The formulation is based on the representation of the velocity potential by a doublet distribution over the body surface, and is realized by replacing the original surface boundary condition of the vanishing normal velocity component with the equivalent condition of the quiescent flow in the region ...
Tellurite molybdenum quaternary oxides, a family of van der Waals materials, show slow group velocity and long lifetimes with promising implications for tunable low-loss anisotropic polaritonics. Tian Sun ,Runkun Chen &Peining Li Article|29 January 2024 ...
Path planning is one of the most critical issues in many related fields including UAVs. Many researchers have addressed this problem according to different conditions and limitations, but modelling the 3-D space and routing with an evolutional algorithm
This definition of the 4th-order cumulant for zero time-lags comes from a combinational relationship among the cumulants of stochastic signals and their moments, and is given by the Leonov–Shiryaev formula, previously described in Eq. (6). The “minus 3” at the end of Eq. (21) acts as...
Predicting transport coefficients, as a main task of the near-equilibrium statistical mechanics, was formally fulfilled in the 1960-1970s, Green-Kubo formula which bridges the states of equilibrium and nonequilibrium. The Green-Kubo formula has played a crucial role in understanding nonequilibrium ...
In this paper, we derive the - breather solution in the determinant form for the - dimensional elliptic Toda equation via B¤cklund transformation and nonlinear superposition formulae. The lump solutions of the - dimensional elliptic Toda equation are derived from the breather solutions through the...
Water wave generation procedures and efficient numerical beaches are crucial components of a fully non-linear numerical tank for water wave simulations. Linear formulae for pneumatic wave makers are optimized for efficient fully non-linear wave generation in three dimensions. Analytical integration of the...
When studying wave processes in porous media with boundaries, a simpler one-velocity model of continuum is often used because of the complexity of the problem. Let us briefly consider the methods for solving these problems. The Fourier method makes it possible to investigate the problem of the...
where νr is the normal relative velocity vector of the centers in two contacting particles. Commonly, the normal contact damping coefficient cr is treated as a fraction of the critical damping coefficient Cr of the system composed of two rigid bodies: 𝐶𝑟=2𝑚1𝑚2𝑘𝑛𝑚1+𝑚2...
Example 1:Using dimensional formula, Q = MaLbTc, find the values of a, b, and c if the given quantity is velocity. Solution: To find: Values for a, b, and c Given: Quantity = Velocity Using the dimensional formula, Q = MaLbTc ...