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Fig. 1. Manifold arrangement for flow distribution. Traditionally, most of theoretical models are based on Bernoulli equation after taking the frictional losses into account using a control volume (Fig. 2). The frictional loss is described using the Darcy–Weisbach equation. One obtains a governing equation of dividing flow as follows: Fig. 2 ...
Active control requires actuators that require energy and may operate in a time-dependent manner. [1] Active flow control includes steady or unsteady suction or blowing, [2] the use of synthetic jets, valves and plasma actuators. Actuation may be pre-determined (open-loop control) or be dependent on monitoring sensors (closed-loop control).
It is like a switchboard in an electrical circuit because it lets the operator control how much fluid flows between which components of a hydraulic machinery. For example, in a backhoe loader a manifold turns on or shuts off or diverts flow to the telescopic arms of the front bucket and the back bucket. The manifold is connected to the levers ...
Characteristics may fail to cover part of the domain of the PDE. This is called a rarefaction, and indicates the solution typically exists only in a weak, i.e. integral equation, sense. The direction of the characteristic lines indicates the flow of values through the solution, as the example above demonstrates.
In fields utilizing the calculus of variations or the related Pontryagin maximum principle, the transversality condition is frequently used to control the types of solutions found in optimization problems. For example, it is a necessary condition for solution curves to problems of the form:
WASHINGTON (Reuters) -A lead prosecutor on the criminal case accusing Donald Trump of illegally holding onto classified documents has left the U.S. Justice Department ahead of the president-elect ...
Also, hair loss on the legs can indicate peripheral artery disease (when narrow blood vessels prevent blood flow to the limbs) among people with type 2 diabetes. (Related: Finasteride for Hair ...
State police believe the remains belong to a white or Hispanic woman who was about 5'1" tall. Authorities said the person had two tattoos on their body: a koi fish tattoo on the shoulder blade ...