Thus in order to digest the imported technology and do further innovation to develop our mash filters of independent intellectual asset, fundamental researches were carried out as follows:Based on classical Ruth filtration equation, the thesis deduced the theoretical foundation of thin bed filtration which the modern mash filter is based on.

This paper establishes and derives the clarification equation and the continuty equation of the granular bedding, and discusses the theoretical relationship between the filtration coefficient, the packing quantity ratio of the suspension and the suspension concentration. The solution process of the filtration equation and the theoretical solution of the algebraic equation were discribed.

The relation between filtering time and auxiliary time under the condition of productivity of flotation washing coal filter press being in its highest was discussed. The design principle and method of filtering time and filtering area as well as filter chamber thickness were expounded based on a known filtration equation.

Presents the micro－flocculation theory and direct filtration technique used in the internal recycling continuous sand filter and analyses the continuous filtration equations and the process of filtration and backwash from the point of view of hydraulics．

These methods are developed from a discrete time series filter equation originally presented in 1940 by Harold Jeffreys, and subsequently revised over the past two decades.

The original and separated control problems are related via the nonlinear filter equation.

Stability of the Filter Equation for a Time-Dependent Signal on ?d

Stability of the pathwise filter equation for a time-dependent signal process induced by a

The data gathered by the detector is filtered by an equation named digital low pass filter equation with the help of a computer.

The triangular elements with a circular side are used to coincide the mesh region with the Northern and Southern Hemisphere, and derived a general method of construction of the Arakawa scheme. We have proved that the generalized Arakawa scheme which we derived here really satisfies the three conservative relations strictly. We have also proved that this scheme has local approximation error O(h) at every grid point of the mesh. The method of triangular elements with circular side is meaningful in practice for...

The triangular elements with a circular side are used to coincide the mesh region with the Northern and Southern Hemisphere, and derived a general method of construction of the Arakawa scheme. We have proved that the generalized Arakawa scheme which we derived here really satisfies the three conservative relations strictly. We have also proved that this scheme has local approximation error O(h) at every grid point of the mesh. The method of triangular elements with circular side is meaningful in practice for solving both primitive equations and filtered equations.

The mathematical models of the deep bed filtration are concerned with filter coefficient λ. The models for λ developed before have involved constants which must be determined from the filter grain size. On the other hand, most of them are based upon experiments of using uniform filter media. They are not suited for graded media.We have developed a relationship between A and σ in this paper for graded media. It is based on the assumption that λ is simultaneously a function of hydraulic gradient and interstitial...

The mathematical models of the deep bed filtration are concerned with filter coefficient λ. The models for λ developed before have involved constants which must be determined from the filter grain size. On the other hand, most of them are based upon experiments of using uniform filter media. They are not suited for graded media.We have developed a relationship between A and σ in this paper for graded media. It is based on the assumption that λ is simultaneously a function of hydraulic gradient and interstitial velocity.Experiments employed in establishing the validity of the model were carried out with constant rate filtration and equations were solved with a computer. The theoretical and experimental findings are in general agreement.

This paper is directed toward deriviug compressible Cake Centri- fugal filtration eguation under Saturated Steady flow state on the basis of analyzing earlier studied works at bifferene view and mathod, To solve engineering Calculations of compressible Cake Centrifugal filtration rate.