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Numerical investigation of turbulent flow within a channel with chamfered edge ribs in stream-wise direction

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Abstract

The present paper reports a numerical investigation of a forced convection water flow within a two-dimensional ribbed channel. A uniform heat flux is applied on the external walls. The flow regime is turbulent and Reynolds numbers are in the range 10·103÷100·103. Square and chamfered rib shapes with different arrangements are analyzed in terms of various dimensionless heights and pitches of elements. The investigation is accomplished by using a CFD code and its aim consists in finding of arrangements to obtain a high Performance Evaluation Criterion (PEC). Results are presented in terms of temperature and velocity fields, profiles of average Nusselt number, average heat transfer coefficients and required pumping power. Heat transfer enhancement increases with the ribs presence, but it is accompanied by an increasing pumping power. In particular, the best performances in terms of Nusselt are shown for p/e = 4 and 12 for both the square and chamfered cases. The heat transfer improves as Reynolds number raises, but a substantial increase of pumping power is also observed. The utilization of chamfered ribs allows to increase the PEC, especially at low Re. The maximum PEC is equal to 1.3 and it is obtained for Re = 104 and p/e = 4.

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Abbreviations

a :

thermal diffusivity, m2/s

cp:

specific heat, J/kg K

d:

diameter, m

e:

rib height, m

f:

friction coefficient Eq. (10)

H:

channel height, m

L:

length, m

k:

turbulent kinetic energy, m2/s2

Nu:

Nusselt number Eq. (9)

p:

rib pitch, m

P:

pressure, Pa

PEC:

performance evaluation criteria index Eq. (11)

PP:

pumping power, W

Pr:

Prandtl number

q:

heat flux, W/m2

Re:

Reynolds number Eq. (8)

s:

channel thickness, m

T:

temperature, K

T*:

dimensionless temperature, T* = T/Tbulk

u:

velocity component, m/s

W:

channel width, m

w:

rib width, m

x, y:

spatial coordinates, m

δ:

Kronecher delta function

λ:

thermal conductivity, W/mK

μ:

dynamic viscosity, Pa s

ν:

kinematic viscosity, m2/s

ρ:

density, kg/m3

σ:

turbulent Prandtl number

τ:

wall shear stress, kg/m2

ω:

rate of dissipated turbulent kinetic energy

a:

ambient

avg:

average

f:

fluid

in:

inlet section

m:

mass

out:

outlet section

s:

smooth

T:

turbulent

w:

wall

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Authors and Affiliations

  1. DIME/TEC, Division of Thermal Energy and Environmental Conditioning, University of Genoa, Via All’Opera Pia 15/A, 16145, Genoa, Italy

    Vincenzo Bianco, Walter Borreani & Guglielmo Lomonaco

  2. Ansaldo Nucleare S.p.A, Corso F.M. Perrone 25, 16152, Genoa, Italy

    Walter Borreani

  3. INFN, Via Dodecaneso 33, 16146, Genoa, Italy

    Walter Borreani & Guglielmo Lomonaco

Authors
  1. Vincenzo Bianco
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  2. Walter Borreani
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  3. Guglielmo Lomonaco
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Correspondence to Vincenzo Bianco.

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Bianco, V., Borreani, W. & Lomonaco, G. Numerical investigation of turbulent flow within a channel with chamfered edge ribs in stream-wise direction. Heat Mass Transfer 53, 3211–3223 (2017). https://doi.org/10.1007/s00231-017-2078-4

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  • DOI: https://doi.org/10.1007/s00231-017-2078-4

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