Classification of trajectories of the plane-parallel motion of an axisymmetric body in a strong medium with flow separation

2002 ◽  
Vol 47 (9) ◽  
pp. 693-697 ◽  
Author(s):  
I. V. Simonov
Keyword(s):  
Flow Separation ◽  
Axisymmetric Body ◽  
Plane Parallel ◽  
Parallel Motion

Topology of Flow Separation on Three-Dimensional Bodies

1991 ◽  
Vol 44 (7) ◽  
pp. 329-345 ◽  
Author(s):  
Gary T. Chapman ◽  
Leslie A. Yates
Keyword(s):  
Skin Friction ◽  
Flow Separation ◽  
Three Dimensional ◽  
Phenomenological Approach ◽  
Three Dimensional Flow ◽  
The Past ◽  
Different Types ◽  
Primary Separation ◽  
Actual Flow

In recent years there has been extensive research on three-dimensional flow separation. There are two different approaches: the phenomenological approach and a mathematical approach using topology. These two approaches are reviewed briefly and the shortcomings of some of the past works are discussed. A comprehensive approach applicable to incompressible and compressible steady-state flows as well as incompressible unsteady flow is then presented. The approach is similar to earlier topological approaches to separation but is more complete and in some cases adds more emphasis to certain points than in the past. To assist in the classification of various types of flow, nomenclature is introduced to describe the skin-friction portraits on the surface. This method of classification is then demonstrated on several categories of flow to illustrate particular points as well as the diversity of flow separation. The categories include attached, two-dimensional separation and three different types of simple, three-dimensional primary separation, secondary separation, and compound separation. Hypothetical experiments are utilized to illustrate the topological terminology and its role in characterizing these flows. These hypothetical experiments use colored oil injected onto the surface at singular points in the skin-friction portrait. Actual flow-visualization information, if available, is used to corroborate the hypothetical examples.

scholarly journals Cases of integrability corresponding to the pendulummotion on the plane

2017 ◽  
Vol 21 (10) ◽  
pp. 91-113
Author(s):  
M.V. Shamolin
Keyword(s):  
Rigid Body ◽  
Force Field ◽  
Invariant Form ◽  
Motion Equations ◽  
Plane Parallel ◽  
Free Rigid Body ◽  
Parallel Motion ◽  
Tracking Force ◽  
Similar Force

In this article, we systemize the results on the study of plane-parallel motion equations of fixed rigid body-pendulum which is placed in certain nonconserva- tive force field. In parallel, we consider the problem of a plane-parallel motion of a free rigid body which is also placed in a similar force field. Thus, the non-conservative tracking force operates onto this body. That force forces the value of certain point of a body to be constant for all the time of a motion, which means the existence of nonintegrable servoconstraint in the system. The obtained results are systematized and served in the invariant form. We also show the nontrivial topological and mechanical analogies.

scholarly journals Dynamics of a rigid rotor in the elastic bearings

2004 ◽  
Vol 31 (1) ◽  
pp. 73-83 ◽  
Author(s):  
Inga Arkhipova
Keyword(s):  
Linear System ◽  
Mechanical System ◽  
Degrees Of Freedom ◽  
Rotation Frequency ◽  
Rigid Rotor ◽  
Plane Parallel ◽  
Vertical Rotor ◽  
Parallel Motion ◽  
Non Linear ◽  
Unlimited Growth

As a rule in the studies of a rigid rotor in the elastic bearings the authors consider the linear system corresponding to the plane-parallel motion and the effect of self-centring under unlimited growth of the rotation frequency. In the present paper rotor is considered as a mechanical system with four degrees of freedom. Different motions of a statically and dynamically unbalanced vertical rotor supported in the non-linear bearings are studied.

scholarly journals OPTIONS FOR PLANE-PARALLEL MOVEMENT OF GRAINS IN A SCRAPER CONVEYOR

2020 ◽  
Vol 14 (4) ◽  
pp. 96-99
Author(s):  
Sergey Yakhin ◽  
Il'gam Masalimov ◽  
Marat Nafikov ◽  
Ramis Mardanov
Keyword(s):  
Complex Motion ◽  
Sliding Speed ◽  
Friction Forces ◽  
Plane Parallel ◽  
Parallel Movement ◽  
Parallel Motion ◽  
Touch Point ◽  
Scraper Conveyor ◽  
Instantaneous Center ◽  
Kinematic Diagram

The kinematics of plane-parallel motion of a wheat or rye grain when moving in an inclined position in a scraper conveyor is considered. A kinematic diagram of the plane-parallel motion of the grain in the scraper conveyor was compiled, the position of the instantaneous center of the flat figure was determined, and options for the movement of grain in an inclined position at various possible positions of instantaneous center were considered. The profile of the grains is outlined by an elliptical curve. The point of contact of the elliptical profile of the caryopsis with the scraper makes a complex motion, while the horizontal speed of the scraper is portable for it, the sliding speed on the surface of the scraper is relative. The speed of the touch point of the grain with the pan is horizontal. For six possible positions of the instantaneous center, the directions of the velocities of the points of contact of the grains and the friction forces acting in them are determined. Grains of wheat or rye, moved in a scraper conveyor, in some cases can make plane-parallel movement. The point of contact of the elliptical profile of the caryopsis with the scraper makes a complex motion, while the horizontal speed of the scraper is portable for it, the sliding speed on the surface of the scraper is relative. The speed of the touch point 2 of the grain with the pan is horizontal.

Study of the Rotational Motion of a Rigid Body in Profile School Elective Courses

2016 ◽  
Vol 4 (3) ◽  
pp. 40-45
Author(s):  
Харыбина ◽  
I. Kharybina ◽  
Новикова ◽  
Tatyana Novikova ◽  
Новиков ◽  
...  
Keyword(s):  
Rigid Body ◽  
Conservation Laws ◽  
Rotational Motion ◽  
School Level ◽  
Plane Parallel ◽  
Parallel Motion ◽  
Elective Courses ◽  
Formation Method ◽  
Instantaneous Center ◽  
Physics Course

The article deals with the problem of studying the rotational motion of a rigid body in a physics course at profi le school. It is proposed to supplement the study of the topic elective courses to meet the challenges of the kinematics, dynamics, conservation laws for describing plane-parallel motion of a solid body. The article gives examples of jobs on the formation method of fi nding instantaneous center of velocity, methods are provided for the activities of the students at the school level action.

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