Abstract
In order to observe and estimate the flow of fluid in three-dimensional space, the pulsed Doppler method has been used widely. However, the velocity information acquired is only the velocity component in the beam direction of the wave even if an observation plane is formed by beam scanning. Accordingly, it is difficult to know the velocity distribution in the observation plane in tree-dimensional flow. In this paper, the new idea for processing the velocity distribution in the beam direction on an observation plane for transposing to flux distribution (flow function method) has been introduced. Further, the flow in an observation domain is divided into two kinds of flows, viz., the base flow which indicates the directivity of the flow in the observation domain and the vortex which is considered a two-dimensional flow. By applying the theory of a stream function to the two-dimensional flow, and by using the physical feature of a streamline to the base flow, the velocity component v which intersects perpendicularly to the beam direction is estimated. The flow velocity distribution in a scanning plane (observation plane) can be known from these two components of velocity, viz., beam direction componentu and perpendicular component to the beam directionv. The principle was explained by an example of the blood flow measurement in normal and abnormal heart chamber, by the ultrasonic Doppler method.
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Shigeo Ohtsuki: He received the Ph.D. degree in engineer from Tokyo Institute of Technology in 1978. He is working for Precision and Intelligence Laboratory of Tokyo Institute of Technology as a professor. Research fields are electronics, acoustics, and ultrasonic application. He is a member of the Acoustical Society of Japan, a member of Medical Ultrasound of Japan, and a member of Visualization Society of Japan.
Motonao Tanaka: He received the M.D. and Ph.D. degrees in medical science from Tohoku University in 1959 and 1963 respectively. He as with the Research Institute for Chest Diseases and Cancer, Tohoku University, from 1959 to 1994, where he was a Professor of Medicine and Head of the Department of Medical Engineering and Cardiology. From 1987 to 1991, he was a Professor of Medical Engineering Department in Tokyo Institute of Technology. Since 1992, he has been the President of Double Red Cross Medical Center, Sendai and a Prof. Emeritus of Tohoku Univ. His research interests are diagnostic application of acoustics to medicine and cardiology, especially Ultrasonics; echo-cardiography. He is a member of WFUMB, the Japan College of Cardiology, the Acoustical Society of Japan and a senior member of Visualization Society of Japan.
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Ohtsuki, S., Tanaka, M. The flow velocity distribution from the doppler information on a plane in three-dimensional flow. J Vis 9, 69–82 (2006). https://doi.org/10.1007/BF03181570
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DOI: https://doi.org/10.1007/BF03181570