Gas jets

Author / Creator

Chaplygin, SergeiÌ⁶ Alekseevich, 1869-1942, author

Available as

Online

Summary

A brief summary of the contents of this paper is presented here. In Part 1 the differential equations of the problem of a gas flow in two dimensions is derived and the particular integrals by which...

A brief summary of the contents of this paper is presented here.

In Part 1 the differential equations of the problem of a gas flow in two dimensions is derived and the particular integrals by which the problem on jets is solved are given. Use is made of the same independent variables as Molenbroek used, but it is found to be more suitable to consider other functions. The stream function and velocity potential corresponding to the problem are given in the form of series.

The investigation on the convergence of these series in connection with certain properties of the functions entering them forms the subject of Part 2.

In Part 3 the problem of the outflow of a gas from an infinite vessel with plane walls is solved.

In Part 4 the impact of a gas jet on a plate is considered and the limiting case where the jet expands to infinity changing into a gas flow is taken up in more detail. This also solved the equivalent problem of the resistance of a gaseous medium to the motion of a plate.

Finally, in Part 5, an approximate method is presented that permits a simpler solution of the problem of jet flows in the case where the velocities of the gas (velocities of the particles in the gas) are not very large.

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