We develop a geometric formulation of fluid dynamics, valid on arbitrary Riemannian manifolds, that regards the momentum-flux and stress tensors as 1-form-valued 2-forms, and their divergence as a covariant exterior derivative. We review the necessary tools of differential geometry and obtain the ...
Skew-symmetric couple-stress fluid mechanicsStress TensorConstitutive RelationCurvature RateCouple StressEssential Boundary ConditionThere can be no doubt as to the importance of vortical motion in fluid mechanics. Yet, very little attention is given typically to the balance law of angular momentum and ...
The stress tensor in a granular shear flow is calculated by supposing that binary collisions between the particles comprising the granular mass are responsible for most of the momentum transport. We assume that the particles are smooth, ... SB Savage,DJ Jeffrey - 《Journal of Fluid Mechanics》 ...
Eddies(Fluid mechanics)StressesTensorsTurbulenceInequalitiesComputational fluid dynamicsComputerized simulationCompressible flowMathematical modelsSpatial filteringThe turbulent stress tensor in Large Eddy Simulation is examined from atheoretical point of view. Inequalities for the components of this tensor are ...
9 RegisterLog in Sign up with one click: Facebook Twitter Google Share on Facebook stress difference [′stres ‚dif·rəns] (mechanics) The difference between the greatest and the least of the three principal stresses. McGraw-Hill Dictionary of Scientific & Technical Terms, 6E, Copyright ...
Using the expressions of the principal values of the strain rate tensor in this sector in conjunction with Eq. (2.61), it can be easily seen that: (2.62)R(γ)=ε¯˙62(13cos(γ)+sin(γ)), where ε¯˙ denotes the axial strain rate in uniaxial tension. Therefore, the cross ...
Send Private MessageFlag post as spam Hi I am trying to calculate Total Stress Tensor in a fluid.i know that: Total Stress = -pI+Shear Stress(or viscous stress) I want to know what this pressure is in this equation for moving fluids however this pressure is static or hydrostatic pressure...
For this last case, the antisymmetric stress component vanishes, but the Cauchy principle proves nevertheless useful to derive in a straightforward way known results and to clarify their physical nature. 展开 关键词: Hydrodynamics Viscosity Tensor methods Angular momentum Reynolds stress modeling ...
This principle is implicitly used in soil mechanics through the classical Terzaghi’s effective stress tensor. However, in cohesive rock-like materials, the validity of such a principle is so far neither theoretically nor experimentally fully proven. Some micromechanical studies have been undertaken and...
Bernt Aadnøy, Reza Looyeh, in Petroleum Rock Mechanics, 2011 11.9.2.1 The Overburden Stress The fracture pressure of a borehole depends on the in-situ stress state, which is defined in terms of a 3-parameter tensor; the overburden stress σv and the two horizontal stresses σH and σ...