocity, heat transfer can be improved by augmenting heat convection and also can be deteriorated by increasing viscosity. Consequently, optimal values of Ra, Da, keff/kf and Ω exist in order to maximize the average Nu number.

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Abbreviations

C :

Consistency index (Nsn m−2)

C p :

Specific heat (J kg−1 K−1)

d p :

Diameter of the nanoparticle (m)

Da :

Darcy number

D ij :

Rate of deformation tensor

f drag :

Drag friction

g :

Gravitational acceleration (ms−2)

Κ :

Permeability of porous medium (m2)

k :

Thermal conductivity (W m−1 K−1)

k b :

Boltzmann constant (J K−1)

n :

Power-law index

Nu :

Nusselt number

P :

Pressure (Pa)

Pr :

Prandtl number

Ra :

Rayleigh number

Re :

Reynolds number

S gen,T :

Thermal entropy generation rate (W m−3 K−1)

T 0 :

Bulk temperature (K)

avg:

Average

c:

Cold

dr:

Drift

f:

Base fluid

h:

Hot

m:

Mixture(nanofluid)

p:

Nanoparticle

s:

Solid medium

tot:

Total

μ :

Dynamic viscosity (kg m−1s−1)

ρ :

Density (kg m−3)

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Author information

Authors and Affiliations

  1. Applied Multi-Phase Fluid Dynamics Lab., School of Mechanical Engineering, Iran University of Science and Technology, Narmak, Tehran, 1684613114, Iran

    Majid Siavashi & Kimia Karimi

  2. IT Innovation Center, General Motors, Warren, MI, 48092, USA

    Qingang Xiong

  3. Department of Civil and Environmental Engineering, 6-361 Donadeo Innovation Centre for Engineering, School of Mining and Petroleum Engineering, University of Alberta, 9211 116 Street, Edmonton, AB, T6G 1H9, Canada

    Mohammad Hossein Doranehgard

Authors
  1. Majid Siavashi
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  2. Kimia Karimi
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Correspondence to Qingang Xiong or Mohammad Hossein Doranehgard.

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Siavashi, M., Karimi, K., Xiong, Q. et al. Numerical analysis of mixed convection of two-phase non-Newtonian nanofluid flow inside a partially porous square enclosure with a rotating cylinder. J Therm Anal Calorim 137, 267–287 (2019). https://doi.org/10.1007/s10973-018-7945-9

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  • DOI: https://doi.org/10.1007/s10973-018-7945-9

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