class16_continuity

class16_continuity - • In many cases we are interested in...

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10/30/2007 1 ES330, Section 2 Dr. Douglas Bohl 239 Camp x6683, [email protected] www.clarkson.edu/~dbohl/es330 Tow tank at the NSWC Carderock facility in Bethesda, MD Tank is 1 mile long and can reach speeds up to 16.5 m/s
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2 Outline • Differential Form of the Conservation of Mass – Derivation using control volume formulation – Examples – Circular Cylindrical Coordinates •O b j e c t i v e – Use differential form of the conservation of mass to determine if a flow field is physical. Convert between rectangular and circular cylindrical coordinate systems. Announcements • Announcement – HW#9 posted on the web – See web page for revised schedule…….
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3 Integral vs Differential Formulations • In integral analysis we are concerned only with what happens at the control surfaces. The details of what happens in the control volume are not considered.
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Unformatted text preview: • In many cases we are interested in the details of the flow field. • We will recast the conservation equations into differential form so that we can analyze the details of the flow field. 4 Example x/c y c 0.2 0.4 0.6 0.8-0.1 0.1 0.2 2U ∞ We can define the control volume as shown. If we wanted to look at the mass and momentum conservation all we need is the velocity profiles on the control surfaces. 5 Example But we miss a lot of the detail of the flow field if we do that. x/c y c 0.2 0.4 0.6 0.8-0.1 0.1 0.2 2U ∞ 6 7 8 9 Example 10 Example 11 Example 12 13 14 Example 15 Example In a steady, 2-d flow field the density varies linearly with respect to the x-direction: ρ =Ax where A is a constant. If the x-component of the velocity is given by u=y find an expression for the v....
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This note was uploaded on 04/07/2008 for the course ES 330 taught by Professor Bohl during the Spring '08 term at Clarkson University .

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class16_continuity - • In many cases we are interested in...

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