The excitation of ion azimuthal surface oscillations with extraordinary polarization by light ion beam is studied analytically. Beam-plasma system consists of a cylindrical metal waveguide filled partially by cold magnetized plasma and light ion flow rotating around the plasma column. Dependencies of the beam instability growth rate on the system parameters (plasma and beam densities, value of ...

For a four-component feed, Kaibel (1987) proposed a single dividing wall column (DWC) with two side-streams. We will show that an analytic minimal energy expression for the Kaibel-arrangement is straightforward to deduce based on the methods presented by Halvorsen (2001). The expression is very similar to the expression for the 3-product Petlyuk column. Minimum energy for the generalized nprodu...

The object of this paper is to identify the divided power series corresponding to the zeta measure associated to f f ,,[ r]. The first section introduces the zeta function for JF4[ T] and describes some of its interesting properties. In the second section, we describe results on interpolations and measures and state our main result (Theorem VII). The third section summarizes various results abo...

In this paper, a function involving the divided difference of the psi function is proved to be completely monotonic, a class of inequalities involving sums is found, and an equivalent relation between complete monotonicity and one of the class of inequalities is established. 2000 Mathematics subject classification: primary 33B15, 26D15; secondary 26A48, 26A51.

A class of functions involving the divided differences of the psi function and the polygamma functions and originating from Kershaw’s double inequality are proved to be completely monotonic. As applications of these results, the monotonicity and convexity of a function involving ratio of two gamma functions and originating from establishment of the best upper and lower bounds in Kershaw’s doubl...

Batch tests and column tests were performed to determine the design factors for permeable reactive barriers (PRBs) against the contaminated groundwater by ammonium and heavy metals. Clinoptilolite, one of the natural zeolites having excellent cation exchange capacity (CEC), was chosen as the reactive material. In the batch tests, the reactivity of clinoptilolite to ammonium, lead, and copper wa...

an experimental study of the phase inversion behavior of liquid-liquid dispersion has been conducted in a spray extraction column for systems of toluene / water, n-hexane/water, ccl4/water, toluene /water + glycerol (25 % wt), toluene + ccl4 (25 % wt) / water and toluene / acetic acid (5 % wt)/water. the effects of physical properties, mass transfer and column geometry on phase inversion have b...

To investigate the axial compressive behavior of an opening cold-formed thin-wall C-steel combined double-limb column, I-section columns were modeled in this paper, and models validated by experiments on axial-compressed columns. Parametric analyses carried out The effects slenderness ratio, height to thickness width bolt spacing, web ultimate bearing capacity investigated. It was observed that...