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Heat transfer enhancement in a channel with a built-in rectangular cylinder

Erhöhung des Wärmeübergangs in einem Spaltkanal mit quer eingebautem Rechteckprisma

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Abstract

A two dimensional numerical investigation of the unsteady laminar flow pattern and forced convective heat transfer in a channel with a built-in rectangular cylinder is presented. The channel in the entrance region has a length to plate spacing of ten. The computations were made for several Reynolds number and two rectangular cylinder aspect ratios. Hydrodynamic behavior and heat transfer results are obtained by solution of the complete Navier-Stokes and energy equation. The results show that these flow exhibits laminar self-sustained oscillations for Reynolds numbers above the critical one. This study show that oscillatory separated flows result in a significant heat transfer enhancement but also in a significant pressure drop increase.

Zusammenfassung

Es wird eine zweidimensionale numerische Untersuchung des instationären Wärmeübergangs und Druckverlustes im laminar durchströmten Spaltkanal mit quer eingebautem Rechteckprisma dargelegt und zwar für verschiedene Reynoldszahlen und zwei Prismenabmessungen. Als Lösung der Navier-Stokes- und der Energiegleichung resultieren selbsterregt oszillieren de Strömungs- und Temperaturfelder, verbunden mit starker Erhöhung des Wärmeübergangs und des Druckverlustes.

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Abbreviations

C f :

skin friction coefficient, Eq. (11)

C D :

drag coefficient, Eq. (11)

D :

drag [N/m]

f app :

apparent friction factor, Eq. (10)

h :

cylinder height [m]

H :

channel height [m]

k :

thermal conductivity of cylinder [W/mK]

k 0 :

thermal conductivity of air [W/mK]

l :

cylinder length [m]

L :

channel length [m]

Nu :

Nusselt number, Eq. (7)

P :

dimensionless pressure

Pr :

Prandtl number of air

Re :

Reynolds number, Eq. (6)

t :

time [s]

T :

temperature [K]

T b :

bulk temperature [K], Eq. (8)

U, V :

dimensionless velocity components

X, Y :

dimensionless coordinates

α:

thermal diffusivity [m2/s]

β:

velocity factor, Eq. (11)

θ:

dimensionless temperature, Eq. (5)

ρ:

fluid density [kg/m3]

ν:

kinematic viscosity [m2/s]

τ:

dimensionless time, Eq. (5)

Δ:

difference

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Authors and Affiliations

  1. Departamento de Ingeniería Mecánica, Universidad de Chile, Casilla 2777, Santiago, Chile

    A. Valencia

Authors
  1. A. Valencia
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Valencia, A. Heat transfer enhancement in a channel with a built-in rectangular cylinder. Heat and Mass Transfer 30, 423–427 (1995). https://doi.org/10.1007/BF01647447

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  • DOI: https://doi.org/10.1007/BF01647447

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