THE STATIONARY PROBLEM OF THE BOUNDARY LAYER FORMED BY THE JOINT ROTATION OF A POROUS CIRCULAR PLATE AND THE SUROUNDING CONDUCTIVE FLUID TAKING INTO ACCOUNT THE MAGNETIC FIELD AND HEAT TRANSFER IN THE CASE OF VARIABLE SUCTION VELOSITY
DOI:
https://doi.org/10.52340/building.2024.01.69.03საკვანძო სიტყვები:
Conductivity, injection velocity, flow, heat transfer, magnetic field, porosityანოტაცია
In the paper, the stationary problem of the boundary layer formed by the
joint rotation of a porous circular plate and the surrounding conductive fluid is studied by the Shvetz method (method of successive approximation), taking into account the magnetic field and heat transfer, when the suction velocity changes according to the linear law.
In order to solve the problem, the Navier-Stokes differential equations of fluid motion in a magnetic field and energy nonlinear differential equations in partial derivatives by using generalized Karman transformations are reduced to ordinary nonlinear differential equations, the solutions of which are sought in the form of infinite series. The first two approximations have been clearly calculated, which determine the distribution of fluid velocity, temperature and pressure in the dynamic and thermal boundary layers formed on the circular plate.
In order to calculate the thicknesses of the dynamic and thermal boundary layers, the appropriate equations are obtained and the exact solutions of these equations are recorded. In a particular case, the relationship between the thicknesses of the dynamic and thermal boundary layers is determined. The moment of resistance to rotation of the plate and the heat transfer coefficient are also calculated.
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წყაროები
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