doi:10.1016/0021-8928(67)90071-8A.T. ListrovElsevier LtdJournal of Applied Mathematics and MechanicsListov A (1967) Model of a viscous fluid with an antisymmetric stress tensor. PMM J Appl Math Mech 31:112-115 (in Russian)
It is the product of the viscous stress acting on a fluid element and the deformation rate of a fluid element, and represents the viscous work put into fluid element deformation. From: Fluid Mechanics (Fifth Edition), 2012 About this pageSet alert Discover other topics On this page Definition...
appears in the stress tensor term (right side of equation 3), which has to do with the compressibility ( ) of the bulk fluid. This factor is difficult to measure and often depends on the frequency. Heat capacity at constant pressure (specific), This material parameter measures how much ener...
Estimation of the Reynolds stress, which is a component of the stress tensor derived using the Reynolds-averaged Navier-Stokes (RANS) technique, has been employed when analyzing turbulent effects on blood constituents in flows through prosthetic valves14–16. However, the Reynolds stress is a ...
In classical two-dimensional fluid mechanics, this may lead to a phenomenon referred as the “Stokes paradox”: no solution of the Stokes equations can be found for which fluid velocity satisfies both the boundary conditions on the body and at infinity33. Recently an electronic analog of the ...
The notation \({\mathbb {T}}(v,q)\) is used for the stress tensor \({\mathbb {T}}(v,q):= 2 \nu {\mathbb {D}}(v)-p {\mathbb {I}}\), where \({\mathbb {D}}(v) = \frac{1}{2} \left( \nabla v + (\nabla v)^\top \right) \) and \({\mathbb {I}}\in {{...
and fluid mechanics in the framework of a consistent tensor notation. 1.3State of the art Mean-field homogenization is an established method in solid mechanics to determine the effective behavior of microstructured heterogeneous materials. In general, mean-field approaches consist of bounding and ...
Hill & Power and also Kearsley proved the corresponding reciprocal maximum principle involving the stress tensor. We prove generalizations of both these principles to the flow of a liquid containing one or more solid bodies and drops of another liquid. The essential point in doing this is to ...
The linearized Navier–Stokes equation (2.1) can be written in the form ρ0 ∂v ∂t = ∇ ·σ + Sδ(r)δ(t), where σ is the stress tensor σ = −p′1 + 2ηe˚ + ηv(∇ · v)1, with the symmetric traceless rate of strain tensor (3.1) (3.2) e˚ = 1 (...
The interaction is the adherence of the fluid to the immersed structures, which drag it while moving as rigid bodies. To get solutions of the dynamical problem, we need a model of viscous fluid slightly more general than the Newtonian one, in which the Cauchy stress tensor depends upon ...