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Continuity equations describe the movement of constant. Bernoulli's equation also relates to movement, the flow of liquids. For some situations, where the liquid flowing is a constant, both a continuity equation and Bernoulli's equation can be applied.
fluid flow.
Area*Velocity=Constant
The Equation of Continuity is the four dimensional derivative of a four dimensional variable set to zero. This is also called the limit equation and the Boundary equation, and the Homeostasis Equation. The Continuity Equation is also called the Invariant Equation or Condition. The most famous equation that is in fact a continuity Equation is Maxwell's Electromagnetic equations. (d/dR + Del)(Br + Bv) = (dBr/dR -Del.Bv) + (dBv/dR + DelxBv + Del Br) = 0 This gives two equations the real Continuity Equation: 0=(dBr/dR - Del.Bv) and the vector Continuity Equation: 0=(dBv/dR + Del Br) This Equation will be more familiar when R=ct and dR=cdt and cB = E then 0=(dBr/dt - Del.Ev) and 0=(dBv/dt + Del Er) The Continuity Equation says the sum of the derivatives is zero. The four dimensional variable has two parts a real part Br and a vector part Bv. The Continuity Equation is the sum of the real derivatives is zero and the sum of the vector derivatives is zero. The term DelxBv is zero at Continuity because this term is perpendicular to both the other two terms and makes it impossible geometrically for the vectors to sum to zero unless it is zero. Only if the DelxBv=0 can the vectors sum to zero. This situation occurs when the other two terms are parallel or anti-parallel. If anti-parallel then dBv/Dr is equal and opposite to Del Br and the vectors sum to zero. This is Newton's Equal and Opposite statement in his 3rd Law and is a geometrical necessity for the vectors to sum to zero.. Many Equations of Physics have misrepresented the Continuity Equation and others have not recognized the continuity Equation as in Maxwell's Equations. The Continuity Equation is probably the most important equation in science! The Four dimensional space of science is a quaternion non-commutative (non-parallel) space defined by William Rowan Hamilton in 1843, (i,j,k and 1), with rules i^2=j^2=k^2=-1.
from the continuity equation A1v1 = A2v2 according to the continuity equation as the area decreases the velocity of the flow of the liquid increases and hence maximum velocity can be obtained at its throat
they move
Poiseuille Equation can only be applied to laminar flow.
Thanks to the limitations of the browser, there is no equation to be seen - just a collection of terms.
Ph. W. Zettler-Seidel has written: 'Nomograms for three ramjet performance equations (continuity equation, pressure equation, combustion equation)'
it is the mathematical representation of principle of conservation of masses that flow into a controlled volume.
in rockets the area of crossection for the ejection of smoke is made small, so according to the equation of continuity the speed of gases increases. this leads to raise the speed (and momentum) of the rocket, and chamge in momentum becomes rapid. as change in momentum gives force, the force on the the rocket increases and it flies fast.
Thermodynamics, lack of imagination, and government.