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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.
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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 continuity equation in fluid mechanics?
Area*Velocity=Constant
What can a force do to a rocket that is moving at steay speed?
A force can change the direction of the rocket's motion but not its speed if the force is applied perpendicular to the rocket's velocity. If the force is applied in the same direction as the rocket's motion, it can accelerate or decelerate the rocket.
How does the rocket equation account for drag in the calculation of a rocket's trajectory?
The rocket equation does not directly account for drag in the calculation of a rocket's trajectory. Drag is typically considered separately in the analysis of a rocket's flight path, as it is a complex force influenced by factors such as air density, velocity, and the shape of the rocket. The rocket equation primarily focuses on the relationship between the mass of the rocket, the velocity of the exhaust gases, and the velocity of the rocket to determine its overall performance and capabilities.
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
What was Konstantin Tsiolkovsky's most significant contribution?
Tsiolkovsky devised the Tsiolkovsky rocket equation, or ideal rocket equation, which describes the motion of vehicles that follow the basic principle of a rocket.
What is continuity equation for compressible fluids?
The continuity equation for compressible fluids states that the rate of change of density (ρ) in a fluid is equal to -∇⋅(ρu), where ρ is density, u is velocity, and ∇⋅ is the divergence operator. This equation is derived from the conservation of mass principle in fluid dynamics.
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.
How can the reflexive property be applied to check the accuracy of a solution to an equation?
how can the reflexive property be applied to check the accuracy of a solution to equation?
How do jet engines provide a forward thrust for an airplane by using the continuity Equation?
they move
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 is the chemical equation for rockets?
A rocket hasn't a chemical equation; for a detailed discussion about propellants see the link below.
