Gravity equations

Person 2 Use the center-of-gravity equations (2.43) to calculate the composition at the indicated point. 

If we substitute the value for the rate of sedimentation under gravity, Equation (4), we obtain... 

AGP additional gas produced, a parameter in reservoir-gas specific gravity equation, defined by Equation 7-11... 

We can analyze the process by the application of Newton s second law of motion. The net force acting on the boundary, defined as the lower surface of the piston, is F — mg — Fe, where g represents the acceleration due to gravity. Equation (2.9) for this case becomes... 

Dimensionless acceleration due to gravity [equation (100)] Parameter of the stability criterion Galileo number defined in Eq. (82)... 

An approximate treatment of the phenomenon of the capillary rise can be easily made in terms of Laplace s equation. If the liquid wets the wall of the capillary, the liquid surface is forced to lie parallel to the wall, and the liquid surface has to be concave in shape. The pressure in the liquid below the surface is less than that in the gas phase above the liquid surface. If the capillary is circular in cross section and not too wide in radius, the meniscus will be approximately hemispherical, as is illustrated in Figure 6.5. Such a case is described well by Eq. (6.11). If h denotes the height of the meniscus above the flat liquid surface, then at equilibrium, AP must also be equal to the hydrostatic pressure of the liquid column inside the capillary. Thus AP = Apgh, where Ap is the difference in density between the liquid and gas phases and g is the acceleration due to gravity. Equation (6.11) then becomes... 

The American engineering system The unit force is 1 Ibf, where 1 Ibm is accelerated at g ft/s, where g is the acceleration of gravity. Equation 1.1 is rewritten as... 

To determine TE when the particle motion is outside the Stokes region, it is necessary to follow a procedure analogous to that used to calculate TS for Re > 1. (See Section 3.7.) A value of Re > 1 is more common for electrostatic motion than for settling, because the electrostatic force can be much greater than the force of gravity. Equating Eqs. 15.8 and 3.4, we obtain... 

FIGURE 12.4 Over- and underpredicted API gravity (Equation 12.13) and Conradson Carbon content (Equation 12.23) with parameters values correlated with feedstock properties ( ) feedstock D, (o) feedstock E. 

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