In a sphere placed in an arbitrary non-stationary flow field of viscous incompressible fluid for stick boundary conditions where the force density s calculations leads to show the generalization of Faxen's theorem to force multipole moments of arbitrary order.
32.
At typical velocities, the penetration process generates such enormous pressures that it may be considered hydrodynamic; to a good approximation, the jet and armor may be treated as incompressible fluids ( see, for example, ), with their material strengths ignored.
33.
However, as I recently learned, a medium's volume density is " inversely " proportional to the speed of sound in the medium, while the Bulk modulus, which is higher for incompressible fluids, is positively correlational to the sound speed.
34.
In a sphere moving in an incompressible fluid in a non-stationary flow with mixed stick-slip boundary condition where the force of density shows an expression of the Fax�n type for the total force, but the total torque and the symmetric force-dipole moment.
35.
A common misconception is that the head equals the fluid's energy per unit weight, while, in fact, the term with pressure does not represent any type of energy ( in the Bernoulli equation for an incompressible fluid this term represents work of pressure forces ).
36.
From a strictly aerodynamic point of view, the term should refer only to those side-effects arising as a result of the changes in airflow from an incompressible fluid ( similar in effect to water ) to a compressible fluid ( acting as a gas ) as the speed of sound is approached.
37.
However in this case it is a completely sealed system with a much denser, incompressible fluid ( water ); I doubt the same effect would even be close to the same scale in a non-sealed system such as the " hand clapping " one .-talk ) 20 : 12, 25 May 2012 ( UTC)
38.
The first and third terms to the Hasegawa Mima equation, which are the same as the Navier Stokes equation, are the terms introduced by adding the polarization drift . In the limit where the wavelength of a perturbation of the electric potential is much smaller than the gyroradius based on the sound speed, the Hasegawa Mima equations become the same as the two-dimensional incompressible fluid.
39.
Next, in an initially stationary incompressible fluid, there is no vorticity, and the fluid stays irrotational, hence \ scriptstyle \ nabla \ times \ textbf { u }'= 0 . \, In the streamfunction representation, \ scriptstyle \ nabla ^ 2 \ psi = 0 . \, Next, because of the translational invariance of the system in the " x "-direction, it is possible to make the ansatz
40.
This water in turn exerts additional pressure on the air bubble inside the diver; because the air inside the diver is compressible but the water is an incompressible fluid, the air's volume is decreased but the water's volume does not expand, such that the pressure external to the diver " a " ) forces the water already in the diver further inward and " b " ) drives water from outside the diver into the diver.
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