ელექტროგამტარ სითხეში ფოროვანი წრიული ფირფიტის ბრუნვით წარმოქმნილი სასაზღვრო ფენის სტაციონარული ამოცანა სუსტი მაგნიტური ველისა და თბოგადაცემის გათვალისწინებით ცვლადი გაჟონვის სიჩქარის შემთხვევაში

Abstract

The paper investigates the stationary task of the boundary layer generated by the rotation of a circular porous plate rotating in an electrically conductive fluid with respect a weak magnetic field and heat transfer when the suction velocity into the plate changes by a linear law. The problem is solved by using the method of successive approximation (Shvec method). For solving it, in the magnetic field electrically conductive fluid flow Navier-Stokes and energy nonlinear differential equations in partial derivatives is used, which is recorded as a system of ordinary nonlinear differential equations using Karman general insertions. The solutions of the obtained system of equations are sought in the form of infinite series. The first two approaches are clearly found. Appropriate equations are obtained to determine the thickness of dynamic and thermal boundary layers and their exact solutions are obtained. All the kinematic characteristics of the fluid flow are calculated and images are obtained for the heat transfer and pressure distribution on the circular plate. The torque of rotation of the plate and the coefficient of heat transfer are also calculated. In the particular case, the relationship between the thicknesses of the dynamic and thermal boundary layers is established.