VI:L(X'lT'Y A N I ) l.l:V(i'l t1 S('AI,ES
223
dispcrsioi~. One can. lor radii of curvature which persist over a reasonable
spatial extent, construct a local diffusivity dependent on the width of the
plume and velocities associated with this dimension, i t . ,
(16)
(17)
When Eq.
This result is very close to the " 5 power law *' of relative dispersion. I t is
interesting that the 3 depcndence of a reliitive diffusivity has been observed
in verv diverse circumstances which do not alwavs have an inertial subranee
A ~ K N O W I . H I ) ( i ~ ~ r . ~ T S
1 lie c\pcriiiientiil work was undertaken iii the I)ep:irtment of Applied Matheniiitics and
'I Iiooretical I'hv*iLx. Univcr4ity of Cambridge. I:.iigland in 1967. Subsequcnt analysis and comptitatioii wiih supported from NRC Grant N62. The author wishes to express his gratitude t o
1111: rckrcc ror some very useful comments particularly i n relation to Eq. (I?).
REFERENCES
Aris, R. (1962).
'
+
Vectors. Tensors, and the Basic Equations of Fluid hlechaniL~." Prenticc-Hall.
Hotchclor. G . h;. (1952). f'roc. Ctrnihridgu Phil. SH.. 48. 345 362.
Kllnr. S. J.. Rr~nc)lds. W. C.. Schrituh. 1; . A,. and Ritndsiildlcr. P. (1967). .I. Flttitl h/(,t./i. 30.
Laufer. J. (195 I ) . X4C.4 ( N t r r . 4dr. ('own. .Atwwwt/.) Rep. No. 1032.
Sulli\;tn, P. J. (I9hX). P1i.D. Thusis. Univ. of C';imbritlge. C'iinibridge. England.
Sulli\;in. P. J. (1071a). ./. Fluid Much. 47. 601 ho7.
Sulliviin. I? J. (197lb). .I. Flitid M r c h 49. 551 576.
ltrwnscnd, A. A. (1956). "The Structure of Turhulent Shear Flow." Camhriclpc 1Jniv. Press.
Enplewood C'liITs. Ncw Jersey.
-41 773.
London and New York.
223
dispcrsioi~. One can. lor radii of curvature which persist over a reasonable
spatial extent, construct a local diffusivity dependent on the width of the
plume and velocities associated with this dimension, i t . ,
(16)
(17)
When Eq.
This result is very close to the " 5 power law *' of relative dispersion. I t is
interesting that the 3 depcndence of a reliitive diffusivity has been observed
in verv diverse circumstances which do not alwavs have an inertial subranee
A ~ K N O W I . H I ) ( i ~ ~ r . ~ T S
1 lie c\pcriiiientiil work was undertaken iii the I)ep:irtment of Applied Matheniiitics and
'I Iiooretical I'hv*iLx. Univcr4ity of Cambridge. I:.iigland in 1967. Subsequcnt analysis and comptitatioii wiih supported from NRC Grant N62. The author wishes to express his gratitude t o
1111: rckrcc ror some very useful comments particularly i n relation to Eq. (I?).
REFERENCES
Aris, R. (1962).
'
+
Vectors. Tensors, and the Basic Equations of Fluid hlechaniL~." Prenticc-Hall.
Hotchclor. G . h;. (1952). f'roc. Ctrnihridgu Phil. SH.. 48. 345 362.
Kllnr. S. J.. Rr~nc)lds. W. C.. Schrituh. 1; . A,. and Ritndsiildlcr. P. (1967). .I. Flttitl h/(,t./i. 30.
Laufer. J. (195 I ) . X4C.4 ( N t r r . 4dr. ('own. .Atwwwt/.) Rep. No. 1032.
Sulli\;tn, P. J. (I9hX). P1i.D. Thusis. Univ. of C';imbritlge. C'iinibridge. England.
Sulli\;in. P. J. (1071a). ./. Fluid Much. 47. 601 ho7.
Sulliviin. I? J. (197lb). .I. Flitid M r c h 49. 551 576.
ltrwnscnd, A. A. (1956). "The Structure of Turhulent Shear Flow." Camhriclpc 1Jniv. Press.
Enplewood C'liITs. Ncw Jersey.
-41 773.
London and New York.