Abstract
The present work represents a two-dimensional numerical prediction of forced turbulent flow heat transfer through a grooved tube. Four geometric groove shapes (circular, rectangular, trapezoidal and triangular) were selected to perform the study, as well as two aspect ratios of groove-depth to tube diameter (e/D = 0.1 and 0.2). The study focuses on the influence of the geometrical shapes of grooves and groove-depth on heat transfer and fluid flow characteristics for Reynolds number ranging from 10,000 to 20,000. The characteristics of Nusselt number, friction factor and entropy generation are studied numerically by the aid of the computational fluid dynamics (CFD) commercial code of FLUENT. It is observed that the best performance occurs with the lower depth-groove ratio, whereas it is found that the grooved tube provides a considerable increase in heat transfer at about 64.4 % over the smooth tube and a maximum gain of 1.52 on thermal performance factor is obtained for the triangular groove with (e/D = 0.1).
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Abbreviations
- B :
-
Groove width, m
- C μ :
-
Turbulence model constant
- D :
-
Tube diameter, m
- D h :
-
Hydraulic diameter, (= D), m
- e :
-
Groove depth, m
- f :
-
Friction factor
- G k :
-
TKE generation rate
- h :
-
Heat transfer coefficient, W/m2 K
- k :
-
Turbulent kinetic energy
- k f :
-
Thermal conductivity of fluid, W/m K
- L :
-
Length of test tube, m
- \( \dot{m} \) :
-
Mass flow rate, kg/s
- Nu :
-
Nusselt number
- P :
-
Pressure, Pa
- Pr :
-
Prandtl number
- q′ :
-
Heat transfer rate per tube length, W/m
- q″ :
-
Heat flux, W/m2
- Re :
-
Reynolds number, Re = ρu D h/μ
- s :
-
Entropy, kJ/kg K
- S :
-
Groove pitch, m
- T :
-
Temperature, K
- u :
-
Mean velocity, m/s
- \( u^{\prime }_{ij} \) :
-
Fluctuation velocity components, m/s
- Γ :
-
Thermal diffusivity
- ε :
-
Turbulent dissipation rate, m2/s3
- η :
-
Thermal enhancement factor
- μ :
-
Viscosity, kg/m s
- μ t :
-
Eddy viscosity, kg/m s
- ρ :
-
Density, kg/m3
- τ ij :
-
Reynolds stress, m2/s2
- τ w :
-
Wall shear stress, Pa
- ω :
-
Turbulent specific dissipation rate, 1/s
- b:
-
Bulk
- gen:
-
Generation
- in:
-
Inlet
- loc:
-
Local
- s:
-
Smooth
- t:
-
Turbulent
- w:
-
Wall
- TKE:
-
Turbulence Kinetic Energy
- CrGT:
-
Circular shape groove
- RcGT:
-
Rectangular shape groove
- TgGT:
-
Triangular shape groove
- TzGT:
-
Trapzoidual shape groove
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Ramadhan, A.A., Al Anii, Y.T. & Shareef, A.J. Groove geometry effects on turbulent heat transfer and fluid flow. Heat Mass Transfer 49, 185–195 (2013). https://doi.org/10.1007/s00231-012-1076-9
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DOI: https://doi.org/10.1007/s00231-012-1076-9