(Mathematics) a conic section formed by the intersection of a cone by a plane parallel to its side. Standard equation:y2= 4ax, where 2ais the distance between focus and directrix [C16: via New Latin from Greekparabolēa setting alongside; see parable] ...
The SIMPLE algorithm is used for coupling between the velocity and pressure fields. The second-order central difference scheme (CDS) is applied for the discretization of the diffusive terms in all equations and of convective terms in 〈U, V, W, T〉 equations (T-RANS, LES and HYBRID ...
center of the pipe to any point in the fluid, a the mean radius of the pipe, c the sound velocity in the fluid inside the pipe, ω the radian frequency of the sound, x the longitudinal distance from the disturbance to any point in the fluid, and zt the impedance of the pipe such ...
To calculate the distance covered at constant acceleration during a certain time, you can use the following classical formula: d=12at2d=21at2 Since acceleration is constant, and we assume that the initial velocity equals zero, you can estimate the maximum velocity using this equation: v=atv=at...
xx –Position of that point (its distance from the source); tt –Time point; vv –Wave velocity; λλ –Wavelength; AA –Amplitude; and ϕϕ –Initial phase of the wave. Harmonic wave: an example of calculations Let's assume that you want to find out what the wavelength of a cert...
For a state to state transfer, we derive a family of control fields depending upon two free parameters, which allow us to adjust the efficiency, the time and the robustness of the control process. As an illustrative example, we consider the quantum analog of the tennis racket effect, which ...
If the actions of the floor in constraining the normal velocity of the sound field to zero, and in exerting reaction forces on the air, are to be represented by ‘sources’ acting on this plane in free space, instead of by a boundarycondition on a bounded space, they must appear on ...
Given the work-energy theorem, relating force F and the differential distance Δx over which it acts give differential kinetic energy ΔK: (38)ΔK=FΔx. Substitution into Eq. 38 for the change of kinetic energy ΔK in terms of change in potential energy ΔV of Eq. 37 gives (39)F=...
These scaling parameters are used to make the proposed equations dimensionless and, enable us to describe the models of the general time, length, and velocity scales parameters [5]. The second section consists of questions associated with the Method of Characteristics, which is the respective ...
The measurement of unsaturated soil properties such as shear strength and matric suction could be costly, hard, time-consuming, and often impractical to obtain. The purpose of this research is to propose a new shear strength model for unsaturated soil and to predict the shear strength by using ...