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The Proceedings Fifth International Conference on Numerical Ship Hydrodynamics (1990) / Chapter Skim
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Numerical and Analytical Investigations of a Stationary Flow past a Self-Propelled Body
Pages 329-340

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From page 329...
... L Senn~tskii Lavrentyev Institute of Hydrodynamics Novosibirsk, USSR Abstract A stationary viscous incompressible liquid flow past a body is considered.
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From page 330...
... 5) o and called the problem of momentumless flow past a body in the Stokes approximation .
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From page 331...
... However, it is hoped that its solution may be positive for low Reynolds numbers. The solution asymptotics for a classical problem of flow past a body ~ ~ - -elf when Be ~ O to]
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From page 332...
... the main terms of velocity field asymptotics in the problem of momentumless flow past a body are characterized by 18 parameters, they are the elements of tensors R and ~ . In an axisymmetrical case the number of these parameters decreases to eight.
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From page 333...
... Liquid flows at great distances from self-propelled and non-self-propelled bodies can be significantly different. Let us consider the problems of a stationary flow of a viscous incompressible liquid past self-propelled bodies [21,223.
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From page 334...
... . Let us consider the problem of a stationary flow of viscous incompressible liquid past a pair of rotating cylinders (a pair of identical parallel circular cylinders rotating around their axes with opposite angular velocities)
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From page 335...
... :253. In accordance with these data, the most energy profitable propelling is realized at u % 1.3.The power which is necessary for this propelling of the cylinders is approximately, 80% of the power required for the propelling of the non-rotating cylinders.
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From page 336...
... is the modulus of inflowing flow velocity, ~ is the characteristic value of swirling by the propeller model. Equations (3.1)
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From page 337...
... 3.4. The problem of stationary motion of an arbitrary body with a constant velocity is tightly connected with the estimate of the consumption of energy necessary for providing the motion regime under consideration.
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From page 338...
... "On stationary solutions of the problem of viscous incompressible liquid flow past a body", Matematicheskii sbornik.
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From page 339...
... "Viscous flow in an angular cylindrical tube with flowing through an inner boundary", Problemy dinamiki vyazkoi zhidkosti:Trudy X Vsesoyuznoi konferensii, Novosibirsk, pp.188-191 (1985) , (in Russian)
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Key Terms

  • viscous incompressible
  • incompressible liquid
  • momentumless flow
  • stationary flow
  • velocity field

  • velocity vanishes
  • dinamika sploshnoi
  • field asymptotics
  • sploshnoi sredy
  • viscous flow

  • liquid velocity
  • liquid flow
  • incompressible flow
  • liquid past
  • axisymmetrical flow

  • rotating cylinders
  • circular cylinders
  • plane flow
  • prikladnoi mekhaniki
  • zhurnal prikladnoi

  • unit time
  • force acting
  • stationary viscous
  • cylinders rotating
  • problemy dinamiki

  • disturbed motion
  • stationary solutions
  • solution asymptotics
  • asymptotical behaviour
  • boundary value


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