Question

The power generation company "Luz del Norte" has a Francis turbine operating with a net head Hn of 54 m and a flow rate Q of 9 m^3/s, rotating at a speed N of 300 RPM. The diameters corresponding to the inlet and outlet sections of the runner are, respectively, D1 = 1.5 m and D2 = 0.8 m. The blade height at the impeller inlet is b1 = 0.3 m. The angle of the blades at the impeller inlet is β1 = 100°. The water leaves the impeller with an absolute velocity v2 = 8 m/s, without rotation. Determine: (a) Useful head and hydraulic efficiency. (b) Exit angles of the distributor and impeller blades. As part of the power adjustments in the operation tests, it is requested to make a change in the outlet angle of the distributor by 1° (reduction of the value), while keeping the absolute fluid velocity constant. It is requested to determine: (c) The flow rate and the hydraulic efficiency under the new conditions (note that in this case v2u need not be zero). Please solve this turbomachine problem.

          The power generation company "Luz del Norte" has a Francis turbine operating with a net head Hn of 54 m and a flow rate Q of 9 m^3/s, rotating at a speed N of 300 RPM. The diameters corresponding to the inlet and outlet sections of the runner are, respectively, D1 = 1.5 m and D2 = 0.8 m. The blade height at the impeller inlet is b1 = 0.3 m. The angle of the blades at the impeller inlet is β1 = 100°. The water leaves the impeller with an absolute velocity v2 = 8 m/s, without rotation. Determine: (a) Useful head and hydraulic efficiency. (b) Exit angles of the distributor and impeller blades. As part of the power adjustments in the operation tests, it is requested to make a change in the outlet angle of the distributor by 1° (reduction of the value), while keeping the absolute fluid velocity constant. It is requested to determine: (c) The flow rate and the hydraulic efficiency under the new conditions (note that in this case v2u need not be zero). Please solve this turbomachine problem.
        
Show more…

Added by Curtis J.

University Physics with Modern Physics
University Physics with Modern Physics
Hugh D. Young 14th Edition
AceChat toggle button
Close icon
Ace pointing down

Please give Ace some feedback

Your feedback will help us improve your experience

Thumb up icon Thumb down icon
Thanks for your feedback!
Profile picture
The power generation company "Luz del Norte" has a Francis turbine operating with a net head Hn of 54 m and a flow rate Q of 9 m^3/s, rotating at a speed N of 300 RPM. The diameters corresponding to the inlet and outlet sections of the runner are, respectively, D1 = 1.5 m and D2 = 0.8 m. The blade height at the impeller inlet is b1 = 0.3 m. The angle of the blades at the impeller inlet is β1 = 100°. The water leaves the impeller with an absolute velocity v2 = 8 m/s, without rotation. Determine: (a) Useful head and hydraulic efficiency. (b) Exit angles of the distributor and impeller blades. As part of the power adjustments in the operation tests, it is requested to make a change in the outlet angle of the distributor by 1° (reduction of the value), while keeping the absolute fluid velocity constant. It is requested to determine: (c) The flow rate and the hydraulic efficiency under the new conditions (note that in this case v2u need not be zero). Please solve this turbomachine problem.
Close icon
Play audio
Feedback
Powered by NumerAI
Ivan Kochetkov Danielle Fairburn
Kathleen Carty verified

Sri K and 96 other subject Physics 101 Mechanics educators are ready to help you.

Ask a new question

*

Labs

-

Want to see this concept in action?

NEW

Explore this concept interactively to see how it behaves as you change inputs.

View Labs

*

Key Concepts

-
Key Concept
Premium Feature
Explore the core concept behind this problem.
Play button
Key Concept
Premium Feature
Explore the core concept behind this problem.
Your browser does not support the video tag.

*

Recommended Videos

-
a-centrifugal-pump-discharges-48-litress-of-water-and-develops-a-total-head-of-20-m-when-running-at-130-rads-the-water-enters-the-impeller-without-swirl-the-vane-outlet-angle-is-675o-and-the-20415

A centrifugal pump discharges 48 liters/s of water and develops a total head of 20 m, when running at 130 rad/s. The water enters the impeller without swirl, the vane outlet angle is 67.5º, and the radial velocity of flow remains constant at 3 m/s. The hydraulic efficiency is 0.9, and the mechanical efficiency is 0.91. There is a leakage loss of 2.5 liters/s, and a 28% reduction in ideal head due to relative circulation in the vane passages. The outlet diameter is 2.25 times the inlet diameter, and the peripheral area at the inlet and outlet is reduced by 10% due to vane thickness. Determine the diameter and width of the impeller at the inlet and outlet, the vane angle for shockless inflow, and the power required to drive the pump. ANS (0.329 m; 18.1 mm; 0.146 m; 41 mm; 72.5º; 12.08 kW)

Sri K.

problem-3-a-francis-radial-flow-hydro-turbine-is-being-designed-with-the-following-dimensions-r-200-m-r-142-mb0731-mand-b220mthe-runner-rotates-at-n180-rpm-the-wicket-gates-turn-the-flow-by-79772

Problem 3: A Francis radial-flow hydro turbine is being designed with the following dimensions: r2 = 2.00 m, r1 = 1.42 m, b2 = 0.731 m, and b1 = 2.20 m. The runner rotates at n = 180 rpm. The wicket gates turn the flow by angle ̑̑2 = 30° from radial at the runner inlet, and the flow at the runner outlet is at angle ̑̑1 = 10° from radial. The volume flow rate at design conditions is 340 m³/s, and the gross head provided by the dam is Hgross = 90.0 m. For the preliminary design, irreversible losses are neglected. Calculate the inlet and outlet runner blade angles b2 and b1, respectively, and predict the power output (MW) and required net head (m). Is the design feasible? (Assuming that ηturbine = 100%)

Sri K.

i-need-the-answer-quickly-a-centrifugal-pump-impeller-whose-external-and-internal-diameters-are-400-mm-and-200-mm-respectively-is-running-at-950-rpm-the-rate-of-flow-through-the-pump-is-0035-33847

A centrifugal pump impeller whose external and internal diameters are 400 mm and 200 mm respectively is running at 950 r.p.m. The rate of flow through the pump is 0.035 m3/s. The suction and delivery heads are 5 m and 25 m respectively. The diameters of the suction and delivery pipe are 120 mm and 80 mm respectively. If the outlet vane angle is 45°, the flow velocity is constant and equal to 1.8 m/s and power required to drive the pump is 15 kW, determine: (i) Inlet vane angle, (ii) The overall efficiency, and (iii) The manometric efficiency. [Ans. (i) 10.26°; (ii) 61.76 % ; (iii) 73.65 %]

Sri K.


*

Recommended Textbooks

-
University Physics with Modern Physics

University Physics with Modern Physics

Hugh D. Young 14th Edition
achievement 1,572 solutions
Physics: Principles with Applications

Physics: Principles with Applications

Douglas C. Giancoli 7th Edition
achievement 1,697 solutions
Fundamentals of Physics

Fundamentals of Physics

David Halliday, Robert Resnick , Jearl Walker 10th Edition
achievement 1,269 solutions

*

Transcript

-
00:01 Let's discuss this question.
00:02 So the wire of thickness 4 .8mm is given to us.
00:05 We need to find the magnetic field on the axis of the solenoid.
00:09 So magnetic field inside a solenoid that is equal to mu, knot, n, i...
Need help? Use Ace
Ace is your personal tutor. It breaks down any question with clear steps so you can learn.
Start Using Ace
Ace is your personal tutor for learning
Step-by-step explanations
Instant summaries
Summarize YouTube videos
Understand textbook images or PDFs
Study tools like quizzes and flashcards
Listen to your notes as a podcast
Continue solving this problem
Create a free account to:
  • View full step-by-step solution
  • Ask follow-up questions with Ace AI
  • Save progress and study later
Continue Free
Numerade

Get step-by-step video solution
from top educators

Continue with Clever
or



By creating an account, you agree to the Terms of Service and Privacy Policy
Already have an account? Log In

A free answer
just for you

Watch the video solution with this free unlock.

Numerade

Log in to watch this video
...and 100,000,000 more!


EMAIL

PASSWORD

OR
Continue with Clever