Static and Dynamic Pressure

The flow and pressm-e distribution within cyclones and swirl tubes is more easily understood if we make clear the relation between static and dynamic 

---

Bernoulli s equation (Equation 2-53), which accounis for static and dynamic pressure losses (due to changes in velocity), but does not account for frictional pressure losses, energ losses due to heat transfer, or work done in an engine. 

Klaentschi, K., Brown, J.A., Niblett, P.G., Shore, A.C. and Tooke, J.E. (1998) Pressure-permeability relationships in basement membrane effects of static and dynamic pressures. Am. J. Physiol., 274, H1327-H1334. 

Density. A cement slurry is designed at a density such that the well is under control during the whole process, that is, the static and dynamic pressures remain in between two limits across the entire open hole section during the whole operation. 

The separator pressure losses are defined as the difference between the sums of static and dynamic pressure before and after the separator. To express the characteristic parameter corresponding to the pressure loss of a separator, the pressure loss coefficient is frequently used where the subscript D is related to the characteristic dimensions of the separator. The pressure loss coefficient depends on the pressure loss of the separator, gravitational acceleration, flow rate gas density and separator dimensions. 

A low-pressure injection system, with 4 1 ratio pump at 9.5 liters/min output, is available, with a stainless steel catalyst delivery pump offering rates of 0.5 to 4.5%. The injection gun has a single moving valve, which shifts when the gun is activated. The system includes complete loop recirculation, air logic maintaining consistent static and dynamic pressure, and a stroke counter located at the injection gun. 

The sum of the static and dynamic pressures is termed the stagnation pressure or total pressure. 

For moving the dust-laden air or gas through a pipeline it will be necessary to install a suitable fan, which will have to develop the required flow rate, while maintaining the pressure difference at the extraction points and in the pipeline system as well as in the dust collection equipment itself and in any further pipes or ducts downstream thereof. The total pressure difference Ap is the sum of the static and dynamic pressure differences and is often called the overall pressure rise developed by the fan. 

The two main tools for establishing the loads on instrumentation and equipment are the scenario characterization (e.g., stuck-open relief valves, interfacing system pipe ruptures) and the deterministic analyses (in this case the aforementioned three-dimensional finite element analysis and MELCOR analysis). The conditions of interest are humidity, static and dynamic pressure, temperature, and radiation. All of these except radiation are readily calculated by MELCOR, though dynamic temperature and pressure estimation requires additional investigation using separate... 

Static and dynamic pressure distributions a single serpentine channel, (a) Static pressure for curvilinear bends, (b) Static pressure for square bends, (c) Dynamic pressure for square bends, (d) Dynamic pressure for curvilinear bends. 

In this equation, we recognize the static and dynamic pressures—the latter is often called the velocity head —as the first and third terms on the left-hand side. They have been divided by the fluid density. 

This equation shows that static and dynamic pressures can be interchanged in the flow field. In areas where the velocity is high, the static pressure will be low and vice versa. This is the principle used in many flow meters, for instance pitot tubes and venturi meters. It is especially important to appreciate this interdependence between static and dynamic pressure when dealing with swirling flows. 

Fig. 3.1.2. Static and dynamic pressure profiles within a cyclone...

We start with item 1 above. The nature of cyclone pressure drop can be understood only if we make the clear distinction between static and dynamic pressures p and l/2pu, respectively, as discussed in Chap. 2. 

Barth (1956) estimated the dissipative loss, z.e. the loss in the sum of the static and dynamic pressure p + lf2pv as separate contributions from ... 

---