Abstract
This study is a numerical investigation of the effect of improving heat transfer namely, modified rough (dimples and protrusions) surfaces on the mixed convective heat transfer of a turbulent flow in a horizontal tube. The effects of different dimples-protrusions arrangements on the improving the thermal performance of a rough tube are investigated at various Richardson numbers. Three dimensional governing equations are discretized by the finite-volume technique. Based on the obtained results the dimples-protrusions arrangements are modified to find a suitable configuration for which heat transfer coefficient and pressure drop to be balanced. Modified dimples-protrusions arrangements that shows higher performance is presented. Its average thermal performance 18% and 11% is higher than the other arrangements. In addition, the results show that roughening a smooth tube is more effective at the higher Richardson number.
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Abbreviations
- A(m2):
-
Surface of heat transfer
- C1ε,C2ε :
-
constants
- Cp(J/kg. k):
-
Specific heat
- D(m):
-
Tube diameter
- e/D:
-
Dimensionless height of the roughs
- \( f=\frac{\Delta p}{\frac{{\rho V}^2}{2}\left(\frac{L}{D}\right)} \) :
-
Friction factor.
- g(m/s2):
-
Gravitational acceleration
- h(W/m2. K):
-
Heat transfer coefficient
- k:
-
Turbulent kinetic energy
- P/D:
-
Dimensionless pitch of the roughs
- PEC:
-
Performance evaluation criteria
- \( \mathrm{Ri}=\frac{\mathrm{Gr}}{{\operatorname{Re}}^2} \) :
-
Richardson number
- S:
-
User-defined source terms
- T:
-
Temperature
- \( {\mathrm{T}}^{\ast }=\frac{{\mathrm{T}}_{\mathrm{w}}-\mathrm{T}}{{\mathrm{T}}_{\mathrm{w}}-{\mathrm{T}}_{\mathrm{i}}} \) :
-
Normalized temperature
- \( {\mathrm{X}}^{\ast }=\frac{\mathrm{r}}{\mathrm{D}} \) :
-
Normalized radius in direction of horizontal tube diameter
- \( {\mathrm{Y}}^{\ast }=\frac{\mathrm{r}}{\mathrm{D}} \) :
-
Normalized radius in direction of vertical tube diameter
- \( {\mathrm{Z}}^{\ast }=\frac{\mathrm{z}}{\mathrm{D}} \) :
-
Normalized length in axial direction
- α:
-
Thermal diffusivity
- β:
-
Volumetric expansion coefficient (K− 1)
- ε:
-
Dissipation of turbulent kinetic energy
- μ:
-
Dynamic viscosity (Nm s− 2)
- ν :
-
kinematic viscosity of the fluid, (m2/s)
- ρ:
-
fluid density (kg m−3)
- i:
-
Inlet
- b:
-
Bulk
- eff:
-
Effective
- f:
-
Fluid
- fc:
-
Forced convection
- t:
-
Turbulent
- w:
-
Wall
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Sobhani, M., Behzadmehr, A. Investigation of thermo-fluid behavior of mixed convection heat transfer of different dimples-protrusions wall patterns to heat transfer enhancement. Heat Mass Transfer 54, 3219–3229 (2018). https://doi.org/10.1007/s00231-018-2356-9
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DOI: https://doi.org/10.1007/s00231-018-2356-9