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Heat transfer enhancement in a counter-flow sinusoidal parallel-plate heat exchanger partially filled with porous media using metal foam in the channels’ divergent sections

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Abstract

This is a numerical study of heat transfer and flow in a counter-flow sinusoidal parallel-plate heat exchanger using metal foam in the channels’ divergent sections. The cold water fluid with Reynolds number of 100 and hot oil fluid with Reynolds number of 2 enter the downer and upper channels of the heat exchanger, respectively. The sinusoidal heat exchanger is investigated with two-wave amplitudes (0.3 and 0.6 cm), two wavelengths (6 and 12 cm) inserting the porous media with three particle diameters (0.1, 0.05 and 0.01 mm) and three thicknesses (A/3, 2A/3, and A). Darcy–Brinkman–Forchheimer and local thermal non-equilibrium models are used. To evaluate the increased heat transfer versus the increased pumping power, a dimensionless number called performance evaluation criteria (PEC) has been defined in the current study. The obtained results showed that the heat transfer rate, effectiveness and overall heat transfer coefficient of the heat exchanger are increased up to 19.2%, and the PEC number is enhanced to 1.171 in the optimum case with wave amplitude, wavelength, metal foam particle diameter and thickness equal to 0.6 cm, 6 cm, 0.01 mm and 2A/3, respectively. Moreover, since the metal foam is embedded in the wake region of the heat exchanger or channels’ divergent sections, its effect on pumping power is subtle, which is an advantage of using the porous medium at these regions.

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Abbreviations

A :

Wave amplitude (m)

A r :

Area (m2)

a sf :

Fluid-to-solid specific area

C :

Specific heat capacity (J kg−1 K−1)

d p :

Particle diameter (m)

Da :

Darcy number

h :

Heat transfer coefficient (W m−2 K−1)

h c :

Channel height (m)

h p :

Porous thickness (m)

h sf :

Fluid-to-solid heat transfer coefficient

K :

Permeability (m2)

k :

Thermal conductivity (W m−1 K−1)

k eff :

Effective thermal conductivity (W m−1 K−1)

k ef :

Effective thermal conductivity of porous region solid phase (W m−1 K−1)

k es :

Effective thermal conductivity of porous region fluid phase (W m−1 K−1)

k er :

Ratio of effective solid thermal conductivity to that of fluid

l :

Length of the channel (m)

Nu :

Nusselt number

Nu x :

Local Nusselt number

PEC:

Performance evaluation criteria

p :

Pressure (Pa)

Pr :

Prandtl number

q :

Heat transfer rate (W)

Re :

Reynolds number

T :

Temperature (K)

u :

x-direction velocity (m s−1)

v :

y-direction velocity (m s−1)

W p :

Pumping power

\(\theta\) :

Dimensionless temperature

\(\vartheta\) :

Cinematic viscosity (m2 s−1)

\(\mu\) :

Dynamic viscosity (kg ms−1)

\(\rho\) :

Density kg m−3

\(\varepsilon\) :

Porosity

eff:

Effective

en:

Entrance

ex:

Exit

f:

Fluid

i:

Inlet

o:

Outlet

pl:

Plain heat exchanger

s:

Solid

w:

Wall

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Authors and Affiliations

  1. Department of Mechanical Engineering, Isfahan University of Technology, Isfahan, Iran

    Hossein Arasteh

  2. Young Researchers and Elite Club, Khomeinishahr Branch, Islamic Azad University, Khomeinishahr, Iran

    Ramin Mashayekhi

  3. Department of Mechanical Engineering, Shahrekord University, Shahrekord, Iran

    Milad Ghaneifar

  4. Department of Mechanical Engineering, Khomeinishahr Branch, Islamic Azad University, Khomeinishahr, Iran

    Davood Toghraie

  5. Laboratory of Magnetism and Magnetic Materials, Advanced Institute of Materials Science, Ton Duc Thang University, Ho Chi Minh City, Vietnam

    Masoud Afrand

  6. Faculty of Applied Sciences, Ton Duc Thang University, Ho Chi Minh City, Vietnam

    Masoud Afrand

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  1. Hossein Arasteh
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Arasteh, H., Mashayekhi, R., Ghaneifar, M. et al. Heat transfer enhancement in a counter-flow sinusoidal parallel-plate heat exchanger partially filled with porous media using metal foam in the channels’ divergent sections. J Therm Anal Calorim 141, 1669–1685 (2020). https://doi.org/10.1007/s10973-019-08870-w

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  • Issue Date:

  • DOI: https://doi.org/10.1007/s10973-019-08870-w

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