Based on the actual force distribution, the equation of motion is also solved numerically to arrive at the time history of displacement and velocity of inner core. With respect to the proposed formulations, comprehensive studies on the variations of potential energy and force distribution are carried...
Finally, based on the elaborate energy estimates for the nonlinear system and L~p-L~q decay estimates of the linearized equation, we show the optimal convergence rates of the solution in L~q-norm with 2≤q≤6 and its first derivative in L~2-norm when the initial perturbation is bounded ...
Thegravitational forceapplying on each particle travelling in the fluid can be calculated by the following equation[125]: (10)Fg=mpg(ρp-ρ)ρp where,grepresents the acceleration caused by gravity. Selecting a proper direction for the gravitational force on the particles depends on the geometry ...
In describing KJL modeling, we illustrate the basic energy balance equation which indicates the interaction aspect from a contact point of view. The various processes can be briefly characterized by one or several items as follows: ■ plastic deformations and micro-cutting; ■ visco-elastic ...
You willcollect potential energy vs. position data while the cart is accelerating down the track andutilize a graph of this data to develop a mathematical expression for the potential energy as a function of position. This equation will allow you to determine the force acting on the cart ...
分子间作用力（Intermolecularforce）分子间作用力（Intermolecular force）Intermolecular force Help edit an encyclopedia Intermolecular force The intermolecular force, also known as the Fan Dehua force, is, in essence, an electrical attraction, so the origin of the intermolecular force is investigated by ...
Slip bond is commonly modeled by the Bell equation17, which assumes the off-rate k of a molecular bond dissociating along a single pathway in a one-dimensional (1D), single-well energy landscape to be an exponential function of force, \(k\left(F\right)={k}_{0}{e}^{\frac{{\delta ...
(approximately) solving the Schrödinger equation (SE), which describes the physical laws governing chemical systems3. Unfortunately, the computational cost of accurate ab initio approaches4makes them impractical when many atoms are studied, or the simulation involves thousands (or even millions) of ...
Equation (2.58) characterizes the capillary rise; note that the capillary rise can be important. What is the corresponding capillary force? The capillary force balances the weight of the liquid in the tube. This weight is given by: F=ρgπR2h. Replacing h by its value from Eq. (2.54),...
Let the length of the pipe beLand the radius of the circular cross section equal toa, andL≫a, as shown inFig. 3.4. Ifz-axis is taken along the centroid of the pipe,Eq. (3.5)is the only equation to be used to decide the flow. ...