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Kinetic Energy
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Factors Involved in Flow
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Fluid Power - Intro to Hydraulics, Pneumatics, and how it all works
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Relationship of Force, Pressure, and Head

Figure 2-16 illustrates a possible relationship of these factors with respect to a particle of fluid (P)  in  a  system.  The  different  forces  are  shown in terms of head, or in other words, in terms of vertical   columns   of   fluid   required   to   provide the  forces.  At  the  particular  moment  under consideration, a particle of water (P) is being acted on by applied force (A), by atmospheric pressure (B),  and  by  gravity  (C)  produced  by  the  weight of the fluid standing over it. The particle possesses sufficient inertia or velocity head to rise to level P1, since head equivalent to F was lost in friction as P passed through the system. Since atmospheric pressure (B) acts downward on both sides of the system, what is gained on one side is lost on the other. If  all  the  pressure  acting  on  P  to  force  it through the nozzle could be recovered in the form of  elevation  head,  it  would  rise  to  level  Y.  If account  is  taken  of  the  balance  in  atmospheric pressure, in a frictionless system, P would rise to level  X,  or  precisely  as  high  as  the  sum  of  the gravity  head  and  the  head  equivalent  to  the applied  force. Kinetic  Energy It was previously pointed out that a force must be applied to an object in order to give it a velocity or  to  increase  the  velocity  it  already  has.  Whether the force begins or changes velocity, it acts over a  certain  distance.  A  force  acting  over  a  certain distance is work. Work and all forms into which it  can  be  changed  are  classified  as  energy. Obviously  then,  energy  is  required  to  give  an object velocity. The greater the energy used, the greater  the  velocity  will  be. Disregarding  friction,  for  an  object  to  be brought  to  rest  or  for  its  motion  to  be  slowed down,  a  force  opposed  to  its  motion  must  be applied  to  it.  This  force  also  acts  over  some distance.  In  this  way  energy  is  given  up  by  the object  and  delivered  in  some  form  to  whatever opposes its continuous motion. The moving object is  therefore  a  means  of  receiving  energy  at  one place (where its motion is increased) and delivering it  to  another  point  (where  it  is  stopped  or retarded).  While  it  is  in  motion,  it  is  said  to contain this energy as energy of motion or kinetic energy. Since  energy  can  never  be  destroyed,  it  follows that  if  friction  is  disregarded  the  energy  delivered to  stop  the  object  will  exactly  equal  the  energy that was required to increase its speed. At all times the  amount  of  kinetic  energy  possessed  by  an object depends on its weight and the velocity at which  it  is  moving. Figure 2-16.—Physical factors governing fluid flow. 2-12

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