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Journal of Thermal Analysis and Calorimetry

, Volume 138, Issue 5, pp 3089–3108 | Cite as

Effect of magnetohydrodynamics on heat transfer intensification and entropy generation of nanofluid flow inside two interacting open rectangular cavities

  • B. FersadouEmail author
  • H. Kahalerras
  • W. Nessab
  • D. Hammoudi
Article
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Abstract

MHD mixed convection heat transfer and entropy generation analysis for Cu–water nanofluid inside two interacting open cavities are numerically investigated. The right and the left walls of each cavity are heated or cooled at uniform but different heat flux densities. The nanofluid flow is described by the Buongiorno model in order to take into account the thermophoresis effect and the Brownian motion. The governing equations are solved using the finite volume method with the SIMPLE algorithm. The effects of relevant parameters including the Hartmann number (Ha), the Richardson number (Ri), the opening ratio (R), the heat flux ratio (Rq) and the nanoparticles volume fraction (ϕi) are analyzed. The results show that the flow pattern resulting from the simultaneous action of the magnetic field and the buoyancy force is heightened by the decrease in Ha and R and the increase in Ri and Rq. The heat transfer, which evolves in a non-monotonous way with the Hartmann number, is enhanced by the rise of the Richardson number, the heat flux ratio and the nanoparticles volume fraction, as well as by the reduction in the opening ratio. It is also observed that, overall, the thermodynamic disorder is dominated by the thermal irreversibility which decreases at high Ha with the augmentations of Ri and ϕi and the reductions in R and Rq.

Keywords

MHD Mixed convection Entropy generation Nanofluid Open cavities 

List of symbols

B0

Magnetic induction (T)

Cp

Specific heat at constant pressure (J kg−1 K−1)

d

Cavity opening width

df

Molecule diameter of the base fluid (m)

dp

Nanoparticle diameter (m)

DB

Brownian diffusion coefficient (m2 s−1)

DT

Thermophoretic diffusion coefficient (m2 s−1 K−1)

Ec

Eckert number

g

Gravitational acceleration (m s−2)

H

Channel width (m)

Ha

Hartmann number

k

Thermal conductivity (W m−1 K−1)

kB

Boltzmann’s constant (J K−1)

ℓ

Channel length (m)

Le

Lewis number

NB

Brownian motion parameter

Ns

Entropy generation number

NT

Thermophoresis parameter

Nu

Nusselt number

p

Pressure (Pa)

Pr

Prandtl number

q

Heat flux density (W m−2)

R

Opening ratio

Re

Reynolds number

Ri

Richardson number

Rq

Heat flux ratio

s

Source width

S

Total entropy generation

\(S^{{{\prime \prime \prime }}}\)

Local entropy generation (W m−3 K−1)

T

Temperature (K)

Tfr

Freezing point of the base fluid (K)

u

Axial velocity (m s−1)

v

Transverse velocity (m s−1)

w

Adiabatic zone width (m)

x

Axial coordinate (m)

y

Transverse coordinate (m)

Greek symbols

α

Irreversibility ratio

β

Thermal expansion coefficient (K−1)

θ

Dimensionless temperature

μ

Viscosity (kg m−1 s−1)

ρ

Density (kg m−3)

ϑ

Channel volume (m3)

ϕ

Nanoparticles volume fraction

δ

Irreversibility coefficient

Subscripts

c

Cooled

f

Base fluid

Frt

Fluid friction

h

Heated

i

Inlet

m

Mean

Mag

Hydromagnetic

nf

Nanofluid

p

Nanoparticles

Th

Thermal

W

Wall

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Notes

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Copyright information

© Akadémiai Kiadó, Budapest, Hungary 2019

Authors and Affiliations

  • B. Fersadou
    • 1
    Email author
  • H. Kahalerras
    • 1
  • W. Nessab
    • 1
  • D. Hammoudi
    • 1
  1. 1.Laboratory of Multiphase Transport and Porous Media (LTPMP), Faculty of Mechanical and Process Engineering (FGMGP)University of Sciences and Technology Houari Boumediene (USTHB)Bab Ezzouar, AlgiersAlgeria

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