56
F. A. Maksimov
Taylor vortices can shift relatively to the boundaries of the computational domain,
which is observed in a number of calculations.
Figure 5.6 demonstrates the patterns of the Taylor vortices with L = 1.300, L =
1.393 when it is possible to get the flow with two pairs of the vortices (Fig. 5.6a)
and one pair of the vortices (Fig. 5.6b). When using the field with the given flow
structure as the initial condition, it is possible to delay the restructuring of the flow
pattern.
The moment of resistance of the inner cylinder in the case of the Couette flow is
determined by the expression M =
4πμωr
2 R
2
R 2 −r 2 [12]. Let us introduce the dimensionless
coefficient of the moment of friction resistance C m =
M
0.5ρ(ωr )
2 πr 2 h
. Here, h is the
length of the cylinder. For the Couette solution, the coefficient C m is determined by the
expression C m =
1
Re
·
8R
2
(R+r )r
. Figure 5.7 demonstrates the coefficient C m depending
on the given periodicity L in accordance with the calculation results. The 1 and 2
sets of results corresponded to the similar sets are shown in Fig. 5.7. If a sufficiently
Fig. 5.6 Taylor vortices: a L = 1.300, b L = 1.393
Fig. 5.7 Dependence of
coefficient C m from a
periodicity size L