Converging Cylindrical Shocks in Magnetohydrodynamics
Converging Cylindrical Shocks in Magnetohydrodynamics
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In our eReader you can find the full English version of the book. Read Converging Cylindrical Shocks in Magnetohydrodynamics 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 Converging Cylindrical Shocks in Magnetohydrodynamics
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Ic If p (r), p (r), H (r), refer to the rvosslble equilibrium states that may exist in the uadisturbed medium ahead of the shock, these functions satisfy the relotions (1[|. ) p + p li H + ti, 1 — -— dr = constant, O ^ O v/ J^ (15) S = constant, Pq '" Pq In addition, it will be necessary in this work to have the rela- tions connecting u(r), p(r), p{r), H(r) in steady isentropic flow. From equations (9) to (13) we may write these in tVje dif- ferential form (which is convenient for later purpose...s): Hg u H u r ' z u du + ^ + ^ (H^, dH^ + H dH ) + ii H?, — =, p p'Q Q z z p©r ' dp + du ^ dr ^ Q pur ' dp = a dp where a is the sound speed. Solving these equations we have / 6 _ du _ -j^ ar Hg u r J T T dp _ dp _ z _, , . Dr 727 - ~ - "IT - ^^"^^ ■" a p ^ z ) (I6)''j P / a^ + tidip - Hg) / p where A = —5 5 5 a^ + ^{eI + H^) / p Turning now to the shock relations, the general form piven by Friedrichs simplifies in this case since there is no normal o component of the nia. Iiotic field.
What to read after Converging Cylindrical Shocks in Magnetohydrodynamics?
You can find similar books in the "Read Also" column, or choose other free books by Gerald B Whitham to read onlineMoreLess
To quickly assess the difficulty of the text, read a short excerpt:
Ic If p (r), p (r), H (r), refer to the rvosslble equilibrium states that may exist in the uadisturbed medium ahead of the shock, these functions satisfy the relotions (1[|. ) p + p li H + ti, 1 — -— dr = constant, O ^ O v/ J^ (15) S = constant, Pq '" Pq In addition, it will be necessary in this work to have the rela- tions connecting u(r), p(r), p{r), H(r) in steady isentropic flow. From equations (9) to (13) we may write these in tVje dif- ferential form (which is convenient for later purpose...s): Hg u H u r ' z u du + ^ + ^ (H^, dH^ + H dH ) + ii H?, — =, p p'Q Q z z p©r ' dp + du ^ dr ^ Q pur ' dp = a dp where a is the sound speed. Solving these equations we have / 6 _ du _ -j^ ar Hg u r J T T dp _ dp _ z _, , . Dr 727 - ~ - "IT - ^^"^^ ■" a p ^ z ) (I6)''j P / a^ + tidip - Hg) / p where A = —5 5 5 a^ + ^{eI + H^) / p Turning now to the shock relations, the general form piven by Friedrichs simplifies in this case since there is no normal o component of the nia. Iiotic field.
What to read after Converging Cylindrical Shocks in Magnetohydrodynamics?
You can find similar books in the "Read Also" column, or choose other free books by Gerald B Whitham to read onlineMoreLess
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