Research output: Contribution to journal › Article › peer-review
Role of nonequilibrium nonlocality and memory effects in structure formation of dynamically deformable media. 2. Nonstationary shear flow of structural media. / Khantuleva, T. A.; Meshcheryakov, Yu I.
In: Russian Physics Journal, Vol. 43, No. 9, 01.01.2000, p. 774-783.Research output: Contribution to journal › Article › peer-review
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TY - JOUR
T1 - Role of nonequilibrium nonlocality and memory effects in structure formation of dynamically deformable media. 2. Nonstationary shear flow of structural media
AU - Khantuleva, T. A.
AU - Meshcheryakov, Yu I.
PY - 2000/1/1
Y1 - 2000/1/1
N2 - Based on the mathematical apparatus of nonlocal hydrodynamics developed in Part 1 of the present paper, a specific problem of nonstationary motion of a flat plate in an incompressible liquid (the generalized Rayleigh problem) is solved. The solutions obtained are used to describe nonuniform motion of a viscous structural medium. It is demonstrated that in the case where the structural elements of the medium move with acceleration relative to each other, the kinematics of the flow on the mesoscale level (0.1-10 pm) is a vortex one. In this case, the scale of rotational cells is directly proportional to the difference between accelerations of neighboring mesovolumes. If the motion of mesovolumes is characterized only by the difference between their velocities, its character is a purely shear one. These results agree well with the experimental data on high-speed deformation of materials presented in this work. ©2000 Plenum Publishing Corporation.
AB - Based on the mathematical apparatus of nonlocal hydrodynamics developed in Part 1 of the present paper, a specific problem of nonstationary motion of a flat plate in an incompressible liquid (the generalized Rayleigh problem) is solved. The solutions obtained are used to describe nonuniform motion of a viscous structural medium. It is demonstrated that in the case where the structural elements of the medium move with acceleration relative to each other, the kinematics of the flow on the mesoscale level (0.1-10 pm) is a vortex one. In this case, the scale of rotational cells is directly proportional to the difference between accelerations of neighboring mesovolumes. If the motion of mesovolumes is characterized only by the difference between their velocities, its character is a purely shear one. These results agree well with the experimental data on high-speed deformation of materials presented in this work. ©2000 Plenum Publishing Corporation.
UR - http://www.scopus.com/inward/record.url?scp=52849093042&partnerID=8YFLogxK
U2 - 10.1023/A:1009436104882
DO - 10.1023/A:1009436104882
M3 - Article
AN - SCOPUS:52849093042
VL - 43
SP - 774
EP - 783
JO - Russian Physics Journal
JF - Russian Physics Journal
SN - 1064-8887
IS - 9
ER -
ID: 120174150