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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
Original

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.

Keywords

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

A

Area

Ac

The surface area of corrugated plate

Across

The cross section area of channel

C1, C2, Cμ

Turbulent constant

Cp

Specific heat (J/kg K)

Dh

Hydraulic diameter (m)

E

Enhancement ratio

H

The height of the channel

hc

Mean heat transfer coefficient (W/m2 K)

I

Turbulence intensity

kf

Thermal conductivity of fluid (W/m K)

kS

Thermal conductivity of solid (W/m K)

k

Turbulent kinetic energy (m2/s2)

Nu

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

ma

The air mass flow rate

n

Normal vector

P

Pressure (atm)

Pc

Wetted perimeter of the channel (m)

Pr

Prandtl number

Qa

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

Qheater

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

q

Heat flux (W/m2)

Re

Reynolds number (Re = uD h /υ)

Ta

Mean temperature of air (°C)

Tin

Temperature of inlet (°C)

Ts

Mean temperature of surface (°C)

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

Velocity component (m/s)

uin

Mean velocity of inlet (m/s)

\( \bar{X} \)

The distance of the corrugated plate (m)

xi, xj

Coordinate (m)

Greek symbols

ρ

Density (kg/m3)

μl, μt

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

σε, σk, σT

kε Turbulence model constant for ε, k and T

Subscripts

ave

Average

s

Surface

in

Inlet

w

Wall

l

Laminar

t

Turbulent

out

Outlet

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Copyright information

© Springer-Verlag 2010

Authors and Affiliations

  1. 1.Department of Mechanical EngineeringNational Cheng Kung UniversityTainanTaiwan

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