© 2019 Elsevier B.V. Studying numerically traveling gravity waves of large amplitude at the interface of two fluids of infinite extent, Meiron & Saffman (J. Fluid Mech., vol. 129, 1983, pp. 213–218) demonstrated the existence ...

A number of formulations and methods were proposed to solve variational inverse boundary-value problems of aerohydrodynamics (IBPA). These problems were solved within the framework of the classical models of the mechanics ...

The paper presents a method of computing periodic water waves based on solving an integral equation by means of discretization and automatically finding the mesh on which the functions to be found are approximated by the ...

A study was conducted to demonstrate analog of the Kutta-Joukowskii theorem for the Helmholtz-Kirchhoff flow past a profile. The theorem stated that the flow domain was two-sheeted when a curve AB was convex or concave ...

In this work we investigate limiting values of the lift and drag coefficients of profiles in the Helmholtz-Kirchhoff (infinite cavity) flow. The coefficients are based on the wetted arc length of profile surfaces. The ...

The regularities of variation in axial parameters in the length of nonisothermal jets (heated and cooled) flowing out at an angle to horizon as well as shapes of jet axes bent by Archimedes' forces are determined. © Allerton ...

We study the nonlinear equation max g(γ)|cos(γ - α)| = f(α), γεℝ where f(α) is a given function and g(γ) is the unknown function, to be found in the class of nonnegative continuous π-periodic functions. This equation arose ...

In this paper the problem of the jet deflector of optimum shape has been solved. The deflector divides a jet that effuses from a semi-infinite channel of finite width. The goal of the investigation is to define the shape ...

In this paper the problem of finding the impermeable parachute of optimum shape in a subsonic gas flow has been solved. The effects of compressibility have been taken into account out by making use of ideas of Chaplygin's ...

© 2017 Cambridge University Press.In this work, we have obtained explicit analytical formulae expressing the wave resistance of a two-dimensional body in terms of geometric parameters of nonlinear downstream waves. The ...