Abstract
dc:descriptionTHE GAS-PARTICLE TWO PHASE FLOW IN CLOSED, STRAIGHT, HORIZONTAL PIPES IS EXAMINED. IN DERIVING THE EQUATIONS, IT IS ASSUMED THAT A GAS PARTICLE SUSPENSION MAYBE REGARDED AS A CONTINUUM, I.E. THE PARTICLES ARE CONSIDERED TO BE CONTINUOUSLY, BUT NOT NECESSARILY UNIFORMLY, DISTRIBUTED THROUGHOUT THE GAS. THE FUNDAMENTAL EQUATIONS OF THE TWO-PHASE FLOW MAY THEREFORE BE BASED ON THE CONSERVATION LAWS OF MASS, MOMENTUM AND ENERGY FOR EACH PHASE AND THE INTERACTION BETWEEN THE PHASES. THE INTERACTION FORCES ARE THE DRUG FORCE OF PARTICLES, THE LIFT FORCE OF PARTICLES, DUE TO THEIR ROTATION IN SPACE, THE BUOYANCY FORCE AND THE GRAVITY FORCES. THE MATHEMATICAL MODEL CONSISTS OF AN ELEVEN PARTIAL DIFFERENTIAL EQUATIONS SYSTEM OF ELEVEN VARIABLES AND IT IS COMPLETED WITH TWO MORE EQUATIONSFOR THE CALCULATION OF THE DRUG AND LIFT FORCE OF PARTICLES. SINCE THE SYSTEM IS VERY COMPLICATED, WE REDUCE IT FOR THE CASE OF THE INCOMPRESSIBLE 2D-FLOW OF GAS AND SOLID PARTICLES, BUT WE PRESENT THE EQUATIONS IN A COMPOUND FORM, APPLICABLE TO ORTHOGONAL OR CYLINDRICAL COORDINATES. THE TURBULENT FLOW MAY ALSO BE TREATED BY THE SAME SYSTEM OF EQUATIONS USING THE MEAN VALUE FOR EACH MAGNITUDE AND ESTIMATING THE TURBULENT VISCOUS STRESSES, BY MEANS OF THE TWO NEW MATHEMATICAL MODELS FOR THE ESTIMATION OF THE EDDY VISCOSITY OF EACH PHASE. TO SOLVETHE SYSTEM OF PARTIAL DIFFERENTIAL EQUATIONS WE USE THE NUMERICAL METHOD OF FINITE DIFFERENCES. THE RESULTING SYSTEM OF LINEAR ALGEBRAIC EQUATIONS IS SOLVED USING RICHTMYER'S ALGORITHM, WHICH IS SUITABLE FOR PARABOLIC TYPE PROBLEMS. THEGOOD AGREEMENT BETWEEN THE THEORETICAL RESULTS OF THIS ANALYSIS WITH CORRESPONDING THEORETICAL AND EXPERIMENTAL RESULTS OF OTHER WORKS, LEADS TO THE CONCLUSION THAT THE MATHEMATICAL MODEL DESCRIBES WELL THE REAL PHENOMENON OF THE GAS-PARTICLE FLOW IN CLOSED PIPES.
Degree
thesis:*- Grantor dc:publisher
- University of Patras
- Year dc:date
- 1990
Author and committee
dc:creator, dc:contributor.*- Author dc:creator
-
- Μάργαρης, Διονύσιος-Ελευθέριος
Subjects
dc:subject × 12Rights
- Language dc:language
- gre
Identifiers
dc:identifier.*- Identifier
- 10.12681/eadd/1245
- OAI identifier oai:identifier
- oai:10442/1245