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Finite volume simulation for convective heat transfer in wavy channels

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Abstract

The convective heat transfer characteristics for a periodic wavy channel have been investigated experimentally and numerically. Finite volume method was used in numerical study. Experiment results are used for validation the numerical results. Studies were conducted for air flow conditions where contact angle is 30°, and uniform heat flux 616 W/m2 is applied as the thermal boundary conditions. Reynolds number (Re) is varied from 2000 to 11,000 and Prandtl number (Pr) is taken 0.7. Nusselt number (Nu), Colburn factor (j), friction factor (f) and goodness factor (j/f) against Reynolds number have been studied. The effects of the wave geometry and minimum channel height have been discussed. Thus, the best performance of flow and heat transfer characterization was determined through wavy channels. Additionally, it was determined that the computed values of convective heat transfer coefficients are in good correlation with experimental results for the converging diverging channel. Therefore, numerical results can be used for these channel geometries instead of experimental results.

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Abbreviations

C μ :

Turbulence model constant

C 1ɛ :

Turbulence model constant

C 2ɛ :

Turbulence model constant

D h :

Hydraulic diameter (m)

f :

Friction factor

H :

Channel height (m)

h :

Cycle average heat transfer coefficient (W/m2 K)

h x :

Axially local heat transfer coefficient (W/m2 K)

k :

Thermal conductivity (W/m K); turbulent kinetic energy (m2/s2)

L :

Length (m)

Nu :

Nusselt number

P :

Pressure (Pa)

Pr :

Prandtl number

Pr t :

Turbulent Prandtl number

Re :

Reynolds number

S :

Pitch (axial length of cycle) (m)

T :

Temperature (K)

u i :

Velocity components (m/s)

\( u_{i}^{{\prime }} \) :

Fluctuation velocity components (m/s)

V :

Mean velocity (m/s)

X :

Axial coordinate (m)

x i :

Global coordinates

ɛ :

Turbulent dissipation rate (m2/s3)

θ :

Contact angle (°)

λ :

Phase shift between side walls (°)

μ :

Dynamic viscosity (kg/m s)

μ t :

Turbulent viscosity (kg/m s)

ρ :

Density (kg/m3)

σ ɛ :

Diffusion Prandtl number for ɛ

σ k :

Diffusion Prandtl number for k

b:

Fluid bulk

min:

Minimum

max:

Maximum

w:

Wall

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Authors and Affiliations

  1. Mechanical Engineering Department, Istanbul University, Avcilar, Istanbul, Turkey

    Erman Aslan

  2. Mechanical Engineering Department, Sakarya University, Esentepe, Adapazari, Turkey

    Imdat Taymaz & Yasar Islamoglu

Authors
  1. Erman Aslan
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  2. Imdat Taymaz
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  3. Yasar Islamoglu
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Correspondence to Imdat Taymaz.

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Aslan, E., Taymaz, I. & Islamoglu, Y. Finite volume simulation for convective heat transfer in wavy channels. Heat Mass Transfer 52, 483–497 (2016). https://doi.org/10.1007/s00231-015-1571-x

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