Extension of Heisenberg's model for spectral transfer to second order fluids in turbulent flow

✍ Scribed by Singh, K. ;Lumley, J. L.

• Publisher: Springer
• Year: 1971
• Tongue: English
• Weight: 587 KB
• Volume: 24
• Category: Article
• ISSN: 0003-6994
• DOI: 10.1007/bf00411713

✦ Synopsis

A generalization of the e d d y viscosity concept p e r m i t s an extension of t h e Heisenberg model for spectral energy transfer. The results are applied to the isotropic homogeneous t u r b u l e n t flow of an incompressible second order fluid.

Nomenclature

A~ a, b, c

Cpq(~, x)

Rivlin-Ericsen tensors -time derivatives in intrinsic coordinates various combinations of Y2, 73 right Cauchy-Green tensor -the metric tensor of a p a s t s t a t e relative to the present Fourier coefficient of local R e y n o l d s stress Fourier coefficient of the difference field Fourier coefficient of velocity field three-dimensional energy s p e c t r u m for total field n o n -N e w t o n i a n three dimensionat s p e c t r u m N e w t o n i a n t h r e e dimensional s p e c t r u m various c o m b i n a t i o n s of the material c o n s t a n t s *)