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

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Abstract

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.

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Abbreviations

A :

Area

A c :

The surface area of corrugated plate

A cross :

The cross section area of channel

C1, C2, C μ :

Turbulent constant

C p :

Specific heat (J/kg K)

D h :

Hydraulic diameter (m)

E :

Enhancement ratio

H :

The height of the channel

h c :

Mean heat transfer coefficient (W/m2 K)

I :

Turbulence intensity

k f :

Thermal conductivity of fluid (W/m K)

k S :

Thermal conductivity of solid (W/m K)

k :

Turbulent kinetic energy (m2/s2)

Nu :

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

m a :

The air mass flow rate

n :

Normal vector

P :

Pressure (atm)

P c :

Wetted perimeter of the channel (m)

Pr :

Prandtl number

Q a :

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

Q heater :

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

q″:

Heat flux (W/m2)

Re :

Reynolds number (Re = uD h /υ)

T a :

Mean temperature of air (°C)

T in :

Temperature of inlet (°C)

T s :

Mean temperature of surface (°C)

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

Velocity component (m/s)

u in :

Mean velocity of inlet (m/s)

\( \bar{X} \) :

The distance of the corrugated plate (m)

x i , x j :

Coordinate (m)

ρ :

Density (kg/m3)

μ l , μ t :

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

υ :

Kinematic viscosity (m2/s)

ε :

Dissipation rate of turbulent energy (m2/s2)

θ :

Angle of corregated plate

\( \bar{\sigma } \) :

Distance along the corrugated surface

σ ε , σ k , σ T :

k–ε Turbulence model constant for ε, k and T

ave:

Average

s :

Surface

in:

Inlet

w :

Wall

l :

Laminar

t :

Turbulent

out:

Outlet

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  1. Department of Mechanical Engineering, National Cheng Kung University, Tainan, 70101, Taiwan

    Yue-Tzu Yang & Peng-Jen Chen

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  1. Yue-Tzu Yang
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Correspondence to Yue-Tzu Yang.

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Yang, YT., Chen, PJ. Numerical simulation of fluid flow and heat transfer characteristics in channel with V corrugated plates. Heat Mass Transfer 46, 437–445 (2010). https://doi.org/10.1007/s00231-010-0586-6

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  • DOI: https://doi.org/10.1007/s00231-010-0586-6

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