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Nonlinear pressure–velocity waveforms in large arteries, shock waves and wave separation

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Abstract Nonlinear inviscid 1D blood flow equations were studied analytically using the method of characteristics. The initial–boundary value problem for a class of the initial–boundary conditions (including a triangle-shaped profile)… Click to show full abstract

Abstract Nonlinear inviscid 1D blood flow equations were studied analytically using the method of characteristics. The initial–boundary value problem for a class of the initial–boundary conditions (including a triangle-shaped profile) at the aortic outlet was considered. The nonlinear pressure–velocity profile and shock conditions were derived as closed analytical expressions with second order accuracy on the relative luminal area change. Finally, the fully nonlinear wave separation expressions were obtained using the Riemann invariants. The results show good correspondence with the data from the literature.

Keywords: wave separation; pressure velocity; nonlinear pressure

Journal Title: Wave Motion
Year Published: 2019

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