Froude number defined

Persson (1967) indicated that it is convenient to use the Froude number, defined by equation 1.2, to assess the degree of fluidization and for peas suggested values of Fr befween 40 and 45. 

Kt = iiig/pphysical properties group JWr Froude number, defined by Eq. (3)... 

The recommended approach to estimate the jet penetration depth is to make use of the two-phase Froude number defined as... 

Fm -deposition Froude number defined in Expression 10, dimensionless... 

If a continuous source of vapor is available, Froude numbers between 0.31 and l.O will give trouble. The Froude number is defined as follows ... 

For scale-up from system 1 to system 2 for the same liquid properties and system geometry, equation 5.14 which defines the Reynolds number for mixing ReM, equation 5.15 which defines the Froude number for mixing FrM, and equation 5.16 which defines the Weber number for mixing WeM, can be written respectively in the following forms ... 

Apparently no attempts have been made to prepare a complete chart for the prediction of flow patterns in vertical flow, analogous to Fig. 4. Kozlov (K5) has stated, on the basis of his experiments with air and water in a 1-in. diameter tube, that the flow pattern can be defined by plotting the volumetric gas fraction fed and the average Froude number, Vii /gD- He gives equations for the boundary lines between types of flow (assumed to be straight lines on a log-log plot of the type suggested). 

Davis (Dl) has suggested that the introduction of the Froude number into the Lockhart-Martinelli parameter. A, gives a description of gravitational and inertial forces so that this model can be applied to vertical flow. The revised parameter, X, is defined empirically for turbulent-turbulent flow as,... 

This definition of 2VFr is of particular physical significance in film flow, since here the Froude number denotes the ratio of the mean film velocity to the celerity of a gravity wave in shallow liquid. (Wave celerity is defined as the velocity of a wave relative to the liquid on which the wave propagates.) The Weber number is defined by analogy. 

Froude number Fr V2 gL inertial force gravity force Often defined as Fr = V/VgL... 

Although this is sometimes defined as a Froude number, it is more common to use the square root so as to have V in the first power, as in the Reynolds number. Thus, the Froude number is... 

Frh The Froude number, based on hole velocity, defined by Eq. 

In free surface flows such as that shown in Fig. 1.18 the gravitational acceleration g has an effect on h and this will again mean that an extra dimensionless variable will be involved, this being the Froude number, Fr, defined by ... 

The relationships for mixing time and power consumption discussed above assume no gas entrainment. For unbaffled vessels, this occurs only below a certain maximum stirrer speed. This maximum stirrer speed, defined in terms of the dimensionless Froude number (Frmax = N djg), depends upon the... 

The dimensionless source term essentially represents the ratio of generation to convection. For various generation terms, several additional dimensionless numbers may be defined. For example, if the generation of momentum due to gravitational forces is considered, a dimensionless number, called as the Froude number (Fr), is defined as the ratio of convection to gravitational factors. The dimensionless numbers discussed here along with other dimensionless numbers are listed in Table 2.1 together with their physical interpretation. 

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