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Thermal characteristics of the Airy wall jet for constant surface heat flux

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Abstract

The Airy jet is a wall-bounded flow belonging to the similarity class of the well known free jet but, in contrast to the latter, its far field behavior is an algebraically decaying rotational flow. The present paper investigates the thermal characteristics of the Airy jet over a wall with prescribed constant heat flux. The scaling behavior found for small and large values of the Prandtl number is compared to those obtained earlier for (a) the case of a wall with prescribed constant temperature and for (b) the case of a preheated Airy jet adjacent to an insulated wall.

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Fig. 1

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Abbreviations

Ai, Bi :

Airy functions

c p :

specific heat at constant pressure

f(η):

similar stream function, Eq. 3

G :

normalized temperature variable, Eq. 15

k :

thermal conductivity

L :

reference length

Nu :

Nusselt number

Pr :

Prandtl number

q :

heat flux

Q :

convected heat flux, Eq. 13

T :

temperature

T * :

reference temperature

u :

streamwise velocity component

x, y :

dimensionless Cartesian coordinates

z :

argument of the Airy functions, Eq. 3

γ:

power-law exponent, Eq. 1a

Γ:

Gamma function

η:

independent similarity variable, Eq. 1b

ϑ (η):

similarity temperature variable, Eq. 1a

θ:

modified similarity temperature variable, Eqs. 18 and 19

υ:

kinematic viscosity

ρ:

density

ad:

adiabatic

w:

wall conditions

∞:

far field condition

′:

derivative with respect to η or z

References

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Author information

Authors and Affiliations

  1. Chair of Physics of Buildings, Institute of Building Technology, Swiss Federal Institute of Technology (ETH) Zürich, 8093, Zürich, Switzerland

    E. Magyari

  2. Department of Mechanical Engineering, University of Colorado, Boulder, CO, 80309-0427, USA

    P. D. Weidman

Authors
  1. E. Magyari
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  2. P. D. Weidman
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Corresponding author

Correspondence to E. Magyari.

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Magyari, E., Weidman, P.D. Thermal characteristics of the Airy wall jet for constant surface heat flux. Heat Mass Transfer 42, 813–816 (2006). https://doi.org/10.1007/s00231-005-0048-8

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  • DOI: https://doi.org/10.1007/s00231-005-0048-8

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