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Journal of Thermal Analysis and Calorimetry

, Volume 135, Issue 1, pp 813–859 | Cite as

Mixed convection inside lid-driven cavities filled with nanofluids

A comprehensive review
  • Mohammad Hemmat EsfeEmail author
  • Seyfolah Saedodin
  • Emad Hasani Malekshah
  • Alireza Babaie
  • Hadi Rostamian
Article

Abstract

The mixed convection phenomenon inside the enclosures included by moving wall has many applications in industries. This article presents a detailed review on the mixed convection phenomenon in various cavities with different shapes, boundary conditions and mainly nanofluid-filled which have practical applications. The mathematical formulation of the governing equations of mixed convection for fluid media is presented. Different trendy computation methods and related algorithms are obtained. The reported results by the researchers for fluid flow and heat transfer in different geometry configurations such as square, rectangular, triangular and trapezoidal and different governing parameters such as Rayleigh number, Hartmann number, Richardson number and solid volume fraction are presented comprehensively. Also, influences of physical boundary conditions such as moving walls, inclination angles and external magnetic force are discussed. The conventional and modern nanofluids used in mixed convection are introduced briefly. Today and mostly in the future, the importance of energy conversion is increasing due to the need of renewable energy. Due to practical role of mixed convection in different components of energy systems, suitable design of related components is important and may be accessible with having enough knowledge.

Keywords

Nanofluid Heat transfer Cavity Lid-driven Mixed convection 

List of symbols

A

Amplitude

Ar

Aspect ratio

B

Length of the heat source

Be

Bejan number

D

Distance between the left wall and center of the heat source

\(d_{\text{P}}\)

Nanoparticle diameter (nm)

Da

Darcy number

Gr

Grashof number

h

Enclosure height

Ha

Hartmann number

k

Thermal conductivity (W/m K)

Le

Lewis number

MEMS

Microelectronic mobile systems

n

Power-law index

Nb

Brownian motion parameter

Nr

Buoyancy ratio

Nt

Thermophoresis number

Nu

Nusselt number

\(\overline{Nu}\)

Average Nusselt number

Pr

Prandtl number

Ra

Rayleigh number

RaI

Internal Rayleigh number

Re

Reynolds number

Ri

Richardson number

Greek symbols

θ

Enclosure inclination angle (°)

φ

Dimensional nanoparticle volumetric fraction

γ

Magnetic field inclination angle (°)

λ

Moving parameter

Λ

Phase angle

Ω

Non-dimensional rotational velocity of cylinder

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Copyright information

© Akadémiai Kiadó, Budapest, Hungary 2018

Authors and Affiliations

  • Mohammad Hemmat Esfe
    • 1
    Email author
  • Seyfolah Saedodin
    • 2
  • Emad Hasani Malekshah
    • 1
  • Alireza Babaie
    • 2
  • Hadi Rostamian
    • 3
  1. 1.Department of Mechanical EngineeringImam Hossein UniversityTehranIran
  2. 2.Faculty of Mechanical EngineeringSemnan UniversitySemnanIran
  3. 3.School of EngineeringDamghan UniversityDamghanIran

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