A Well Posed Boundary Value Problem in Transonic Gas Dynamics
A Well Posed Boundary Value Problem in Transonic Gas Dynamics
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In our eReader you can find the full English version of the book. Read A Well Posed Boundary Value Problem in Transonic Gas Dynamics Online - link to read the book on full screen. Our eReader also allows you to upload and read Pdf, Txt, ePub and fb2 books. In the Mini eReder on the page below you can quickly view all pages of the book - Read Book A Well Posed Boundary Value Problem in Transonic Gas Dynamics
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2) (pu)^ + (pv) = and the irrotationality condition (2. 3) u - V = y X permit us to introduce a stream function 'j^ and a velocity potential ^P . Equations (2. 2) and (2. 3) can then be trans- formed, using the Bernoulli law (2. 1), into second order partial differential equations for (t> or i(j . We have, for instance, the equation (2. 4) (c^-u^)(}) - 2uv(}) + (c^-v^)4) = .
^xx ^xy ^yy The equation (2. 4) is quasilinear. It can be reduced to a linear equation by use of the hodograph transforma...tion. The hodograph transformation consists of introducing u and v as the independent variables. In the hodograph plane we use polar coordinates defined by The equation (2. 4) is transformed into the linear system (2. 5) *e = p ^q ' where M = q/c is the local Mach number.
Equations (2. 5) are known in the literature as the Chaplygin equations. They are of the hyperbolic type for supersonic flow, M > 1, and of the elliptic type for subsonic flow, M
What to read after A Well Posed Boundary Value Problem in Transonic Gas Dynamics?
You can find similar books in the "Read Also" column, or choose other free books by Jose M Sanz to read onlineMoreLess
To quickly assess the difficulty of the text, read a short excerpt:
2) (pu)^ + (pv) = and the irrotationality condition (2. 3) u - V = y X permit us to introduce a stream function 'j^ and a velocity potential ^P . Equations (2. 2) and (2. 3) can then be trans- formed, using the Bernoulli law (2. 1), into second order partial differential equations for (t> or i(j . We have, for instance, the equation (2. 4) (c^-u^)(}) - 2uv(}) + (c^-v^)4) = .
^xx ^xy ^yy The equation (2. 4) is quasilinear. It can be reduced to a linear equation by use of the hodograph transforma...tion. The hodograph transformation consists of introducing u and v as the independent variables. In the hodograph plane we use polar coordinates defined by The equation (2. 4) is transformed into the linear system (2. 5) *e = p ^q ' where M = q/c is the local Mach number.
Equations (2. 5) are known in the literature as the Chaplygin equations. They are of the hyperbolic type for supersonic flow, M > 1, and of the elliptic type for subsonic flow, M
What to read after A Well Posed Boundary Value Problem in Transonic Gas Dynamics?
You can find similar books in the "Read Also" column, or choose other free books by Jose M Sanz to read onlineMoreLess
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