Ch 8. Incompressible and Viscous Flow Multimedia Engineering Fluids Flow betweenParallel Plates CouetteFlow Viscous Flowin Pipe
 Chapter 1. Basics 2. Fluid Statics 3. Kinematics 4. Laws (Integral) 5. Laws (Diff.) 6. Modeling/Similitude 7. Inviscid 8. Viscous 9. External Flow 10. Open-Channel Appendix Basic Math Units Basic Equations Water/Air Tables Sections Search eBooks Dynamics Fluids Math Mechanics Statics Thermodynamics Author(s): Chean Chin Ngo Kurt Gramoll ©Kurt Gramoll

 FLUID MECHANICS - CASE STUDY Introduction Leakage from the Piston-Cylinder System Technician Eugene has observed that there is constant leakage of oil from the piston-cylinder hydraulic system. He wonders what is the flow rate of the leakage. The piston has a diameter of 40 mm, and a length of 20 mm. The gap width between the piston and cylinder is 0.008 mm. The working fluid is SAE-30 oil. The pressure difference across the piston is 15 MPa. Questions Determine the velocity profile of the oil in the gap between the piston and cylinder, and the leakage flow rate. Dimensions of the Problem Approach Assume the piston is stationary. The gap width is small, hence assume flow between fixed parallel plates. Assume the flow is steady, laminar and incompressible. The viscosity and density of the SAE-30 oil are 0.38 N-s/m2 and 912 kg/m3, respectively.

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