What are the two viscosity coefficients involved in the relationship between stress tensor and strain rate of fluids?
6. What are the two viscosity coefficients involved in the relationship between stress tensor and strain rate of fluids? Explanation: The two viscosities involved in stress train relationship of fluids is dynamic viscosity coefficient and bulk viscosity coefficient.
What is strain rate in fluid mechanics?
Strain rate is the change in strain (deformation) of a material with respect to time. It comprises both the rate at which the material is expanding or shrinking (expansion rate), and also the rate at which it is being deformed by progressive shearing without changing its volume (shear rate).
Is the strain rate tensor symmetric?
The strain rate tensor and the rotation rate tensors are the symmetric and antisymmetric parts of the velocity gradient tensor, respectively. In what follows, we will consider incompressible flow, when the tensor is a deviator by virtue of the continuity equation that satisfies the extra condition .
What is a strain tensor?
The Strain Tensor Strain is defined as the relative change in the position of points within a body that has undergone deformation. The classic example in two dimensions is of the square which has been deformed to a parallelepiped.
What is Couette flow in fluid mechanics?
In fluid dynamics, Couette flow is the flow of a viscous fluid in the space between two surfaces, one of which is moving tangentially relative to the other. The relative motion of the surfaces imposes a shear stress on the fluid and induces flow.
What is elasticity tensor?
The Hooke’s law relationship between stress and strain, each of which are 2nd rank tensors, so that the elasticity tensor is a 4th rank tensor. …
Is spin a tensor?
In mathematics, mathematical physics, and theoretical physics, the spin tensor is a quantity used to describe the rotational motion of particles in spacetime. The tensor has application in general relativity and special relativity, as well as quantum mechanics, relativistic quantum mechanics, and quantum field theory.
What is simple Couette flow?
Couette flow is defined as the two-dimensional steady laminar flow between two concentric infinitely long cylinders that rotate with angular velocities Ω1 and Ω2.
What is strain tensor?
Why strain is a tensor?
Strain, like stress, is a tensor. And like stress, strain is a tensor simply because it obeys the standard coordinate transformation principles of tensors. It can be written in any of several different forms as follows. They are all identical.