By Ron Darby, Raj P. Chhabra
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Extra info for Chemical Engineering Fluid Mechanics, Third Edition
23 Dimensional Analysis and Scale-Up B. conSIStent unItS The conclusion that dimensionless numerical values are universal is valid only if a consistent system of units is used for all quantities in a given expression. That is, units for all quantities with the same dimensions should always be the same and not “mixed,” that is, always using ft for the unit of length and not mixing ft and m in the same expression. If such is not the case, then the numerical quantities may include conversion factors that relate the different units.
The diameter of the shaft is 1 in. , and its length is 2 in. 5 lbf when the shaft is moving with a velocity of 20 ft/s, what should the viscosity of the grease be, in centipoise? (b) If the grease has a viscosity of 400 cP (centipoise), what is the force exerted on the sleeve when the shaft is moving at a velocity of 20 ft/s? Basic Concepts 15 (c) The sleeve is cooled to a temperature of 150°F, and it is desired to keep the shaft temperature below 200°F. , the rate at which heat must be removed through the sleeve by the coolant, in Btu/h), to achieve this temperature?
When in doubt about the number of significant digits to report in the answer, the rule of thumb is a maximum of three digits, unless more can be justified. 5%, which is better than that of most engineering data. ” —Anonymous IV. THE “SYSTEM” The basic conservation laws, as well as the transport models, are generally applied to a specified region or volume of fluid designated as “the system” (sometimes called a “control volume”). ) but is the fluid within a defined region. 2). Q may also be transported into or out of the system through the system boundaries by other means in addition to being carried by the in/out streams.