• Adaptive Lukovsky’s formulas for the resulting hydrodynamic force and moment owing to sloshing in an upright circular tank 

      Timokha, Alexander (Journal article, 2019)
      Lukovsky’s asymptotic formulas for the resulting hydrodynamic force and moment are derived as if they follow from the adaptive (infinitedimensional) multimodal theory of the liquid sloshing dynamics in an upright circular ...
    • Analytical approximate capillary surfaces 

      Timokha, Alexander; Tkachenko, Eugene (Journal article, 2018)
      Analytical approaches to hydrostatic capillary (meniscus) problem in infinite horizontal channel and axisymmetric container are developed. For these geometric cases, finding the capillary menisci reduces to freeboundary ...
    • Resonant sloshing in a square-base tank due to an angular-and-horizontal periodic forcing 

      Timokha, Alexander (Journal article, 2016)
      Розробляється модальний метод для задачi про коливання рiдини у резервуарi квадратного перерiзу, який виконує перiодичнi горизон- тальнi та кутовi рухи малої амплiтуди. Аналiз показує, що домiнан- тна хвильова компонента ...