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# Mathematical Modelling of Transport Processes in the Problem of Poiseuille Flow on the Basis of Williams Equation. Pp. 84–89. Section: Physics. Mathematics. Informatics

533.72

### Authors

Gulakova Svetlana Viktorovna, Postgraduate Student, Institute of Mathematics, Information and Space Technologies, Northern (Arctic) Federal University named after M.V. Lomonosov (Arkhangelsk, Russia)

Popov Vasily Nikolaevich, Institute of Mathematics, Information and Space Technologies, Northern (Arctic) Federal University named after M.V. Lomonosov (Arkhangelsk, Russia)

### Abstract

The paper provides an analytical solution to the problem of Poiseuille flow using the kinetic approach. As the basic equation we used the linearized Williams equation, and as a boundary condition on the channel walls we used a diffuse reflection model. The structure of mass rate of gas and mass flux per unit of channel width were calculated. The results were compared with the analogous data obtained by numerical methods.

### Keywords

Boltzmann equation, model kinetic equations, Poiseuille flow, exact analytical solution.

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### References

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