An introduction to the mechanics of fluids by Edwin Henry Barton PDF

By Edwin Henry Barton

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As one can see in Fig. 19(a), a temperature disturbance on the interface generates buoyancy volume forces and thermocapillary tangential stresses acting in the same direction. In this case, the action of the thermocapillary effect leads to a decrease of the minimized critical Grashof number (see Fig. 20). 20. Dependence of G c on M for the air / water system (system 4 in Table 1); a = 1. In the opposite case, R1 (G) > R2 (G), the buoyancy convection arises first in the upper layer (see Fig. 19(b)).

The traveling wave has been found near the threshold predicted by the linear stability theory (see Fig. 12). 31). 2 Rayleigh-B´enard Convection L/2 Sl2 (t) = 0 dx −a 0 L dzψ2 (x, z, t), Sr 2 (t) = 0 dx −a L/2 31 dzψ2 (x, z, t). 34) are developed near the instability threshold. Because of the above-mentioned symmetry, Sr 1 = −Sl1 (see Fig. 13(a)). The oscillations in the top layer and in the bottom layer are characterized by a phase shift (see Fig. 13(b)). The evolution of the stream function field during one-half of the oscillation period is shown in Fig.

27). Finally, the growth of the symmetric mode leads to the complete destruction of the antisymmetric flow, but after some transient period, the almost antisymmetric stream-function field is restored, and the process is repeated. During a long period of time, the phase trajectory is close to the line Sl1 = −Sr 1 , but the growth of the symmetric mode leads to the deviation of the phase trajectory from this line. 23. 80 × 104 . 24. 80 × 104 . , 1996).

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An introduction to the mechanics of fluids by Edwin Henry Barton


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