Aero/Hydrodynamic Properties (Ch. 10)

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Presentation transcript:

Aero/Hydrodynamic Properties (Ch. 10) Air and water are used to remove foreign material from products How much air required depends on the drag force FD ( sum of skin friction and pressure drag) FD affected by density, abs. viscosity, area and velocity (equation 10.1) Reference Figure 10.1 Dr. C. L. Jones Biosystems and Ag. Engineering 11/20/2018 BAE 2023 Physical Properties -Dr. C. Jones

Aero/Hydrodynamic Properties (Ch. 10) FD depends on the drag coefficient CD which is quantified using the Reynolds number. NRe = Vdpρf/η Where: V = fluid velocity dp = particle dimension ρf= fluid density η = absolute viscosity NRe<1.0, Stokes flow, FD=3πdpμV (sphere) NRe<1,000 Laminar flow NRe >20,000 Turbulent flow Dr. C. L. Jones Biosystems and Ag. Engineering 11/20/2018 BAE 2023 Physical Properties -Dr. C. Jones

Aero/Hydrodynamic Properties (Ch. 10) Terminal velocity: occurs when drag force balances gravitational force See Table 10.1 For a sphere Fdrag=CD(πd2/4)(ρfv2/2) CD depends on the Reynold number of the particle: Rep= ρfvd/μ (restated from eqt. 10.1 in different terms) If Rep<0.2, CD=24/Rep If Rep>200,000, CD=0.44 If Repis between 500 and 200,000, CD=(24/Rep)(1.0 + 0.15(Rep)0.687) Dr. C. L. Jones Biosystems and Ag. Engineering 11/20/2018 BAE 2023 Physical Properties -Dr. C. Jones

Aero/Hydrodynamic Properties (Ch. 10) Read Example Problem 10.1. You will need to be familiar with it. This examples shows how to find a Reynolds number for a particle, the drag coefficient and the terminal velocity Dr. C. L. Jones Biosystems and Ag. Engineering 11/20/2018 BAE 2023 Physical Properties -Dr. C. Jones

Aero/Hydrodynamic Properties (Ch. 10) Application example: Can corn stalks be separated from corn cobs pneumatically? What minimum air velocity can be used? How well will it be separated? How could we improve the separation? Dr. C. L. Jones Biosystems and Ag. Engineering 11/20/2018 BAE 2023 Physical Properties -Dr. C. Jones

Aero/Hydrodynamic Properties (Ch. 10) Application example: A seed company would like to move soybeans through a pipe (5.25” inside diameter) pneumatically. What capacity should the air source (the fan) be rated for? Dr. C. L. Jones Biosystems and Ag. Engineering 11/20/2018 BAE 2023 Physical Properties -Dr. C. Jones