A computer simulation model is used to study the density profile and flow of a miscible gaseous fluid mixture consisting of differing constituent masses (mA = mB/3) through an open matrix. The density profile is found to decay with the height ∝ exp(−mA(B)h), consistent with the barometric height law. The flux density shows a power-law increase ∝ (pc − p) μ with μ ≃ 2.3 at the porosity 1− p abov...

We investigate the free cooling of inelastic rough spheres in the presence of Coulomb friction. Depending on the coefficients of normal restitution ǫ and Coulomb friction μ, we find qualitatively different asymptotic states. For nearly complete normal restitution (ǫ close to 1) and large μ, friction does not change the cooling properties qualitatively compared to a constant coefficient of tange...

A group invariant solution for a steady two-dimensional jet is derived by considering a linear combination of the Lie point symmetries of Prandtl’s boundary layer equations for the jet. Only two Lie point symmetries contribute to the solution and the ratio of the constants in the linear combination is determined from conservation of total momentum flux in the downstream direction. A conservatio...

As a new multicarrier modulation system, orthogonal wavelet packet multiplexing (OWPM) system also has the problem of high peak to average power ratio (PAPR). In order to resolve the problem that of high computational complexity and inadequate effect of PAPR suppression for Partial Transmit Sequence (PTS) and high BER for the method of μ-law companding transform, an algorithm of PAPR reduction ...

The debate on conservation laws in general relativity eighty years ago is reviewed and restudied. The physical meaning of the identities T μ (M)ν(x) + T μ (G)ν(x) = 0 is reexamined and new interpretations for gravitational wave are given. The conclusions of these studies are distinct from the prevalent views, it can be demonstrated that gravitational wave does not transmit energy (and momentum)...

Material volumes and material particles 2 Laws for material particles 3 Mass conservation 3 Newton’s law of (non-relativistic) linear motion 3 Newton’s law applied to angular momentum 4 First law of thermodynamics 4 Second law of thermodynamics 4 Laws for finite material volumes 5 Mass conservation 5 Motion (linear momentum) 5 Motion (angular momentum) 6 First law of thermodynamics 6 Second law...

The size of the shock-layer governed by a conservation law is studied. The conservation law is a parabolic reaction-convection-diffusion equation with a small parameter multiplying the diffusion term and convex flux. Rigorous upper and lower bounding functions for the solution of the conservation law are established based on maximum-principle arguments. The bounding functions demonstrate that t...

From the requirement of continuous matching of bulk metric around the point of brane collision we derive a conservation law for collisions of p-branes in (p+2)-dimensional space-time. This conservation law relates energy densities on the branes before and after the collision. Using this conservation law we are able to calculate the amount of matter produced in the collision of orbifoldfixed bra...