prieve d.c. course in fluid mechanics with vector field theory (web draft, 2000)(198s)

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1、ACourseinFluidMechanicswithVectorFieldTheorybyDennisC.PrieveDepartmentofChemicalEngineeringCarnegieMellonUniversityPittsburgh,PA15213AnelectronicversionofthisbookinAdobePDF®formatwasmadeavailabletostudentsof06-703,DepartmentofChemicalEngineering,CarnegieMellonUniversity,Fall,

2、2000.Copyright©2000byDennisC.Prieve06-7031Fall,2000TableofContentsALGEBRAOFVECTORSANDTENSORS..............................................................................................................................1VECTORMULTIPLICATION.....................................

3、.................................................................................................................1DefinitionofDyadicProduct.........................................................................................................................................

4、.....2DECOMPOSITIONINTOSCALARCOMPONENTS....................................................................................................................3SCALARFIELDS............................................................................................................

5、...............................................................3GRADIENTOFASCALAR...........................................................................................................................................................4GeometricMeaningoftheGradient..........

6、........................................................................................................................6ApplicationsofGradient.....................................................................................................................................

7、................7CURVILINEARCOORDINATES...................................................................................................................................................7CylindricalCoordinates...................................................................

8、....................................................................