ISSN:0253-3839    

DOI:10.1080/02533839.1983.9676746

出版商:Taylor & Francis Group    

年代:1983

数据来源: Taylor

ISSN:0253-3839    

DOI:10.1080/02533839.1983.9676747

出版商:Taylor & Francis Group    

年代:1983

数据来源: Taylor

ISSN:0253-3839    

DOI:10.1080/02533839.1983.9676748

出版商:Taylor & Francis Group    

年代:1983

数据来源: Taylor

摘要:

First‐order partial differential equations of population balance are solved by employing the Legendre polynomials. The key of the method is that the dependent variable of the population density function is assumed to be expressed by a double series of Legendre polynomials with respect to time and space variables. The approach algorithm is that a series of ordinary differential equations are obtained by making the Legendre transformation with respect to the space coordinate. The series of time‐function ordinary differential equations are further transformed into algebraic equations of expansion coefficients with respect to time. The expansion coefficients of the Legendre polynomials are obtained by solving matrix equations which represent the series of algebraic equations. Illustrative examples are given, and the computational results are compared with those of other numerical values given in the literature. Satisfactory agreements are obtained.

ISSN:0253-3839    

DOI:10.1080/02533839.1983.9676749

出版商:Taylor & Francis Group    

年代:1983

数据来源: Taylor

摘要:

Shifted Legendre polynomials are applied to solve the state equations of linear system. The computation procedure is greatly simplified by introducing the operational matrix for the integration of shifted Legendre vectors whose elements are shifted Legendre polynomials. The key of the method is that the state and forcing functions are expressed in terms of a series of shifted Legendre polynomials with expansion coefficients. Ordinary differential equations of state system are transformed into a series of algebraic equations of the shifted Legendre expansion coefficients and then are solved by employing the technique of matrix inverse. The methods of the computational algorithms are also investigated in order to simplify the calculation procedure and make the calculation convergent.

ISSN:0253-3839    

DOI:10.1080/02533839.1983.9676750

出版商:Taylor & Francis Group    

年代:1983

数据来源: Taylor

摘要:

The dark conductivity of phosphorus‐doped amorphous‐silicon alloys (a‐Si:H:F) prepared by theRFplasma decomposition of a gaseous mixture of SiF4, H2and diluted PH3is extremely high; it exceeds 10 (O‐cm)‐1with only a small amount of PH3(∼500 ppm) added in the gas phase. These doping characteristics represent a significant improvement over the doping characteristics ofa‐Si:H alloys prepared by a glow‐discharge of SiH4. The improvement was found to be due to the fact that P‐dopeda‐Si:H:F contains microcrystallites which are embedded in an amorphous network. The percolation process in these two‐phase systems gives rise to high conductivity. We have used transmission electron microscopy (TEM) and diffraction (TED) to determine the critical surface fraction,ρc,of crystallinity at the onset of extended conduction. The measuredρcis approximately 0.46. This percolation limit provides a basis for the analysis of the electrical properties of P‐dopeda‐Si:H:F.

ISSN:0253-3839    

DOI:10.1080/02533839.1983.9676751

出版商:Taylor & Francis Group    

年代:1983

数据来源: Taylor

摘要:

This paper is concerned with formulating equations for the flow of an electrically conducting fluid through a non‐conducting porous medium with non‐porous and non‐conducting boundaries. Equations are developed for the general case of the flow of a solid‐fluid suspensions; flow through a porous medium is treated as a special case by letting the velocity of the particle phase goes to zero. Two cases are considered. Exact solution is obtained for the case of flow between parallel plates, but for flow in pipes of square and circular cross sections, the equations have to be solved numerically. The numerical technique developed can treat elliptical cross sections as well. The flow in all cases is assumed to be steady, laminar, incompressible, viscous, and fully developed. The results are presented in terms of a parameter which measures the resistance of the porous medium.

ISSN:0253-3839    

DOI:10.1080/02533839.1983.9676752

出版商:Taylor & Francis Group    

年代:1983

数据来源: Taylor

摘要:

The coalescence of nitrogen bubbles in liquid was studied by using a high‐speed motion picture camera at speeds up to 3,000 frames per second. Examination of the films frame by frame reveals that the general process of bubble coalescence is growth‐touching‐coalescence‐vibrating‐detachment. A small amount of surface active additive influences the time of coalescence significantly: 0.9ppm of sodium lauryl sulfate (SLS), 1.6 ppm of sodium laury benzene sulfonate (SLBS) or 1.8 ppm ofn‐octanol inhibits the bubble coalescence completely. This phenomenon is attributed to the dynamic surface effect or the departure from static surface tension caused by extension of the gas‐liquid interface.

ISSN:0253-3839    

DOI:10.1080/02533839.1983.9676753

出版商:Taylor & Francis Group    

年代:1983

数据来源: Taylor

摘要:

A functional representation for inversion of the Laplace transform of a function is considered. The function is given in Laguerre polynomials expansion. The coefficients of the polynomials are in terms of weighted moments which are directly determined from the Laplace transform. The applications to rational and irrational Laplace transforms are presented to illustrate the satisfactory results that the method provides.

ISSN:0253-3839    

DOI:10.1080/02533839.1983.9676754

出版商:Taylor & Francis Group    

年代:1983

数据来源: Taylor

ISSN:0253-3839    

DOI:10.1080/02533839.1983.9676755

出版商:Taylor & Francis Group    

年代:1983

数据来源: Taylor