On the Non Occurrence of a Limiting Line in Transonic Flow
On the Non Occurrence of a Limiting Line in Transonic Flow
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We now consider a set of such flows throvigh the same duct depending on a parameter, t, which may, e. G..
represent the Mach niJinber of the incoming flow; we might also let the shape of the duct walls depend on a para- meter, keeping the entrance Mach number fixed. Thus we have a set of solutions of the differential equations (1. 02) which depend on a parameter t and which are de- fined in a domain in the (u, v) -plane iniiich also depends on the parameter. It is essential for the following ar...- gument that the solutions x(u, v), y(u, v) are non-constant analytic functions of u and v while the dependence of x, y and the derivatives x, x, y, v on the parameter t is only required to be continuous .
These functions x(u, v), y(u, v) are defined in some region D in the (u, v) -plane, which also depends on the parameter t. The boundary B of this region is mapped into the prescribed walls. We assume that also the boundary B depends continuously on t (in the sense e. G. That B can be given in a parametric representation which depends continuously on t).
What to read after On the Non Occurrence of a Limiting Line in Transonic Flow?
You can find similar books in the "Read Also" column, or choose other free books by Kurt Otto Friedrichs to read onlineMoreLess
To quickly assess the difficulty of the text, read a short excerpt:
We now consider a set of such flows throvigh the same duct depending on a parameter, t, which may, e. G..
represent the Mach niJinber of the incoming flow; we might also let the shape of the duct walls depend on a para- meter, keeping the entrance Mach number fixed. Thus we have a set of solutions of the differential equations (1. 02) which depend on a parameter t and which are de- fined in a domain in the (u, v) -plane iniiich also depends on the parameter. It is essential for the following ar...- gument that the solutions x(u, v), y(u, v) are non-constant analytic functions of u and v while the dependence of x, y and the derivatives x, x, y, v on the parameter t is only required to be continuous .
These functions x(u, v), y(u, v) are defined in some region D in the (u, v) -plane, which also depends on the parameter t. The boundary B of this region is mapped into the prescribed walls. We assume that also the boundary B depends continuously on t (in the sense e. G. That B can be given in a parametric representation which depends continuously on t).
What to read after On the Non Occurrence of a Limiting Line in Transonic Flow?
You can find similar books in the "Read Also" column, or choose other free books by Kurt Otto Friedrichs to read onlineMoreLess
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