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What is continuity equation tell us?

Updated: 9/24/2023
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fluid flow.

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Q: What is continuity equation tell us?
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How are the continuity equation and bernoulli's equation related?

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.


What is the equation of continuity?

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.


Continuity equation for time varying field?

The Continuity Equation for a time varying field Eris:dEr/cdt = Del.Ev where Ev is the vector field associated with the real time varying field.Er + Ev =E, constitute a quaternion field.Del.Ev is the Divergence of the vector field.The Continuity Equation is a statement that the time variation of the real field is equal to the Divergence of the vector field. or more succinctly, the quaternion field E=Er + Ev is Real invariant.The Vector part of the variation is 0= dEv/cdt + Del Er + DelxEv , this is Vector Invariance of E. This is not the Continuioty Equatin but the Induction Equation. Together they represent the Invariance of the quaternion field E=Er + Ev.Because quaternions are not taught in schools yet, few realize the relationship between Continuity and Induction, they are the Real and Vector parts of Invariance!


What best describes continuity in a circuit?

Continuity in a circuit means no breaks; continuous.


What instrument measures continuity?

A continuity tester, aka test light. Its a simple ohmmeter with a go/no-go indicator (often a light bulb).

Related questions

How are the continuity equation and bernoulli's equation related?

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.


What is continuity equation in fluid mechanics?

Area*Velocity=Constant


What is the equation of continuity?

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.


When is the speed of a fluid maximum in a venturi meter?

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


How do jet engines provide a forward thrust for an airplane by using the continuity Equation?

they move


What does solving the equation for a line tell us?

A line is represented by an equation. Each solution of the equation is a point on the line, and each point on the line is a solution to the equation. So the line is just the graph of the solution set of the equation.


What has the author Ph W Zettler-Seidel written?

Ph. W. Zettler-Seidel has written: 'Nomograms for three ramjet performance equations (continuity equation, pressure equation, combustion equation)'


What are the physical significances of equation of continuity?

it is the mathematical representation of principle of conservation of masses that flow into a controlled volume.


How can you tell if a fusible link is blown?

Check it for continuity with an OHM meter.


What does the equation Emc2 tell us?

It tells us how much energy is available in any given mass and of course also the reverse.


How can you tell if a time-delay fuse is burned out?

If you cannot tell by looking then check the continuity with an ohm meter.


How equation of continuity applied on rocket?

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.