Assignment 6a - Supports Lecture Development pdf

# Assignment 6a - Supports Lecture Development pdf -...

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Assignment 6 What is done here is a compact version of that given in your text (pp. 134 6) Show all steps in the following development of the rate of doing work term in the Macroscopic Energy Balance (i.e., the First Law of Thermodynamics applied to a CV). First: What is work? Work is the energy required to move a body over a distance under the action of a force. In rigid body mechanics, work equals force time distance. Hence, the rate of doing work is force times velocity. We are interested in developing the relation for W term in the First Law of Thermodynamic applied to a control volume involving flow (or the MEB). ± Use the definition of the stress in a flowing fluid to show that () dF n T dA =⋅ ² (1) Then explain why the rate of doing work associated with the force acting on a control volume surface is CS Wv n T d ± ² A (2) where v is the velocity at the surface. Now the velocity at a surface can be divided into normal and tangential components, i.e., n vv nv λ =+ as shown in the figure below.

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Assignment 6a - Supports Lecture Development pdf -...

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