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Scaling laws and the differential equations of an entrained flow coal gasifier
Author(s) -
Kane Ronald S.,
Mc Callister Robert A.
Publication year - 1978
Publication title -
aiche journal
Language(s) - English
Resource type - Journals
SCImago Journal Rank - 0.958
H-Index - 167
eISSN - 1547-5905
pISSN - 0001-1541
DOI - 10.1002/aic.690240107
Subject(s) - froude number , dimensionless quantity , mechanics , similitude , flow (mathematics) , differential equation , scaling , partial differential equation , momentum (technical analysis) , ordinary differential equation , mathematics , classical mechanics , physics , mathematical analysis , thermodynamics , geometry , finance , economics
Abstract A formal order of magnitude analysis was applied to the differential equations describing mass, momentum, and energy transport in an axially translating, vortex flow field and used to determine the importance of various terms. Significant dimensionless parameters, suitable for establishing scaling laws, appear naturally from the equations. Among the important parameters are the swirl number, geometric scale ratio, Froude number, and particle loading ratio. These parameters were combined to establish rules for complete similarity between a model and a prototype gasifier.