Chapter_04- fluids - Chapter 4: Fluid Kinematics Eric G....

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Chapter 4: Fluid Kinematics Eric G. Paterson Department of Mechanical and Nuclear Engineering The Pennsylvania State University Spring 2005
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Chapter 4: Fluid Kinematics ME33 : Fluid Flow 2 Note to Instructors These slides were developed 1 during the spring semester 2005, as a teaching aid for the undergraduate Fluid Mechanics course (ME33: Fluid Flow) in the Department of Mechanical and Nuclear Engineering at Penn State University. This course had two sections, one taught by myself and one taught by Prof. John Cimbala. While we gave common homework and exams, we independently developed lecture notes. This was also the first semester that Fluid Mechanics: Fundamentals and Applications was used at PSU. My section had 93 students and was held in a classroom with a computer, projector, and blackboard. While slides have been developed for each chapter of Fluid Mechanics: Fundamentals and Applications, I used a combination of blackboard and electronic presentation. In the student evaluations of my course, there were both positive and negative comments on the use of electronic presentation. Therefore, these slides should only be integrated into your lectures with careful consideration of your teaching style and course objectives. Eric Paterson Penn State, University Park August 2005 1 These slides were originally prepared using the LaTeX typesetting system ( http://www.tug.org/) and the beamer class ( http://latex-beamer.sourceforge.net/ ), but were translated to PowerPoint for wider dissemination by McGraw-Hill.
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Chapter 4: Fluid Kinematics ME33 : Fluid Flow 3 Overview Fluid Kinematics deals with the motion of fluids without considering the forces and moments which create the motion. Items discussed in this Chapter. Material derivative and its relationship to Lagrangian and Eulerian descriptions of fluid flow. Flow visualization. Plotting flow data. Fundamental kinematic properties of fluid motion and deformation. Reynolds Transport Theorem
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Chapter 4: Fluid Kinematics ME33 : Fluid Flow 4 Lagrangian Description Lagrangian description of fluid flow tracks the position and velocity of individual particles. Based upon Newton's laws of motion. Difficult to use for practical flow analysis. Fluids are composed of billions of molecules. Interaction between molecules hard to describe/model. However, useful for specialized applications Sprays, particles, bubble dynamics, rarefied gases. Coupled Eulerian-Lagrangian methods. Named after Italian mathematician Joseph Louis Lagrange (1736-1813).
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Chapter 4: Fluid Kinematics ME33 : Fluid Flow 5 Eulerian Description Eulerian description of fluid flow: a flow domain or control volume is defined by which fluid flows in and out. We define field variables which are functions of space and time. Pressure field, P=P(x,y,z,t) Velocity field, Acceleration field, These (and other) field variables define the flow field .
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Chapter_04- fluids - Chapter 4: Fluid Kinematics Eric G....

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