Abstract
New energy system development and energy conservation require high performance heat exchanger, so the researchers are seeking to find new methods to enhance heat transfer mechanism in heat exchangers. The objectives of this study are investigating heat transfer performance and flow development in V-corrugated channels, numerical simulations were carried out for uniform wall heat flux equal 290 W/m2 using air as a working fluid, Reynolds number varies from 500 to 2,000, phase shifts, 0° < Ø < 180°, and channel heights (S = 12.5, 15.0, 17.5 and 20 mm). Governing equations of flow and energy were solved numerically by using finite volume method. The numerical results indicated that, wavy (V-corrugated) channels have a significant impact on heat transfer enhancement with increase in pressure drop though channel due to breaking and destabilizing in the thermal boundary layer are occurred as fluid flowing through the corrugated surfaces and the effect of corrugated phase shift on the heat transfer and fluid flow is more significant in narrow channel, the goodness factor (j/f) was increased with increasing channel phase shift, the best performance was noticed on phase shift, Ø = 180° and channel height, S = 12.5 mm.
Similar content being viewed by others
Abbreviations
- PRESTO:
-
Pressure staggering option
- RNG:
-
Renormalized group
- SIMPLE:
-
Semi-implicit method for pressure-linked equations
- UDF:
-
User defined function
- A:
-
Height of the wavy (mm)
- Cp :
-
Specific heat (J/kg K)
- Cε :
-
Turbulent model constant
- Cμ :
-
Turbulent model constant
- Dh :
-
Hydraulic diameter (mm)
- f :
-
Friction factor
- h:
-
Heat transfer coefficient (W/m2 K)
- I:
-
Turbulent intensity
- j:
-
Colburn factor [Nu/(Re Pr^(1/3))]
- k:
-
Thermal conductivity of the fluid (W/m K)
- L:
-
Length of the domain (mm)
- \(\dot{m}\) :
-
Mass flow rate (kg/s)
- P:
-
Wavy pitch (mm)
- p:
-
Pressure (Pa)
- Q:
-
Heat transfer rate (kW)
- q:
-
Heat flux (W/m2)
- Pr:
-
Prandtl number (Pr = Cpμ/k)
- Qin :
-
Heat input rate (W)
- Re:
-
Reynolds number (Re = ρuavDh/µ)
- S:
-
Channel spacing (mm)
- T:
-
Temperature
- u:
-
Velocity component at x-direction (m/s)
- v:
-
Velocity component at y-direction (m/s)
- w:
-
Width (mm)
- y+ :
-
Dimensionless distance from the cell center to the nearest wall
- δ:
-
Height of the base (mm)
- ε:
-
Dissipation kinetic energy (m2/s3)
- θ:
-
Wavy angle
- μ:
-
Dynamic viscosity of the fluid (Pa s)
- ρ:
-
Air density (kg/m3)
- σ:
-
Length of corrugated (mm)
- σk :
-
Diffusion Prandtl number for k
- τs :
-
Wall shear stress
- ν:
-
Kinematic viscosity of the fluid (m2/s)
- Ø:
-
Phase shift
- a:
-
Air
- av:
-
Average
- i:
-
Inlet
- m:
-
Mean value
- o:
-
Outlet
- t:
-
Total
- w:
-
Wall
References
Sadik K, Bergles E, Mayinger F, Hafit Y (1999) Heat transfer enhancement of heat exchangers. Springer, Berlin
Mohammed HA, Abed AM, Wahid MA (2013) The effects of geometrical parameters of a corrugated channel with in out-of-phase arrangement. Int Commun Heat Mass Transf 40:47–57
Elshafei EAM, Awad M, El-Negiry E, Ali AG (2008) Heat transfer and pressure loss in narrow channels with corrugated walls. In: Second international conference on thermal issues in emerging technologies, 2008, ThETA ‘08, pp 279–290
Elshafei EAM, Awad MM, El-Negiry E, Ali AG (2010) Heat transfer and pressure drop in corrugated channels. Energy 35:101–110
Ali MM, Ramadhyani S (1992) Experiments on convective heat transfer in corrugated channels. Exp Heat Transf 5:175–193
Gradeck M, Hoareau B, Lebouché M (2005) Local analysis of heat transfer inside corrugated channel. Int J Heat Mass Transf 48:1909–1915
Goldstein JL, Sparrow EM (1977) Heat/mass transfer characteristics for flow in a corrugated wall channel. J Heat Transf 99:187–195
Zhang L, Chen Z (2011) Convective heat transfer in cross-corrugated triangular ducts under uniform heat flux boundary conditions. Int J Heat Mass Transf 54:597–605
Yin J, Yang G, Li Y (2012) The effects of wavy plate phase shift on flow and heat transfer characteristics in corrugated channel. Energy Procedia 14:1566–1573
Kanaris AG, Mouza AA, Paras SV (2005) Flow and heat transfer in narrow channels with corrugated walls a CFD code application. Chem Eng Res Des 83(A5):460–468
Pehlivan H (2013) Experimental investigation of convection heat transfer inconverging–diverging wall channels. Int J Heat Mass Transf 66:128–138
Oosthuizen PH, Nayler D (1999) An introduction to convective heat transfer analysis. Mc-Graw-Hill, New York
Versteeg HK, Malalasekera W (1995) Computational fluid dynamics. Longman Group, New York
Launder BE, Spalding DB (1974) The numerical computation of turbulent flows. Comput Methods Appl Mech Eng 3:269–289
FLUENT 6.3 User’s guide (2006) Fluent Inc., USA
Incropera FP, Dewitt DP (2002) Fundamentals of heat and mass transfer, 5th edn. Wiley, London
Naphon P (2007) Laminar convective heat transfer and pressure drop in the corrugated channels. Int Commun Heat Mass Transf 34:62–71
Naphon P (2008) Effect of corrugated plates in an in-phase arrangement on the heat transfer and flow developments. Int J Heat Mass Transf 51:3963–3971
Zhang J, Kundu J, Manglik RM (2004) Effect of fin waviness and spacing on the lateral vortex structure and laminar heat transfer in wavy-plate-fin cores. Int J Heat Mass Transf 47:1719–1730
Yuan Z, Tao W, Wang Q (1998) Numerical prediction for laminar forced convection heat transfer in parallel-plate channels with streamwise-periodic rod disturbances. Int J Numer Methods Fluids 28:1371–1387
Shah RK, London AL (1978) Laminar flow forced convection in ducts. In: Thomas J, Irvine F, Hartnett JP (eds) Advances in heat transfer. Academic Press, New York
Naphon P (2009) Effect of wavy plate geometry configurations on the temperature and flow distributions. Int Commun Heat Mass Transf 36:942–946
Author information
Authors and Affiliations
Corresponding author
Rights and permissions
About this article
Cite this article
Sakr, M. Convective heat transfer and pressure drop in V-corrugated channel with different phase shifts. Heat Mass Transfer 51, 129–141 (2015). https://doi.org/10.1007/s00231-014-1390-5
Received:
Accepted:
Published:
Issue Date:
DOI: https://doi.org/10.1007/s00231-014-1390-5