A way to estimate the discharge of the melt jet flowing out of a melting furnace

A way to estimate the discharge of melt jet flowing out of a melting furnace is examined. We analyze the efficiency of algorithms for image matching in order to estimate the jet velocity. To decrease the time needed for estimating the 2D motion of melt flow, it is suggested to calculate the shift of 2D images according to two independent 1D projections. This approach makes it possible to estimate on-line the flow rate and to do it in television standard. © 2013 Pleiades Publishing, Ltd

Modified Gibbs's representation of rotation matrix

A modified Gibbs's rotation matrix is derived and the connection with the Euler angles, quaternions, and Cayley$-$Klein parameters is established. As particular cases, the Rodrigues and Gibbs parameterizations of the rotation are obtained. The composition law of two rotations from the quaternion representation is presented showing a convenient expression for calculating the successive rotations.Comment: 17 page

A dense Bose fluid at zero temperature: condensation and clusters in liquid He-4

We present a full set of wave equations describing a dense Bose fluid, applicable both to non- ideal gases and to liquid 4He. The phonon spectrum in liquid 4He is found and the fraction of condensed particles is calculated at zero temperature for a wide range of densities. The theory also yields the ground-state energy for the quantum liquid 4He in agreement to high accuracy with Monte Carlo simulations and experimental data at low pressure. We also present the derivation of a generalized Hartree-Fock equation describing roton clusters in low temperature liquid 4He, allowing us to confirm that, at low enough temperatures and for a wide range of pressures, the stable clusters consist of 13 bound atoms.Comment: 16 pages, 7 figure

Comparative analysis of correlation shift discriminators

A comparative analysis of correlation shift discriminators is carried out regarding the stabilization accuracy of their discriminator curve (DC). A modification of the classical correlation discriminator is proposed that provides higher accuracy of estimating a shift between signals. It is shown that the modified discriminator is free of "edge effects." © 2013 Pleiades Publishing, Ltd