Aperture show that F(z) = arccosh z gives confocal hyperbolas as stream lines, with foci at z

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Aperture show that F(z) = arccosh z gives confocal hyperbolas as stream lines, with foci at z = ±1, and that the flow circulates around an elliptic cylinder or a plate (the segment from – 1 to 1 in Fig. 416).

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Advanced Engineering Mathematics

ISBN: 978-0471488859

9th Edition

Authors: ERWIN KREYSZIG

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Question Posted: Nov 07, 2010 04:01 AM

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Show that F(z) = arccosh z gives confocal hyperbolas as streamlines, with foci at z = ±1, and the flow may be interpreted as a flow through an aperture (Fig. 419).
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Aperture show that F(z) = arccosh z gives confocal hyperbolas as stream lines, with foci at z

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w arccosh z implies z x y cosh w cos iw sin iw 7 Along with an interchange of ...View the full answer

Advanced Engineering Mathematics

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