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Alun Hughes edited subsection_applying_information_theory_to__.tex
over 3 years ago
Commit id: 6881dad97614945836b046394810f4d5e277ede0
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diff --git a/subsection_applying_information_theory_to__.tex b/subsection_applying_information_theory_to__.tex
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+++ b/subsection_applying_information_theory_to__.tex
...
dP = dP_+ + dP_- \qquad {and} \qquad dU = dU_+ + dU_-
\]
then we can solve for the forward and backward pressure changes in terms of the measured changes $dP$ and $dU$
\[ $dP_\pm(t) = {\frac{1}{2}$} \big(dP(t) \pm \rho c dU(t)\big)$
\]
The changes in velocity follow from the water hammer equations. Thus, if we know the wave speed in the artery we can separate the measured changes in pressure into its forward and backward components.