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Laminar flow development and heat transfer in converging plane-walled channels

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Abstract

The characteristics of flow development and heat transfer in converging plane-walled channels are studied by the finite difference method. The velocity and temperature profiles in both angular and radial directions, the average Nusselt number and the pressure drop are calculated for three different taper angles. The results show that the transport process is governed by three parameters: the inlet Reynolds number, the Péclet number and the taper angle. The increase of the taper angle yields an increase of the Nusselt number and a decrease of the pressure drop.

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Abbreviations

Nu :

average Nusselt number

p :

static pressure

p e :

static pressure at channel entrance

P :

dimensionless pressure, (p−p e)/ρu 2e

Pé :

Péclet number

r :

radial coordinate

r 0 :

radial length

R :

dimensionless radial coordinate, 1−r/r 0

t :

temperature

t e :

fluid temperature at channel entrance

t w :

channel wall temperature

T :

dimensionless temperature, (t−t w)/(t e−t w)

u :

fluid velocity component in r-direction

u e :

fluid velocity at channel entrance

U :

dimensionless velocity, u/u e

v :

fluid velocity component in θ direction

V :

dimensionless velocity, v/u e

α :

thermal diffusivity

β :

taper angle

θ :

angular coordinate

μ :

dynamic viscosity

ρ :

density

φ :

reduced angular coordinate, θ/β

References

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Authors and Affiliations

  1. Dept. of Mech. Eng., State University of New York at Buffalo, 14214, Buffalo, N.Y., USA

    J. W. Yang & G. M. Price

Authors
  1. J. W. Yang
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  2. G. M. Price
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Yang, J.W., Price, G.M. Laminar flow development and heat transfer in converging plane-walled channels. Appl. Sci. Res. 25, 361–371 (1972). https://doi.org/10.1007/BF00382309

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  • DOI: https://doi.org/10.1007/BF00382309

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