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Nanofluid heat transfer and entropy generation inside a triangular duct equipped with delta winglet vortex generators

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Abstract

This paper presents the results of a numerical study on the thermal–hydraulic and entropy generation analysis for a nanofluid flow inside a plate-fin triangular duct. Vortex generators are placed in the duct to improve the heat transfer rate and fluid mixing. Reynolds number (Re), volume fraction of nanoparticles (α) and vortex generators’ angle of attack (θ) are selected as the pertinent parameters. All simulations are performed for the following range of parameters: 200 < Re < 1000; 0<α < 0.05 and 0 < θ< 50. The results are presented for the dimensionless pressure drop, Nusselt number and entropy generations (friction and thermal entropy generations). Results indicate that for θ < 40°, the thermal entropy generation reduces by increasing θ, while for θ > 40°, increasing θ leads to an increase in the thermal entropy generation. Moreover, the friction entropy generation was found to increase by 8% when the angle of attack is increased from 0 to 40°.

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Abbreviations

Be :

Bejan number (−)

\( C_{p} \) :

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

D h :

Hydraulic diameter (m)

d :

Half of distance between the leading tips of VGs (m)

f :

Friction factor (−)

H :

Height of channel (m)

h :

Height of VGs (m)

\( h_{x} \) :

Local heat transfer coefficient (W m−2 K−1)

\( k \) :

Thermal conductivity (W m−1 K−1)

L :

Length of channel (m)

l :

Length of VGs (m)

Nu :

Nusselt number (−)

N :

Non-dimensional entropy generation (−)

\( p \) :

Pressure (Pa)

Pe :

Peclet number (−)

\( q^{{{\prime \prime }}} \) :

Heat flux (W/m2)

Re :

Reynolds number (−)

\( S_{g}^{{{\prime \prime \prime }}} \) :

Entropy generation rate (W m−3 K−1)

s :

Distance from the leading edge of duct and VG (m)

\( T \) :

Temperature (K)

t :

Thickness of VGs (m)

\( u,\;v,_{{}} w \) :

Velocity component in x and y directions, respectively (ms−1)

W :

Channel width (m)

x,y, z :

Rectangular coordinates components (m)

θ :

VG’s angle of attack (degree)

α :

Volume fraction of nanoparticles (-)

\( \mu \) :

Dynamic viscosity (kg m−1 s−1)

\( \rho \) :

Density of the fluid (kg m−3)

\( \forall \) :

Volume of the domain (m3)

ave:

Average

ref:

Reference

eff:

Effective

in:

Inlet

out:

Outlet

x:

Local

VG:

Vortex generator

w:

Wall

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Authors and Affiliations

  1. Department of Mechanical Engineering, Ferdowsi University of Mashhad, Mashhad, 91775-1111, Iran

    Bijan Darbari & Saman Rashidi

  2. School of Mechanical, Aerospace and Civil Engineering, The University of Manchester, Manchester, UK

    Amir Keshmiri

Authors
  1. Bijan Darbari
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  2. Saman Rashidi
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  3. Amir Keshmiri
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Correspondence to Amir Keshmiri.

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Darbari, B., Rashidi, S. & Keshmiri, A. Nanofluid heat transfer and entropy generation inside a triangular duct equipped with delta winglet vortex generators. J Therm Anal Calorim 140, 1045–1055 (2020). https://doi.org/10.1007/s10973-019-08382-7

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