Now we will take a closer look, and examine the element’s changing shape and orientation. Consider a two-dimensional fluid element, a square ABCD for simplicity.

Fluids – Lecture 11 Notes 1. 7 – A general motion of the fluid element A general motion of the rigid body may be considered as a sum of linear translation and rotation. 57:020 Mechanics of Fluids and Transport Processes Chapter 6 Professor Fred Stern Fall 2006 1 1 Chapter 6 Differential Analysis of Fluid Flow Fluid Element Kinematics Fluid element motion consists of translation, linear deformation, rotation, and angular deformation. Vorticity and Strain Rate 2. If there are no velocity gradients at all in a flow, then a fluid element in motion will simply translate from one location to another. Circulation Reading: Anderson 2.12, 2.13 Vorticity and Strain Rate Fluid element behavior When previously examining fluid motion, we considered only the changing position and velocity of a fluid element. J. Szantyr – Lecture No. Translation is linear displacement from location, say, to ($1, a). So to describe the motion of the fluid element, in addition to Translation, we have to consider Rotation, Angular deformation, and Volumetric deformation.
As the fluids are not rigid, in their motion the deformation of the fluid elements must be additionally considered.


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