Heat and Mass Transfer

, Volume 46, Issue 4, pp 437–445 | Cite as

Numerical simulation of fluid flow and heat transfer characteristics in channel with V corrugated plates

  • Yue-Tzu YangEmail author
  • Peng-Jen Chen


A detailed numerical study is carried out to investigate fluid flow and heat transfer characteristics in a channel with heated V corrugated upper and lower plates. The parameters studied include the Reynolds number (Re = 2,000–5,500), angles of V corrugated plates (θ = 20°, 40°, 60°), and constant heat fluxs (q″ = 580, 830, 1,090 W/m2). Numerical results have been validated using the experimented data reported by Naphon, and a good agreement has been found. The angles of V corrugated plates (θ) and the Reynolds number are demonstrated to significantly affect the fluid flow and the heat transfer rate. Increasing the angles of V corrugated plates can make the heat transfer performance become better. The increasing Reynolds number leads to a more complex fluid flow and heat transfer rate. The numerical calculations with a non-equilibrium wall function have a better accuracy than with a standard wall function for solving high Reynolds numbers or complex flow problems.


Heat Transfer Reynolds Number Nusselt Number Heat Transfer Rate Heat Transfer Characteristic 
These keywords were added by machine and not by the authors. This process is experimental and the keywords may be updated as the learning algorithm improves.

List of symbols




The surface area of corrugated plate


The cross section area of channel

C1, C2, Cμ

Turbulent constant


Specific heat (J/kg K)


Hydraulic diameter (m)


Enhancement ratio


The height of the channel


Mean heat transfer coefficient (W/m2 K)


Turbulence intensity


Thermal conductivity of fluid (W/m K)


Thermal conductivity of solid (W/m K)


Turbulent kinetic energy (m2/s2)


Nusselt number (\( Nu = h_c H \bar{\sigma }/2k_f \bar{X} \))


The air mass flow rate


Normal vector


Pressure (atm)


Wetted perimeter of the channel (m)


Prandtl number


Heat transferred to the cooling air form the corrugated plates (W)


Heat flux added to the top and bottom corrugated plates (W)


Heat flux (W/m2)


Reynolds number (Re = uD h /υ)


Mean temperature of air (°C)


Temperature of inlet (°C)


Mean temperature of surface (°C)

\( \bar{u}_{i} ,\;\bar{u}_{j} \)

Velocity component (m/s)


Mean velocity of inlet (m/s)

\( \bar{X} \)

The distance of the corrugated plate (m)

xi, xj

Coordinate (m)

Greek symbols


Density (kg/m3)

μl, μt

Viscosity of laminar and turbulent flow (N s/m2)


Kinematic viscosity (m2/s)


Dissipation rate of turbulent energy (m2/s2)


Angle of corregated plate

\( \bar{\sigma } \)

Distance along the corrugated surface

σε, σk, σT

kε Turbulence model constant for ε, k and T

















  1. 1.
    Dvorak FA (1969) Calculation of turbulent boundary layers on rough surfaces in pressure gradient. AIAA J 7:1752–1759CrossRefGoogle Scholar
  2. 2.
    Marriott J (1971) Where and how to use plate heat exchangers. Chem Eng 78:127–134Google Scholar
  3. 3.
    Sunden B, Skoldheden T (1985) Heat transfer and pressure drop in a new type of corrugated channels. Int Commun Heat Mass 12:559–566CrossRefGoogle Scholar
  4. 4.
    Webb BW, Ramadhyani S (1985) Conjugate heat transfer in a channel with staggered ribs. Int J Heat Mass Transfer 28:1679–1687CrossRefGoogle Scholar
  5. 5.
    Ghaddar NK, Karczak KZ, Mikic BB, Patera AT (1986) Numerical investigation of incompressible flow in grooved channels, part 1. Stability and self-sustained oscillations. J Fluid Mech 163:99–127CrossRefMathSciNetGoogle Scholar
  6. 6.
    Focke WW, Knibbe PG (1986) Flow visualization in parallel-plate ducts with corrugated walls. J Fluid Mech 165:73–77CrossRefGoogle Scholar
  7. 7.
    Tachie MF, Shah MK (2008) Favorable pressure gradient turbulent flow over straight and inclined ribs on both channel walls. Phys Fluids 20:095103CrossRefGoogle Scholar
  8. 8.
    Brunner T, Brenig W (1988) Coupled channel calculations for the rotational excitation of molecules at corrugated surfaces. Surf Sci 201:321–334CrossRefGoogle Scholar
  9. 9.
    Mazouz A, Labraga L, Tournier C (1998) Anisotropy invariant of Reynolds stress tensor in a duct flow and turbulent boundary layer. J Fluids Eng 120:280CrossRefGoogle Scholar
  10. 10.
    Mulhearn PJ (1976) Turbulent boundary layer wall-pressure fluctuations downstream from an abrupt change in surface roughness. Phys Fluids 19:796CrossRefGoogle Scholar
  11. 11.
    Sunden B, Trollheden S (1989) Periodic laminar flow and heat transfer in a corrugated channel. Int Commun Heat Mass 16:215–225CrossRefGoogle Scholar
  12. 12.
    Bhaganagar K, Coleman G, Kim J (2007) Effect of roughness on pressure fluctuations in a turbulent channel flow. Phys Fluids 19:028103CrossRefGoogle Scholar
  13. 13.
    Amon CH, Mikic BB (1990) Numerical prediction of convective heat transfer in self-sustained oscillatory flows. J Thermophys Heat Transf 4:239–246CrossRefGoogle Scholar
  14. 14.
    Amon CH (1992) Heat transfer enhancement by flow destabilization in electronic chip configurations. ASME J Electron Packag 144:35–40CrossRefGoogle Scholar
  15. 15.
    Heavner RL, Kumar H, Wannizrachi AS (1993) Performance of an industrial plate heat exchanger: effect of chevron angle. AICHE Symp 89:65–70Google Scholar
  16. 16.
    Yalamanchili RC (1993) Flow of non-Newtonian fluids in corrugated channels. Int J Nonlinear Mech 28:535–548CrossRefGoogle Scholar
  17. 17.
    Yalamanchili RC, Sirivat A, Rajagopal KR (1995) An experimental investigation of the flow of dilute polymer solutions through corrugated channels. J Non-Newton Fluid 58:243–277CrossRefGoogle Scholar
  18. 18.
    Nikuradse J (1933) Laws of flow in rough pipes. NACA Technical Memorandum: 1292Google Scholar
  19. 19.
    Ding J, Manglik RM (1996) Analytical solutions for laminar fully developed flows in double-sine shaped ducts. Heat Mass Transf 31:269–277CrossRefGoogle Scholar
  20. 20.
    Ciofalo M, Collins MW, Stasiek JA (1998) Flow and heat transfer predictions in flow passages of air preheaters: assessment of alternative modeling approaches. In: Sunden B, Faghri M (eds) Computer simulations in compact heat exchangers. Computational Mechanics Publications, UK, pp 169–225Google Scholar
  21. 21.
    Sawyer D, Sen M, Chang HC (1998) Heat transfer enhancement in three dimensional corrugated channel flow. Int J Heat Mass Transf 41:3559–3573CrossRefGoogle Scholar
  22. 22.
    Zimmerer C, Gschwind P, Gaiser G, Kottke V (2002) Comparison of heat and mass transfer in different heat exchanger geometries with corrugated walls. Exp Therm Fluid Sci 26:269–273CrossRefGoogle Scholar
  23. 23.
    Wang CC, Chen CK (2002) Forced convection in a wavy-wall channel. Int J Heat Mass Transf 45:2587–2595zbMATHCrossRefGoogle Scholar
  24. 24.
    Karmare SV, Tikekar AN (2009) Experimental investigation of optimum thermohydraulic performance of solar air heaters with metal rib grits roughness. Sol Energy 83:6–13CrossRefGoogle Scholar
  25. 25.
    Dhananjay Gupta, Solanki SC, Saini JS (1997) Thermo hydraulic performance of solar air hearers with roughened absorber plates. Sol Energy 61:33–42CrossRefGoogle Scholar
  26. 26.
    Karwa R, Solanki SC, Saini JS (1999) Heat transfer coefficient and friction factor correlation for the transitional flow regime in rib roughened rectangular ducts. Int J Heat Mass Transf 42:1597–1615CrossRefGoogle Scholar
  27. 27.
    Nagano Y, Hattori H, Houra T (2004) DNS of velocity and thermal fields in turbulent channel flow with transverse-rib roughness. Int J Heat Fluid Flow 25:393–403CrossRefGoogle Scholar
  28. 28.
    Fabbri G, Rossi R (2005) Analysis of the heat transfer in the entrance region of optimized corrugated wall channel. Int Commun Heat Mass 32:902–912CrossRefGoogle Scholar
  29. 29.
    Naphon P (2007) Heat transfer characteristics and pressure drop in channel with V corrugated upper and lower plates. Energy Convers Manag 48:1516–1524CrossRefGoogle Scholar
  30. 30.
    Launder BE, Spalding DB (1972) The numerical computation of turbulent flow. Comput Methods Appl Mech Eng 3:269–289CrossRefGoogle Scholar
  31. 31.
    Kim SE, Choudhury D (1995) A near-wall treatment using wall functions sensitized to pressure gradient. Separated and Complex Flows ASME FED, vol 217, pp 273–279Google Scholar
  32. 32.
    Webb RL (1994) Principles of enhanced heat transfer. Wiley, New YorkGoogle Scholar
  33. 33.
    Patankar SV (1980) Numerical heat transfer and fluid flow. McGraw-Hill, New YorkzbMATHGoogle Scholar

Copyright information

© Springer-Verlag 2010

Authors and Affiliations

  1. 1.Department of Mechanical EngineeringNational Cheng Kung UniversityTainanTaiwan

Personalised recommendations