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Numerical investigation to predict optimum attack angle combination of longitudinal vortex generators in compact heat exchangers for thermo-hydraulic heightened performance

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Abstract

The current 3-D numerical analysis explores the effect of combinations of rectangular winglet pairs (RWPs) having different attack angles (i.e. 5°, 15° and 25°) along a row of the tube array, on the performance of the fin and tube heat exchanger (FTHE). The considered airside Reynolds number Re ranges from 500 to 900. In total, six combinations of three attack angle vortex generators (VGs) have been numerically analysed namely 5°-15°-25°, 5°-25°-15°, 15°-5°-25°, 15°-25°-5°, 25°-5°-15° and 25°-15°-5°. The performance of the FTHE is represented by area goodness factor. The performance rankings of the FTHEs are also obtained by the MOORA method. Finally, 5°-25°-15° case provides the best thermal hydraulic performance for which heat transfer coefficient (h) is increased by 68.20% at Re = 500 and 81.78% at Re = 900, with a significant pressure drop penalty.

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Abbreviations

A T :

total heat transfer surface area (m2)

A min :

minimum flow area (m2)

c p :

specific heat (J kg−1 K−1)

D :

outer tube diameter (m)

D h :

hydraulic diameter, Dh = 4AminL/AT

f :

friction factor

F p :

fin pitch (m)

F t :

fin thickness (m)

h :

air-side heat transfer coefficient (W m−2 K−1)

H :

channel height (m)

H w :

winglet height (m)

j :

Colburn j-factor

L :

flow length (m)

m :

mass flow rate (kg/s)

Nu :

average Nusselt number

p :

pressure (Pa)

P f :

fan power (W)

Pr :

Prandtl number

P l :

longitudinal tube pitch (m)

P s :

span wise tube pitch (m)

Q :

heat transfer capacity (W)

Re :

air side Reynolds number

St :

Stanton number

T :

temperature (K)

T out :

outlet temperature (K)

T w :

wall temperature (K)

\( \bar{T} \) :

bulk average temperature (K)

T in :

inlet temperature (K)

∆T m :

mean value of temperature

\( \bar{p} \) :

bulk average pressure (Pa)

∆p :

air side pressure drop (Pa)

U :

free stream velocity (ms−1)

u :

velocity in x-direction (ms−1)

v :

velocity in y-direction (ms−1)

V m :

mean velocity at Amin (m s−1)

w :

velocity in z-direction (m s−1)

μ :

dynamic viscosity (Pa.S)

ρ :

density (kg m−3)

λ :

thermal conductivity (W m−1K−1)

η f :

fan efficiency

FTHE:

finned tube heat exchanger

MOORA:

multi-objective optimization on the basis of ratio analysis

RWP:

rectangular winglet pair

LVG:

longitudinal vortex generators

CFD:

common flow down

CFU:

common flow up

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Zeeshan, M., Nath, S. & Bhanja, D. Numerical investigation to predict optimum attack angle combination of longitudinal vortex generators in compact heat exchangers for thermo-hydraulic heightened performance. Sādhanā 44, 241 (2019). https://doi.org/10.1007/s12046-019-1219-5

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  • DOI: https://doi.org/10.1007/s12046-019-1219-5

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