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Viscous gas flow in thin layers with fixed boundaries
Содержание
- 1. Viscous gas flow in thin layers with fixed boundaries
- 2. The object of this study is the gas flow in a
- 3. well-known scholars of my field of scientific knowledge Gabriel Stokes(1819-1903)Jean Louis Marie Poiseuille(1797-1869)Daniel Bernoulli(1700-1782)Osborne Reynolds(1842-1912)
- 4. We see the gap with fixed boundaries. Here we assume the thickness
- 5. Navier – Stokescontinuity equationequation of state energy balance equation
- 6. equations expressing the generalized Newton's law of viscous stress tensor due to the
- 7. To study the flow of the gas we use
- 8. Pressure field in the micro cracks can be determined by solving
- 9. Applying the ideal gas equation, we obtainWe compute also the force of
- 10. The remaining components of the viscous stress tensor vanishTotal
- 11. Results obtained in this research work can be used to improve
- 12. LITERATURE1. Snopov A. Theory of working of
- 13. Скачать презентанцию
The object of this study is the gas flow in a thin, straight cracks. Purpose - to create a method and algorithm for calculating the characteristics of the flow of a viscous gas in a thin layer. Outline a new method of calculation that
Слайды и текст этой презентации
Слайд 3well-known scholars of my field of scientific knowledge
Gabriel Stokes
(1819-1903)
Jean Louis Marie Poiseuille
(1797-1869)
Daniel
Bernoulli
(1700-1782)
Osborne Reynolds
(1842-1912)
Слайд 4We see the gap with fixed boundaries. Here we assume the thickness of the gap at several
orders of magnitude inferior to the length and width.
Слайд 6equations expressing the generalized Newton's law of viscous stress tensor due to the tensor of deformation rates
expression
for determining the mass flow
expression to determine the speed of sound in gas
Sutherland's formula for
the dynamic viscosity
Слайд 7To study the flow of the gas we use equations but this system is
not only difficult to solve, but also setting the boundary conditions for it are difficult. To overcome this
problem, perform the simplification of the system. The gas flow take steady, laminar and isothermal, the equations presented in neglect quantities of order in comparison with unity and forces of inertia of the gas flow, and we assume that:After simplifying the system of equations reduces to
Слайд 8Pressure field in the micro cracks can be determined by solving the Reynolds equation,
which in Cartesian coordinate system with the view of the accepted conditions of the
form:Take the pressure does not depend on the transverse coordinateand obtain the solution
expression to determine the velocity has the form
Слайд 9Applying the ideal gas equation, we obtain
We compute also the force of friction that occurs during gas flow
through the gap. Assuming a flat bottom surface, are able to find the field of
viscous stresses on the surface (known normal at any point)
Слайд 10The remaining components of the viscous stress tensor vanish
Total force of friction on the
upper boundary is defined as follows:calculate the total force of friction, given that it is
balanced by a pressure drop of gasAs a result of numerical experiments it was found the general equality of frictional forces on the upper and lower limits for cracks of various forms of.
Слайд 11Results obtained in this research work can be used to improve estimates of leakage of gases through
the cracks in the walls of pressure vessels
Слайд 12LITERATURE
1. Snopov A. Theory of working of gas static supports.
Rostov-on-Don, 2009
2. Methodological guidelines for the thermal and gas dynamic calculations for testing gas turbine pumping units
ПР 51-31323949-43-99 3. Guidelines for the calculation of total emissions of hydrocarbons(total) in the atmosphere. OAO "Gazprom“11-2005
