OCCURRENCE OF WAVES ON THE SURFACE OF FLUID FLOWING IN A CIRCULAR CYLINDER 

Basinskiy Konstantin Yur'evich, Candidate of physical and mathematical sciences, associate professor, sub-department of mathematical modeling, Tyumen State University (6 Volodarskogo street, Tyumen, Russia), kbasinsky@mail.ru

532.591

10.21685/2072-3040-2016-4-5

Background. The aim of the work is to study the process of formation of waves of ideal fluid of infinite depth flowing around a circular cylinder located below a liquid surface.
Materials and methods. To solve the problem the action of a cylinder was replaced by the action of a dipole, which would replace a cylinder with its unlimited flow stream. The author applied a method of the perturbation theory - the small parameter method. By the decomposition of unknown functions in powers of the small parameter the initial task was broken down into tasks in the order of smallness.
Results. With the accurace of the second approximation the author obtained expressions for the potential velocity of liquid and the ordinates of free surface.
Conclusions. The researcher has studied the effect of various parameters of the problem on the form of free surface of the liquid.

ideal fluid flow, flowing around a cylinder, method of successive approximations, surface waves

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