a course in fluid mechanics with vector field theory - d. prieve

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

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

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

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

5、...............................................................................3GRADIENTOFASCALAR...........................................................................................................................................................4GeometricMeaningoft

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

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

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