Search results for: RACHUNEK WARIACYJNY

• Minimum drag shape bodies moving in inviscid fluid - revisited

  Publication

  • K. Tesch
  • K. Kaczorowska-Ditrich

  - Transactions of the Institute of Fluid-Flow Machinery - Year 2017

  This paper presents the classic approach to minimum drag shape body problem, moving at hypersonic speeds, leading to famous power law shapes with value of the exponent of 3/4. Two- and three-dimensional cases are considered. Furthermore, an exact pseudo solution is given and its uselessness is discussed. Two new solutions are introduced, namely an approximate solution due to form of the functional and solution by means of optimisation...

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• Variational Method of Finding Streamlines in Ring Cascades for Creeping Flows

  Publication

  • K. Tesch
  • M. Banaszek

  - TASK Quarterly - Year 2011

  This paper presents a new, analytical method of finding streamlinesfor creeping flows inside a ring cascade which is composed of an infinite number of infinitely thin blades. An analytical solution has been obtained through minimisation of a dissipation functional by means of variational calculus method. The necessary condition for optimum of a functional gives the Stokes equation if some additional assumptions are introduced....

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• Istoria wozniknowenia i razwitia wariacionnych metodow.

  Publication

  • J. Glazunov

  - Year 2002

  Pojawienie się rachunku wariacyjnego otworzyło nowy etap w rozwoju matematyki. Pojawienie się jednej z pierwszych metod wariacyjnych-metody Ritza,utworzyło jeden z najbardziej uzasadnionych instrumentów matematyki stosowanej.