Pharos University ME 253 Fluid Mechanics II

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Assumptions: Incompressible substance, B. Negligible heat transfer

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Presentation transcript:

Pharos University ME 253 Fluid Mechanics II Differential Analysis of Fluid Motion Lecture # 3 : Part # 1 Continuity Equation and Stream Function

Main Topics Conservation of Mass Stream Function for Two-Dimensional Incompressible Flow

Conservation of Mass Basic Law for a System

Conservation of Mass Rectangular Coordinate System

Conservation of Mass Rectangular Coordinate System

Conservation of Mass Rectangular Coordinate System “Continuity Equation”

Conservation of Mass Rectangular Coordinate System “Del” Operator

Conservation of Mass Rectangular Coordinate System

Conservation of Mass Rectangular Coordinate System Incompressible Fluid: Steady Flow:

Conservation of Mass Cylindrical Coordinate System

Conservation of Mass Cylindrical Coordinate System

Conservation of Mass Cylindrical Coordinate System “Del” Operator

Conservation of Mass Cylindrical Coordinate System

Conservation of Mass Cylindrical Coordinate System Incompressible Fluid: Steady Flow:

Stream Function for Two-Dimensional Incompressible Flow Two-Dimensional Flow Stream Function y

Stream Function for Two-Dimensional Incompressible Flow Cylindrical Coordinates Stream Function y(r,q)