title: Ð Ð°ÑÑÐµÑÐ½Ð¾-ÑÐºÑÐ¿ÐµÑÐ¸Ð¼ÐµÐ½ÑÐ°Ð»ÑÐ½Ð¾Ðµ Ð¸ÑÑÐ»ÐµÐ´Ð¾Ð²Ð°Ð½Ð¸Ðµ Ð·Ð°ÐºÑÑÑÐµÐ½Ð½Ð¾Ð³Ð¾ ÑÐµÑÐµÐ½Ð¸Ñ Ð² Ð¼Ð¾Ð´ÐµÐ»Ð¸ ÐºÑÐ¾Ð²ÐµÐ½Ð¾ÑÐ½Ð¾Ð³Ð¾ ÑÐ¾ÑÑÐ´Ð°
title: Ð²ÑÐ¿ÑÑÐºÐ½Ð°Ñ ÐºÐ²Ð°Ð»Ð¸ÑÐ¸ÐºÐ°ÑÐ¸Ð¾Ð½Ð½Ð°Ñ ÑÐ°Ð±Ð¾ÑÐ° Ð±Ð°ÐºÐ°Ð»Ð°Ð²ÑÐ°
titleType: Subtitle
title: Computational and experimental study of swirling flow in a blood vessel model
Creators: name: ÐÐ°ÑÐ¾ÑÐ¸Ð½Ð°, ÐÐ»ÑÐ½Ð°
Publisher: name: Ð¡Ð°Ð½ÐºÑ-ÐÐµÑÐµÑÐ±ÑÑÐ³ÑÐºÐ¸Ð¹ Ð¿Ð¾Ð»Ð¸ÑÐµÑÐ½Ð¸ÑÐµÑÐºÐ¸Ð¹ ÑÐ½Ð¸Ð²ÐµÑÑÐ¸ÑÐµÑ ÐÐµÑÑÐ° ÐÐµÐ»Ð¸ÐºÐ¾Ð³Ð¾
Year: 2023
Subjects: Ð·Ð°ÐºÑÑÑÐµÐ½Ð½Ð¾Ðµ ÑÐµÑÐµÐ½Ð¸Ðµ
ÑÐºÑÑÑÐµÐ½Ð½Ð°Ñ Ð»ÐµÐ½ÑÐ°
Ð·Ð°Ð²Ð¸Ñ ÑÐ¸ÑÐµÐ»Ñ
Ð¾ÑÐµÐ²Ð°Ñ Ð¸ Ð¾ÐºÑÑÐ¶Ð½Ð°Ñ ÐºÐ¾Ð¼Ð¿Ð¾Ð½ÐµÐ½ÑÑ ÑÐºÐ¾ÑÐ¾ÑÑÐ¸
ÑÐ»ÑÑÑÐ°Ð·Ð²ÑÐºÐ¾Ð²Ð¾Ð¹ Ð´Ð¾Ð¿Ð»ÐµÑÐ¾Ð²ÑÐºÐ¸Ð¹ Ð¼ÐµÑÐ¾Ð´
swirling flow
twisted tape
vortex generator
axial and circumferential velocity components
ultrasonic Doppler method

description: Ð Ð°Ð±Ð¾ÑÐ° Ð¿Ð¾ÑÐ²ÑÑÐµÐ½Ð° Ð¸ÑÑÐ»ÐµÐ´Ð¾Ð²Ð°Ð½Ð¸Ñ ÑÑÑÑÐºÑÑÑÑ Ð·Ð°ÐºÑÑÑÐµÐ½Ð½Ð¾Ð³Ð¾ ÑÐµÑÐµÐ½Ð¸Ñ, Ð° ÑÐ°ÐºÐ¶Ðµ Ð¾ÑÐ²Ð¾ÐµÐ½Ð¸Ñ Ð¼ÐµÑÐ¾Ð´Ð¸Ðº Ð¸Ð·Ð¼ÐµÑÐµÐ½Ð¸Ñ ÑÐ°ÑÐ°ÐºÑÐµÑÐ¸ÑÑÐ¸Ðº ÑÐ°ÐºÐ¾Ð³Ð¾ ÑÐµÑÐµÐ½Ð¸Ñ Ð² Ð¼Ð¾Ð´ÐµÐ»Ð¸ ÐºÑÐ¾Ð²ÐµÐ½Ð¾ÑÐ½Ð¾Ð³Ð¾ ÑÐ¾ÑÑÐ´Ð° ÑÐ»ÑÑÑÐ°Ð·Ð²ÑÐºÐ¾Ð²ÑÐ¼ Ð´Ð¾Ð¿Ð»ÐµÑÐ¾Ð²ÑÐºÐ¸Ð¼ Ð¼ÐµÑÐ¾Ð´Ð¾Ð¼, Ð°Ð½Ð°Ð»Ð¸Ð·Ñ ÑÑÑÑÐºÑÑÑÑ ÑÐµÑÐµÐ½Ð¸Ñ Ð² ÑÐ¸ÑÐ¾ÐºÐ¾Ð¼ Ð´Ð¸Ð°Ð¿Ð°Ð·Ð¾Ð½Ðµ ÑÐ¸ÑÐµÐ» Ð ÐµÐ¹Ð½Ð¾Ð»ÑÐ´ÑÐ° (Re = 100 Ã· 2000) Ð¿ÑÐ¸ ÑÐ°Ð·Ð½Ð¾Ð¹ ÑÑÐµÐ¿ÐµÐ½Ð¸ Ð·Ð°ÐºÑÑÑÐµÐ½Ð½Ð¾ÑÑÐ¸ Ð¿Ð¾ÑÐ¾ÐºÐ°. ÐÐ´Ð½Ð¾Ð¹ Ð¸Ð· ÐºÐ»ÑÑÐµÐ²ÑÑ ÑÐµÐ»ÐµÐ¹ Ð½Ð°ÑÑÐ¾ÑÑÐµÐ¹ ÑÐ°Ð±Ð¾ÑÑ ÑÐ²Ð»ÑÐµÑÑÑ Ð¾ÑÐµÐ½ÐºÐ° ÑÐ¾ÑÐ½Ð¾ÑÑÐ¸ ÑÐ»ÑÑÑÐ°Ð·Ð²ÑÐºÐ¾Ð²Ð¾Ð³Ð¾ Ð´Ð¾Ð¿Ð»ÐµÑÐ¾Ð²ÑÐºÐ¾Ð³Ð¾ (Ð£ÐÐ) Ð¼ÐµÑÐ¾Ð´Ð° Ð´Ð»Ñ Ð¾Ð¿ÑÐµÐ´ÐµÐ»ÐµÐ½Ð¸Ñ ÐºÐ¾Ð¼Ð¿Ð¾Ð½ÐµÐ½Ñ ÑÐºÐ¾ÑÐ¾ÑÑÐ¸. ÐÐ»Ñ ÑÐ¾Ð·Ð´Ð°Ð½Ð¸Ñ Ð·Ð°ÐºÑÑÑÐµÐ½Ð½Ð¾Ð³Ð¾ ÑÐµÑÐµÐ½Ð¸Ñ Ð±ÑÐ»Ð¸ ÑÐ¿ÑÐ¾ÐµÐºÑÐ¸ÑÐ¾Ð²Ð°Ð½Ñ Ð¸ Ð½Ð°Ð¿ÐµÑÐ°ÑÐ°Ð½Ñ Ð½Ð° 3-D Ð¿ÑÐ¸Ð½ÑÐµÑÐµ Ð¼Ð¾Ð´ÐµÐ»Ð¸ Ð·Ð°Ð²Ð¸ÑÑÐ¸ÑÐµÐ»Ñ, ÐºÐ¾ÑÐ¾ÑÑÐ¹ Ð¿ÑÐµÐ´ÑÑÐ°Ð²Ð»ÑÐµÑ ÑÐ¾Ð±Ð¾Ð¹ ÑÐºÑÑÑÐµÐ½Ð½ÑÑ Ð»ÐµÐ½ÑÑ Ñ Ð¿Ð¾Ð²Ð¾ÑÐ¾ÑÐ¾Ð¼ Ð½Ð° 180Âº, 270Âº Ð¸ 360Âº Ð¼ÐµÐ¶Ð´Ñ Ð²ÑÐ¾Ð´Ð½Ð¾Ð¹ Ð¸ Ð²ÑÑÐ¾Ð´Ð½Ð¾Ð¹ ÐºÑÐ¾Ð¼ÐºÐ°Ð¼Ð¸. ÐÐ»Ñ Ð¿ÑÐ¾Ð²ÐµÐ´ÐµÐ½Ð¸Ñ ÑÐ¸Ð·Ð¸ÑÐµÑÐºÐ¾Ð³Ð¾ Ð¼Ð¾Ð´ÐµÐ»Ð¸ÑÐ¾Ð²Ð°Ð½Ð¸Ñ Ð£ÐÐ Ð¼ÐµÑÐ¾Ð´Ð°Ð¼Ð¸ Ð±ÑÐ» ÑÐ¾Ð±ÑÐ°Ð½ Ð¸ Ð½Ð°ÑÑÑÐ¾ÐµÐ½ Ð¸Ð¼Ð¸ÑÐ°ÑÐ¾Ñ ÐºÑÐ¾Ð²Ð¾ÑÐ¾ÐºÐ°. Ð­ÐºÑÐ¿ÐµÑÐ¸Ð¼ÐµÐ½ÑÐ°Ð»ÑÐ½Ð¾Ðµ Ð¸ÑÑÐ»ÐµÐ´Ð¾Ð²Ð°Ð½Ð¸Ðµ Ð·Ð°ÐºÑÑÑÐµÐ½Ð½Ð¾Ð³Ð¾ ÑÐµÑÐµÐ½Ð¸Ñ Ð¿ÑÐ¾Ð²Ð¾Ð´Ð¸Ð»Ð¾ÑÑ Ð² ÑÐ¸Ð»Ð¸Ð½Ð´ÑÐ¸ÑÐµÑÐºÐ¾Ð¹ ÑÑÑÐ±ÐºÐµ Ð´Ð¸Ð°Ð¼ÐµÑÑÐ¾Ð¼ d = 6 Ð¼Ð¼, Ð´Ð»Ð¸Ð½Ð¾Ð¹ l = 20 ÑÐ¼. ÐÐ½Ð°Ð»Ð¾Ð³Ð¸ÑÐ½ÑÐµ Ð¼Ð¾Ð´ÐµÐ»Ð¸ Ð´Ð»Ñ ÑÐ¸ÑÐ»ÐµÐ½Ð½Ð¾Ð³Ð¾ Ð¼Ð¾Ð´ÐµÐ»Ð¸ÑÐ¾Ð²Ð°Ð½Ð¸Ñ Ð±ÑÐ»Ð¸ ÑÐ¿ÑÐ¾ÐµÐºÑÐ¸ÑÐ¾Ð²Ð°Ð½Ñ Ð¸ Ð¿Ð¾ÑÑÑÐ¾ÐµÐ½Ñ Ð´Ð»Ñ ÑÐ¾Ð¿Ð¾ÑÑÐ°Ð²Ð»ÐµÐ½Ð¸Ñ Ñ Ð¿ÑÐ¾Ð²ÐµÐ´ÑÐ½Ð½ÑÐ¼Ð¸ ÑÐºÑÐ¿ÐµÑÐ¸Ð¼ÐµÐ½ÑÐ°Ð¼Ð¸. ÐÑÐ¿Ð¾Ð»Ð½ÐµÐ½Ñ Ð¿Ð°ÑÐ°Ð¼ÐµÑÑÐ¸ÑÐµÑÐºÐ¸Ðµ ÑÐ°ÑÑÑÑÑ Ð·Ð°ÐºÑÑÑÐµÐ½Ð½Ð¾Ð³Ð¾ ÑÐµÑÐµÐ½Ð¸Ñ Ð¿ÑÐ¸ Ð·Ð°Ð´Ð°Ð½Ð½ÑÑ Ð¿Ð°ÑÐ°Ð¼ÐµÑÑÐ°Ñ, ÐºÐ¾ÑÐ¾ÑÑÐµ Ð¿Ð¾Ð·Ð²Ð¾Ð»Ð¸Ð»Ð¸ Ð¿Ð¾Ð»ÑÑÐ¸ÑÑ Ð½Ð¾Ð²ÑÐµ Ð´Ð°Ð½Ð½ÑÐµ Ð¿Ð¾ ÑÑÑÑÐºÑÑÑÐµ ÑÐµÑÐµÐ½Ð¸Ñ, Ð²ÑÐ²ÐµÐ´ÐµÐ½Ñ Ð·Ð½Ð°ÑÐµÐ½Ð¸Ñ Ð¸Ð½ÑÐµÐ³ÑÐ°Ð»ÑÐ½Ð¾Ð³Ð¾ Ð¿Ð°ÑÐ°Ð¼ÐµÑÑÐ° Ð·Ð°ÐºÑÑÑÐºÐ¸, Ð½Ð°Ð³Ð»ÑÐ´Ð½Ð¾ Ð¿ÑÐµÐ´ÑÑÐ°Ð²Ð»ÐµÐ½Ð° ÑÑÑÑÐºÑÑÑÐ° ÑÐµÑÐµÐ½Ð¸Ð¹. Ð ÑÐµÐ·ÑÐ»ÑÑÐ°ÑÐµ ÑÐ°Ð±Ð¾ÑÑ Ð±ÑÐ»Ð¸ Ð¿ÑÐ¾Ð°Ð½Ð°Ð»Ð¸Ð·Ð¸ÑÐ¾Ð²Ð°Ð½Ñ ÑÐµÐ·ÑÐ»ÑÑÐ°ÑÑ ÑÐ¸ÑÐ»ÐµÐ½Ð½Ð¾Ð³Ð¾ Ð¸ ÑÐ¸Ð·Ð¸ÑÐµÑÐºÐ¾Ð³Ð¾ Ð¼Ð¾Ð´ÐµÐ»Ð¸ÑÐ¾Ð²Ð°Ð½Ð¸Ñ Ð·Ð°ÐºÑÑÑÐµÐ½Ð½Ð¾Ð³Ð¾ ÑÐµÑÐµÐ½Ð¸Ñ, ÑÐ°ÐºÐ¶Ðµ Ð±ÑÐ»Ð¸ ÑÐ¾Ð¿Ð¾ÑÑÐ°Ð²Ð»ÐµÐ½Ñ ÑÐµÐ·ÑÐ»ÑÑÐ°ÑÑ Ð¿ÑÐ¾Ð²ÐµÐ´ÑÐ½Ð½ÑÑ ÑÐºÑÐ¿ÐµÑÐ¸Ð¼ÐµÐ½ÑÐ¾Ð² Ð¾ÑÐ½Ð¾ÑÐ¸ÑÐµÐ»ÑÐ½Ð¾ ÑÐ¸ÑÐ»ÐµÐ½Ð½ÑÑ ÑÐ°ÑÑÑÑÐ¾Ð².
description: The work is dedicated to the study of the structure of swirling flow and the mastering of measurement techniques for flow characteristics in a blood vessel model using the ultrasonic Doppler method. It includes the analysis of flow structure over a wide range of Reynolds numbers (Re = 100 - 2000) with varying degrees of flow swirl. One of the key objectives of this work is to evaluate the accuracy of the ultrasonic Doppler method in determining velocity components. To create swirling flow, vortex generator models were designed and 3D-printed, representing twisted tapes with rotations of 180Âº, 270Âº, and 360Âº between the inlet and outlet edges. For the physical modeling using the US methods, a flow simulator was assembled and calibrated. The experimental study of swirling flow was conducted in a cylindrical tube with a diameter of d = 6 mm and a length of l = 20 cm. Similar models for numerical simulations were designed and constructed for comparison with the experimental results. Parametric calculations of swirling flow were performed under specified parameters, providing new data on flow structure, and obtaining values of the integral swirl parameter. The flow structure was visually presented, and the results of numerical and physical modeling of swirling flow were analyzed and compared.