Search results
Results From The WOW.Com Content Network
This function represents half of the rate of energy dissipation of the system through friction. The force of friction is negative the velocity gradient of the dissipation function, F → f = − ∇ v R ( v ) {\displaystyle {\vec {F}}_{f}=-\nabla _{v}R(v)} , analogous to a force being equal to the negative position gradient of a potential.
It is seen from the figure that finger characteristics such as width, evolution pattern are a function of Rayleigh numbers. Double diffusive convection is a fluid dynamics phenomenon that describes a form of convection driven by two different density gradients, which have different rates of diffusion. [2]
Rayleigh (1873) [38] (and in Sections 81 and 345 of Rayleigh (1896/1926) [28]) introduced the dissipation function for the description of dissipative processes involving viscosity. More general versions of this function have been used by many subsequent investigators of the nature of dissipative processes and dynamical structures.
Dissipation function may refer to Rayleigh's dissipation function; Dissipation function under the fluctuation theorem This page was last edited on 28 ...
The number of parameters in the Duffing equation can be reduced by two through scaling (in accord with the Buckingham π theorem), e.g. the excursion and time can be scaled as: [2] = and = /, assuming is positive (other scalings are possible for different ranges of the parameters, or for different emphasis in the problem studied).
One example where the Rayleigh distribution naturally arises is when wind velocity is analyzed in two dimensions. Assuming that each component is uncorrelated , normally distributed with equal variance , and zero mean , which is infrequent, then the overall wind speed ( vector magnitude) will be characterized by a Rayleigh distribution.
Three examples of droplet detachment for different fluids: (left) water, (center) glycerol, (right) a solution of PEG in water. In fluid dynamics, the Plateau–Rayleigh instability, often just called the Rayleigh instability, explains why and how a falling stream of fluid breaks up into smaller packets with the same total volume but less surface area per droplet.
One approach to handling Loschmidt's paradox is the fluctuation theorem, derived heuristically by Denis Evans and Debra Searles, which gives a numerical estimate of the probability that a system away from equilibrium will have a certain value for the dissipation function (often an entropy like property) over a certain amount of time. [5]