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Activated carbon was prepared from Enteromorpha prolifera by zinc chloride activation. The adsorption behaviors
of three reactive dyes (Reactive Red 23, Reactive Blue 171 and Reactive Blue 4)
onto this biomass activated carbon were investigated in batch systems. The
experimental findings showed that the removal efficiencies of three dyes onto
activated carbon were maximum
at the initial solution pH of 4.5 - 6.0. Thermodynamic studies suggested
that adsorption reaction was an endothermic and spontaneous process. Adsorption
isotherm of the three dyes obeyed Freundlich isotherm modal. Dye adsorption capacities of activated carbon were
59.88, 71.94 and 131.93 mg·g?1 for RR23, RB171 and RB4 at 27?C, respectively. Second-order
kinetic models fitted better to the equilibrium data of three dyes. The adsorption process on activated carbon
was mainly controlled by intraparticle diffusion mechanism.
The PLIC/SN method that combines the second-order volume tracking method (PLIC-VOF) with the equation of surface normal (SN) vector was recently proposed (M. Sun, “Volume Tracking of Subgrid Particles,” International Journal for Numerical Methods in Fluids, Vol. 66, No. 12, 2011, pp. 1530-1554). The method is able to track the motion of a subgrid particle, but the accuracy is not as good as expected on high resolution grids for vortical flows. In this paper, a simple unsplit multidimensional advection algorithm is coupled with the equation of SN vector. The advection algorithm is formulated as the finite volume method, so that it can be used readily for both structured and unstructured grids while maintaining the exact mass conservation. The new method improves the accuracy significantly for high resolution grids. In the well-known test of the time-resolved vortex problem of T = 2, the circular interface is resolved with an accuracy better than ever using the equation of SN vector.
In this paper, several existence results of
multiple positive solutions are obtained for a boundary value problem with
p-Laplacian, by applying a fixed point theorem in cones. The interesting point
is that the nonlinear term f is involved with the first-order derivative explicitly.
Several classes of permutation polynomials
of the form
over finite fields are
presented in this paper, which is a further investigation on a recent work of
Li et al.