The effect of homogeneous strain on passive scalar fluctuations, and the resultant evolution of the scalar field when the strain is removed, is experimentally studied by passing thermal fluctuations in decaying grid turbulence through a four-to-one axisymmetric contraction. Using a mandoline (Warhaft & Lumley 1978 a ) to vary the scale size of the initial thermal fluctuations and hence the pre-contraction mechanical/thermal time-scale ratio, r , it is shown, for values of r greater than unity, that as r is increased so is the post-contraction thermal decay rate, i.e. the contraction does not cause the thermal-fluctuation decay rate to equilibrate to a constant value. In these experiments the post-contraction thermal decay rate is always greater than the pre-contraction decay rate, i.e. the contraction accelerates the thermal-fluctuation decay. Moreover, the mechanical/thermal time-scale ratio in the post-contraction region is driven further from unity. In terms of scale size the uniform strain has the effect of increasing the thermal length scale by an amount equal in value to the contraction ratio if the pre-contraction thermal length scale is comparable to that of the pre-contraction velocity scale. However, if the pre-contraction thermal length scale is smaller than the pre-contraction velocity scale then the effect of the contraction on the thermal scale is less marked. The contraction induces significant negative cross-correlation ρ u θ between the longitudinal velocity u and thermal fluctuations θ even if the pre-contraction cross-correlation is close to zero. The magnitude of ρ u θ and hence the post-contraction heat flux is varied and the coherence structure is studied. It is shown that the thermal-fluctuation decay rate is insensitive to the magnitude of the heat flux, the latter of which decays rapidly compared to the relatively slow decay of turbulence energy in the post-contraction region. It is also shown that ρ u θ tends towards zero in this axisymmetric homogeneous flow at a faster rate than in isotropic turbulence. In accord with previous investigations, the return toward isotropy of the velocity field is very slow.
[1]
J. Rotta,et al.
Statistische Theorie nichthomogener Turbulenz
,
1951
.
[2]
J. Lumley,et al.
A First Course in Turbulence
,
1972
.
[3]
S. Corrsin,et al.
The use of a contraction to improve the isotropy of grid-generated turbulence
,
1966,
Journal of Fluid Mechanics.
[4]
H. Ribner,et al.
Spectrum of turbulence in a contracting stream
,
1953
.
[5]
S. Corrsin,et al.
Effect of Contraction on Turbulence and Temperature Fluctuations Generated by a Warm Grid
,
1959
.
[6]
J. Lumley,et al.
The decay of temperature fluctuations and heat flux in grid generated turbulence
,
1978
.
[7]
Maninder S. Uberoi.
Effect of Wind-Tunnel Contraction on Free-Stream Turbulence
,
1956
.
[8]
T. T. Yeh,et al.
Spectral transfer of scalar and velocity fields in heated-grid turbulence
,
1973,
Journal of Fluid Mechanics.
[9]
U. Schumann,et al.
Axisymmetric homogeneous turbulence: a comparison of direct spectral simulations with the direct-interaction approximation
,
1976,
Journal of Fluid Mechanics.
[10]
G. S. Patterson,et al.
Numerical study of the return of axisymmetric turbulence to isotropy
,
1978,
Journal of Fluid Mechanics.
[11]
J. Herring,et al.
A test field model study of a passive scalar in isotropic turbulence
,
1979,
Journal of Fluid Mechanics.
[12]
J. Lumley,et al.
The return to isotropy of homogeneous turbulence
,
1977,
Journal of Fluid Mechanics.
[13]
John L. Lumley,et al.
Computational Modeling of Turbulent Flows
,
1978
.
[14]
G. Taylor.
Turbulence in a contracting stream
,
1935
.
[15]
G. Batchelor,et al.
The theory of homogeneous turbulence
,
1954
.
[16]
Zellman Warhaft,et al.
An experimental study of the decay of temperature fluctuations in grid-generated turbulence
,
1978,
Journal of Fluid Mechanics.
[17]
L Prandtl,et al.
Attaining a steady air stream in wind tunnels
,
1933
.