Then adimensionless pressure and a dimensionless time group can be found. The timegroup contains the vessel volume, initial speed of sound, free area of the port, andthe ratio of specific heats. The equation is very simple and applies to all blowdowns. Examples of results of the equation ...
This paper presents numerical solution to the pressure distribution of a fluid in a hydro-dynamically lubricated journal bearing using the classical Reynolds equation that models the effect of side or end leakage i.e., there is flow in the z-direction in bearings. The finite element method was...
The attendant one - dimensional wave equation has mesmerizing harmonic properties. 伴生的一元波平衡具有迷人的和谐特性. 电影对白 The one - dimensional atmospheric model can't be solved with a page of mathematics. 一维模型是不能用一页纸的计算就找出答案的. ...
Plastic crystals as barocaloric materials exhibit the large entropy change rivalling freon, however, the limited pressure-sensitivity and large hysteresis of phase transition hinder the colossal barocaloric effect accomplished reversibly at low pressure. Here we report reversible colossal barocaloric effect at...
e, The overlap between the many-body spectral function (blue) and the power spectrum of the filter function ∣f(ω; t)∣2 determines the variance of the phase ∼ χ(t) (equation (2)). ∣f(ω; t)∣2 for both a Ramsey/DEER pulse sequence (purple) and a spin echo pulse ...
Three-dimensional, axially symmetric flow in the unsaturated zone is described by a linearized version of Richards' equation in which hydraulic conductivity and water content vary exponentially with incremental capillary pressure head relative to its air entry value (defining the interface between the ...
Numerical results on examples including the nonlinear Black-Scholes equation, the Hamilton-Jacobi-Bellman equation, and the Allen-Cahn equation suggest that the proposed algorithm is quite effective in high dimensions, in terms of both accuracy and cost. This opens up new possibilities in economics,...
Different kind of equation of states are investigated. In certain forms of the equation of state one can arrive to a picture regarding the long time behavior of density and pressure. The impact of these quantities on the evolution of temperature is also discussed....
Equations of state (EOS) have been used to calculate the temperature and pressure dependence of the density. For cumene, the EOS is from40. For DPG, the EOS is taken from ref.43. For PPE, a fit to the Tait equation from PVT data from ref.44has been used to obtain the density: ...
Solving the diffusion equation for this initial state yields exponential recovery of equilibrium n with the time constant τ = R2/D ~ 10 ms (see Methods). We emphasise that the time constant is tied to the population gradient arising from the flow velocity profile and, hence, to...