The relative motion of a particle along an inclined plane in a moving coordinate system is considered. The moving system is an accompanying Frenet trihedron that circles along a plane curve, i.e., revolves around a vertical axis. The Frenet formulas are used to derive a system of differential...
A new boundary-integral algorithm for the motion of a particle between two parallel plane walls in Poiseuille flow at low Reynolds number was developed to study the translational and rotational velocities for a broad range of particle sizes and depths in the channel. Instead of the free-space Gr...
The inertial motion of a free particle on a β-plane is studied here. Analytical solutions are found, and discussed in a phase diagram. Asymptotic cases are also given some attention. Eastward and westward drift velocities are computed analytically as a function of the parameter β and an angle...
a particle moving on the plane, the equation of motion is XOY 。The equation of motion is x=3t+5, y=1/2t2+3t-4(SI)(1) The position vectors at time t = 1s and time t = 2s are obtained, and the position shifts of these prime points in 1 second are calculated; (2) Calculate...
普通物理英语课件04_2D_Motion.pdf,Motion in Two and Three Dimensions: Vectors Physics 1425 Lecture 4 Michael Fowler, UVa. Today’s Topics • In the previous lecture, we analyzed the motion of a particle moving vertically under gravity. • In this lect
In this study, we approach a spherical particle in plane Couette fluid flow problem utilizing Adomian's decomposition method (ADM) as well as variational iteration method (VIM) to find a rapidly convergent power series solution. Equation of particle's motion in Couette flow considering the ...
The aim of this paper is to develop a 3D numerical model for the problem of a porous body, moving both parallel with and toward (perpendicular to) a plane interface between two similar fluids. The ratio of the viscosity of the fluids at the interface will be altered to test the validity...
The white crossed arrows represent the polarizers, and the yellow arrow represent the optical axis of the λ-plate. e The schematic director structure of a directron in the middle layer of the chiral nematic sample. f The schematic director structure of a directron in the yz plane of the ...
Example:Aparticlemovesinthexyplanesothatitsxandycoordinatesvarywithtimeaccordingtox(t)=Rcosωtandy(t)=Rsinωt.Findtheequationofitspath.2.Displacement z At trajectory SupposetheparticleislocatedatpositionAattimerr(t)r1Bt+Δtt1,anditmovesalongitspathtopositionBattimet2(t+...
In order to investigate the relationship between the initial position and transport characteristics of inhalable particle in airway, this paper constructs the generation 3 to 5 airway model based on Weibel's 23 generations pulmonary structure. Computational fluid dynamics-discrete element method (CFD-DEM...