See also: Pressure (homonymy)
A pressure is an intensive size report/ratio of a Force on a surface.
Definition
The
pressure , noted
p admits, according to the branches of the physics which one considers, several definitions which all coincide:
In Mechanical, the pressure is locally defined starting from the component of the normal force on the surface on which she is exerted. If one considers an elementary surface dS and its local normal in M one has then the pressure p (M) by:
In the case of a force perpendicular to a plane surface of
surface S , one obtains the following scalar definition easily:
The term obtained by building the report/ratio of the component of the tangential force on the surface of exercise is called the forced tangential. It is homogeneous with a pressure and is concerned in the phenomena of Viscosité in particular.
In Mechanical of the continuous mediums, the pressure is defined like one the third of the trace of the Tenseur of the constraints i.e. the average of the diagonal terms of this tensor. In mechanics of the incompressible fluids, the pressure is the Multiplicateur of Lagrange making it possible to check the Incompressibilité material. One has then to make with a definition Implicite of the pressure.
In Thermodynamic, the pressure is defined starting from the energy interns by:
For a Newtonian fluid , the pressure is strictly positive because it is necessary to provide energy to decrease volume