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

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

ავტორები

  • Levan Jikidze საქართველოს ტექნიკური უნივერსიტეტი image/svg+xml
  • Varden Tsutskiridze საქართველოს ტექნიკური უნივერსიტეტი image/svg+xml

DOI:

https://doi.org/10.52340/building.2024.01.69.03

საკვანძო სიტყვები:

Conductivity, injection velocity, flow, heat transfer, magnetic field, porosity

ანოტაცია

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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ჩამოტვირთვები

გამოქვეყნებული

2024-07-02

როგორ უნდა ციტირება

Jikidze, L., & Tsutskiridze, V. (2024). 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 . სამეცნიერო-ტექნიკური ჟურნალი "მშენებლობა", 1(69), 19–23. https://doi.org/10.52340/building.2024.01.69.03

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