561 research outputs found
Bilinear Identities and Hirota's Bilinear Forms for an Extended Kadomtsev-Petviashvili Hierarchy
In this paper, we construct the bilinear identities for the wave functions of
an extended Kadomtsev-Petviashvili (KP) hierarchy, which is the KP hierarchy
with particular extended flows (2008, Phys. Lett. A, 372: 3819). By introducing
an auxiliary parameter (denoted by ), whose flow corresponds to the
so-called squared eigenfunction symmetry of KP hierarchy, we find the
tau-function for this extended KP hierarchy. It is shown that the bilinear
identities will generate all the Hirota's bilinear equations for the
zero-curvature forms of the extended KP hierarchy, which includes two types of
KP equation with self-consistent sources (KPSCS). It seems that the Hirota's
bilinear equations obtained in this paper for KPSCS are in a simpler form by
comparing with the results by Hu and Wang (2007, Inverse Problems, 23: 1433).Comment: 23 pages, submitted to JNM
The capability enhancement of aluminium casting process by application of the novel CRIMSON method
The conventional foundry not only frequently uses batch melting, where the aluminium
alloys are melted and held in a furnace for long time, sometimes as long as a complete shift,
but also uses the gravity sand casting process where the molten aluminium alloys are
transferred using a ladle from furnace to pour station and are poured into a mould. During the
filling of the mould, the turbulent nature of the liquid metal gives rise to massive entrainment
of the surface oxide films which are the subsequently trapped into the liquid and act as micro
cracks. Also the long exposure time of the liquid surface to the surrounding environment
during melting, transferring and filling will increase the level of hydrogen absorption from
the atmosphere. The abovementioned factors are often the main reasons for casting defect
generation. In this paper the novel CRIMSON aluminium casting method is introduced which
has a number of advantages. Instead of gravity filling method, it uses the single shot upcasting
method to realize the rapid melting and rapid counter-gravity-filling mould operations
which reduce the contact time between the melt and environment thus reducing the
possibility of defect generation. Another advantage is the drastic reduction of energy
consumption due to shortened melting and filling time. A simulation software, FLOW-3D, is
used to compare this new method with the conventional gravity casting process. A tensile bar
case is used as a sample to simulate the filling process
Hydrogen storage in pillared Li-dispersed boron carbide nanotubes
Ab initio density-functional theory study suggests that pillared Li-dispersed
boron carbide nanotubes is capable of storing hydrogen with a mass density
higher than 6.0 weight% and a volumetric density higher than 45 g/L. The boron
substitution in carbon nanotube greatly enhances the binding energy of Li atom
to the nanotube, and this binding energy (~ 2.7 eV) is greater than the
cohesive energy of lithium metal (~1.7 eV), preventing lithium from aggregation
(or segregation) at high lithium doping concentration. The adsorption energy of
hydrogen on the Li-dispersed boron carbide nanotube is in the range of 10 ~24
kJ/mol, suitable for reversible H2 adsorption/desorption at room temperature
and near ambient pressure.Comment: 17 pages, 4 figure
The improvement of aluminium casting process control by application of the new CRIMSON process
All The traditional foundry usually not only uses batch melting where the
aluminium alloys are melted and held in a furnace for long time, but also uses
the gravity filling method in both Sand Casting Process (SCP) and Investment
Casting Process (ICP). In the gravity filling operation, the turbulent behaviour
of the liquid metal causes substantial entrainment of the surface oxide films
which are subsequently trapped into the liquid and generate micro cracks and
casting defects. In this paper a new CRIMSON process is introduced which
features instead of gravity filling method, using the single shot up-casting
method to realize the rapid melting and rapid filling mould operations which
reduce the contact time between the melt and environment thus reducing the
possibility of defect generation. Another advantage of the new process is the
drastic reduction of energy consumption due to shortened melting and filling
time. Two types of casting samples from SCP and ICP were compared with the new
process. The commercial software was used to simulate the filling and
solidification processes of the casting samples. The results show that the new
process has a more improved behaviour during filling a mould and solidification
than the two conventional casting processes
- …