L5-Fall+2011

# L5-Fall+2011 - MAE 14:650:474 Alternative Energy Systems...

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Unformatted text preview: MAE 14:650:474 Alternative Energy Systems Lecture 4: Class Agenda o Turbo Machine Example Problems o Hydro power 1 MAE 14:650:474 Alternative Energy Systems Example 1 Given an axial flow machine, where α 1 = β 2 =45 ° , α 2 = β 1 =30 ° , V 1 =V R2 & V 2 =V R1 Determine: 1) reaction, R and 2) whether the machine is a pump or turbine. oRECALL: for an axial machine: the inlet and exit radii are ~equal; r=r =r , U=U =U & V =V 1 =V 2 V V R1 2 1 2 1 2 a a1 a2 o U 1 V u1 α 1 β 1 MAE 14:650:474 Alternative Energy Systems Example - continued- 3 MAE 14:650:474 Alternative Energy Systems Example - continued Given an axial flow machine, where α 1 = β 2 =45 ° and α 2 = β 1 =30 °- 4 MAE 14:650:474 Alternative Energy Systems Example - continued- Projection of V1 onto U: And V 1 V R1 U 1 V u1 α 1 β 1 5 MAE 14:650:474 Alternative Energy Systems Example - continued- 6 Example 2 Given the following: outlet radius = 300mm, inlet radius = 150 mm, flow rate = Q = 2 m 3 /sec, ρ = 1000 kg/m3, and rotation rate = ω = 25 rad/sec. Determine the torque, power, change in head, MAE 14:650:474 Alternative Energy Systems 7 1. Construct velocity diagrams 2. change in head: Turbomachinery – Example Given the following: outlet radius = 300mm, inlet radius = 150 mm, flow rate = Q = 2 m3/sec, ρ = 1000 kg/m3, and rotation rate = ω = 25 rad/sec. Determine the torque, power, change in head, MAE 14:650:474 Alternative Energy Systems 8 3. Power 4. torque MAE 14:650:474 Alternative Energy Systems Example - continued- 9 MAE 14:650:474 Alternative Energy Systems Hydropower (Chapter 2) - overview o has been used for centuries o Greeks used water wheels to grind wheat into flour more than 2,000 years ago 10 o in early 1800s American and European factories used water wheel to power machines Undershot Water flow Breastshot Water flow Overshot Water flow MAE 14:650:474 Alternative Energy Systems Hydropower (Chapter 2) - overview o in the 19 th century, the force of falling water was used to generate electricity o the first hydroelectric power plant was built in 11 o many hydroelectric plants were built after 1879 – o it was not until the 1970’s and oil prices increased that people developed renewed interest in hydropower MAE 14:650:474 Alternative Energy Systems Hydropower (Chapter 2) - overview o hydro plant is a system that typically has three parts: s s o to generate electricity, a dam opens its gates to allow water from the 12 reservoir above to flow down through large tubes called o at the bottom of the penstocks, o turbines MAE 14:650:474 Alternative Energy Systems Hydropower (Chapter 2) - overview o the electricity is then transported via huge transmission lines to a local utility company o the amount of electricity that can be generated at a hydro plant is etermine by two factors: 13 determine by two factors: s MAE 14:650:474 Alternative Energy Systems Hydropower (Chapter 2) o large hydroelectric dams require large capital investments and can...
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L5-Fall+2011 - MAE 14:650:474 Alternative Energy Systems...

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