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Velocity potential

Applications of Conformal Mapping to Complex Velocity Potential of the Flow of an Ideal Fluid

Applications of Conformal Mapping to Complex Velocity Potential of the Flow of an Ideal Fluid

... complex velocity potential function 𝛺(z) for an irrotational flow of an incompressible fluid, that is, the flow of an ideal fluid in a domain D of the ...the velocity potential 𝛷(𝑢,𝑣) in the ...

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Dynamical equations for the vector potential and the velocity potential in incompressible irrotational Euler flows: A refined Bernoulli theorem

Dynamical equations for the vector potential and the velocity potential in incompressible irrotational Euler flows: A refined Bernoulli theorem

... where r = x − x . It should be noted that (12) is equivalent to the conventional Euler equations in three dimensions. Note that the equations for A in three dimensions and ψ in two dimensions hold generally for smooth ...

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Relativistic velocity - potential hydrodynamics and stellar stability

Relativistic velocity - potential hydrodynamics and stellar stability

... Euler-Lagrange equations were the general-relativistic field equations plus the equations of motion for a perfect fluid in what we have called the standard version. An essenti[r] ...

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Effects of diffraction and radiation on a submerged sphere

Effects of diffraction and radiation on a submerged sphere

... a submerged sphere in finite depth was presented by Wu et al. [12]. They used the method of multipole expansions as demonstrated by Thorne [8] to determine the lin- ear velocity potential for a finite water ...

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Fluid State of Dirac Quantum Particles

Fluid State of Dirac Quantum Particles

... the velocity potential of a potential flow formulated in the theory of classical ...the potential to establish a wave within its physical ...

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Part I. On the breaking of nonlinear dispersive waves. Part II. Variational principles in continuum mechanics

Part I. On the breaking of nonlinear dispersive waves. Part II. Variational principles in continuum mechanics

... mechanics appear for special flows in which new variables, such as the velocity potential or stream function , can be introduced. The advantage is that when the Eu[r] ...

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Self similar solutions to the spherically symmetric Euler equations with a two constant equation of

Self similar solutions to the spherically symmetric Euler equations with a two constant equation of

... It is well known that the spherically-symmetric flow is one of the most important flows in gas dynamics and attracts much attention in recent years, since this kind of flows arises in many important physical situations ...

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Reflection of Water Waves by a Curved Wall

Reflection of Water Waves by a Curved Wall

... the velocity potential, are obtained for the general problem considered ...the velocity potential and reflection coefficient are also ...

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CALCULATION OF «VULNERABILITY» ZONE IN CASE OF TERRORIST ATTACK WITH CHEMICAL AGENTS

CALCULATION OF «VULNERABILITY» ZONE IN CASE OF TERRORIST ATTACK WITH CHEMICAL AGENTS

... the velocity potential, on the basis of which we determine the wind stream velocity field, and the equation adjoint to the equation of mass transfer in the atmospheric air of the chemical agent ...

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A Novel Obstacle Localization Method for an Underwater Robot Based on the Flow Field

A Novel Obstacle Localization Method for an Underwater Robot Based on the Flow Field

... interest velocity potential φ can be expressed as Equation (9), the flow velocity near the target can be shown as Equation (10), and the parallel velocity component v ( x ) x,// can be ...

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Expansion by Laguerre Function for Wave Diffraction around an Infinite Cylinder

Expansion by Laguerre Function for Wave Diffraction around an Infinite Cylinder

... The purpose of this paper is to validate the accuracy and convergence of Laguerre series and approximate the vertical velocity potential φ on an infinite cylinder generated by a body. Section 2 introduces ...

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Visual cues eliciting the feeding reaction of a planktivorous fish swimming in a current

Visual cues eliciting the feeding reaction of a planktivorous fish swimming in a current

... The visual plankivorous feeding behaviour of the shiner perch (Cymatogaster aggregata) was investigated by means of a flow tank operated at various current speeds. Artemia salina was used as prey. In a second set of ...

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A quasi-normal scale elimination model of turbulence and its application to stably stratified flows

A quasi-normal scale elimination model of turbulence and its application to stably stratified flows

... We have simulated the IOP-9 event with the new K − model in a single-column format, where measured verti- cal profiles of wind velocities and potential temperature at 23:00 UTC were used as initial conditions. ...

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On the dynamics of the Small Magellanic Cloud through high resolution ASKAP HI observations

On the dynamics of the Small Magellanic Cloud through high resolution ASKAP HI observations

... coherent velocity gradient across the galaxy and several kinematic systems with very different dynamical histo- ries likely co-exist depending on the stellar ...gravitational potential of the SMC, being ...

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Optomechanical self-organization in cold atomic gases

Optomechanical self-organization in cold atomic gases

... The velocity distribution is not changed from the initial Maxwellian one and the density remains ...dipole potential created by the modulated light field, a density modulation evolves and the ...

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Electromagnetic Splitting of Meson Mass

Electromagnetic Splitting of Meson Mass

... Perhaps more interesting is not the perfect numerical fit, but rather that the 1 − γ value of 0.8 gives us γ = 0.2. It is interesting to investigate how we can create such a 2D hydrogen from the 5D projection. It was ...

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Analysis of the energy balance closure over a FLUXNET boreal forest in Finland

Analysis of the energy balance closure over a FLUXNET boreal forest in Finland

... identifying potential rea- sons for this lack of energy balance ...friction velocity, and at- mospheric stability/instability ...friction velocity and unstable ...

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Numerical Investigation of Heat Transfer on a Flat Plate with Pulsating Jet Array Along with Cross Flow Assisted with Baffles

Numerical Investigation of Heat Transfer on a Flat Plate with Pulsating Jet Array Along with Cross Flow Assisted with Baffles

... The velocity components are evaluated at the control volume faces, while the rest of the variables governing the flow field are stored at the central node of the control ...

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Potential effects of valproate and oxcarbazepine on growth velocity and bone metabolism in epileptic children- a medical center experience

Potential effects of valproate and oxcarbazepine on growth velocity and bone metabolism in epileptic children- a medical center experience

... growth velocity before and for 1 year after VPA and/or OXC ...growth velocity ( Δ Ht) and body weight change ( Δ Wt) between pre- and post-AEDs treatment were ...growth velocity and serum TRAcP 5b ...

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Ratio of solid velocity to mixture velocity in slurry flow

Ratio of solid velocity to mixture velocity in slurry flow

... the velocity ratio in terms of dimensionless parameters representing the distribution of the particles in the mixture, the slip between the solid particles and the adjacent fluid, and the velocity ...

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