Theory of the Boltzmann Equation
Theory of the Boltzmann Equation
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In our eReader you can find the full English version of the book. Read Theory of the Boltzmann Equation 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 Theory of the Boltzmann Equation
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Only the problem of the initial layer described above has been solved (initial slip). The boundary layer problem (boundary slip) is to find proper asymptotic boundary values for the Chapman-Enskog equations. Any special solution of the Boltzmann equation (e. G. Heat flow between parallel plates) would yield as a byproduct the correct asymptotic boundary value for the special geometry. But only ad hoc approximations to solutions of boundary value problems have thus far been obtained (with the ex...cep- tion of a few solutions using a m. Odel of the Boltzmann equation ' -^), see Sect. 5- - 16 - The problem of shock slip is to find the correct jump conditions to replace the Hugoniot relations which are valid only to lowest order as appropriate to the invis- cld Euler equations. It is a misleading fact that, whereas the Euler equations admit only a discontinuity across a shock, the Navier-Stokes equations yield a continuous transi- tion. The Navier-Stokes solution, even though it is smooth, does not correctly approximate the Boltzmann solution uniformly across a shock wave.
What to read after Theory of the Boltzmann Equation?
You can find similar books in the "Read Also" column, or choose other free books by Harold Grad to read onlineMoreLess
To quickly assess the difficulty of the text, read a short excerpt:
Only the problem of the initial layer described above has been solved (initial slip). The boundary layer problem (boundary slip) is to find proper asymptotic boundary values for the Chapman-Enskog equations. Any special solution of the Boltzmann equation (e. G. Heat flow between parallel plates) would yield as a byproduct the correct asymptotic boundary value for the special geometry. But only ad hoc approximations to solutions of boundary value problems have thus far been obtained (with the ex...cep- tion of a few solutions using a m. Odel of the Boltzmann equation ' -^), see Sect. 5- - 16 - The problem of shock slip is to find the correct jump conditions to replace the Hugoniot relations which are valid only to lowest order as appropriate to the invis- cld Euler equations. It is a misleading fact that, whereas the Euler equations admit only a discontinuity across a shock, the Navier-Stokes equations yield a continuous transi- tion. The Navier-Stokes solution, even though it is smooth, does not correctly approximate the Boltzmann solution uniformly across a shock wave.
What to read after Theory of the Boltzmann Equation?
You can find similar books in the "Read Also" column, or choose other free books by Harold Grad to read onlineMoreLess
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