Question

[1] Water flowing in a pipe is determined to be moving at the velocities given in the diagram below. The higher level is 3 meters above the lower one and the pressure in the lower portion is measured to be 200 kPa. Determine the pressure inside the upper pipe Treat the water as an ideal fluid obeying Bernoullis equation. Consider the path connecting poin in the lower pipe with point 2 in the upper pipe a streamline 200 kPa 2.0 m/s ater Bernoullis equation is Using p-200 kPa-2.00 × 105 Pa. p 1000 kg/m*, y-y,-3.0m, v,-2.0m/s, and v,-3.0m/s, P2- 2.00 x 105 Pa (10 kg/m)[(2m/s)2 - (3m/s)] +(10 kg/m(9.81m/s)(-3m) - 1.68 x 105 Pa If the upper pipe has an open end, we can also determine the velocity of the water just outside the opening Pin = 168 kPa, v.-3.0 m/s Pour = Parm-10 1 kPa 168kPa + ½ ( 10, kg/m)(3m/s)-101 kPa ÷ ½ (10 kg/m) w (168kPa-101 kPa)/1% (10 kg/m)] + 9 (m/s)-vout2-143 (m/s) Vout [143] m/s = 12 m/s[3] All of the fluid discussion so far ignores any interaction with the walls other than the normal force which constraints the fluid to stay inside them. Real fluids have viscosity, which we will investigate later this week and next. Poiseuille studied motion of viscous fluids through pipes and came up with the law which bears his name: Volume flow rate 8nL Where R is the internal radius of the pipe, L is the length of the pipe ΔΡ is the pressure difference between the ends of the pipe η is the viscosity of the fluid and Units: rate is in m/s, R is in m, P is in Pa, L is in m, which gives the units for the equation as Common units are centipoise (cP). one cP mPa*s Ketchup has a viscosity of around 50 Pars. If Ketchup is to be pushed out of a tube with an inner radius of lem and a length of 8 cm, calculate the pressure difference required to give a flow rate of 1 cmls. Volume flow rate- ΔΡ s 8(50PUY)(08m) which gives ΔΡ-1019Pa Peanut Butter has a viscosity of 250 Pa-s. Determine the pressure difference needed to push peanut butter through a 6cm long tube with an inner radius of 1.5cm at a flow rate of 0.5 cm/s.Ignore question [1], just need the problem description from it.

0 0
Add a comment Improve this question Transcribed image text
Answer #1

piseuille sと LA 2.

Add a comment
Know the answer?
Add Answer to:
Ignore question [1], just need the problem description from it. [1] Water flowing in a pipe...
Your Answer:

Post as a guest

Your Name:

What's your source?

Earn Coins

Coins can be redeemed for fabulous gifts.

Not the answer you're looking for? Ask your own homework help question. Our experts will answer your question WITHIN MINUTES for Free.
Similar Homework Help Questions
  • [1] Water flowing in a pipe is determined to be moving at the velocities given in...

    [1] Water flowing in a pipe is determined to be moving at the velocities given in the diagram below. The higher level is 3 meters above the lower one and the pressure in the lower portion is measured to be 200 kPa. Determine the pressure inside the upper pipe Treat the water as an ideal fluid obeying Bernoulli's equation. Consider the path connecting poin in the lower pipe with point 2 in the upper pipe a streamline 200 kPa 2.0...

  • A 2L bottle is filled with water and has a 2mm diameter hole in the side...

    A 2L bottle is filled with water and has a 2mm diameter hole in the side 2cm from the bottom and the top is open to the atmosphere. a) What is the velocity of the water stream coming out of the hole when the water is 10cm above the hole? Treat the water as an ideal fluid obeying Bernoulli's equation. Additionally, you may assume that the flow is slow enough that the velocity of the water at the top surface...

  • 12. A fluid is flowing through a pipe with a radius of 5.1 x 10-3 m....

    12. A fluid is flowing through a pipe with a radius of 5.1 x 10-3 m. The viscosity of the fluid is 1.0 x 10-3 Pa-s. A flow rate of 2.8 x 10-4 m3/s is required, and it is found that a pressure difference of 1.8 × 103 Pa is needed to drive this flow. With this information, calculate the length of the pipe. Hint: assume the flow is viscous flow (a) 1.7 m (b) 5.9 m (c) 3.2 cm...

  • Water moves through a constricted pipe in steady, ideal flow. At the lower point shown in...

    Water moves through a constricted pipe in steady, ideal flow. At the lower point shown in the figure below, the pressure is 1.80 x 105 Pa and the pipe radius is 2.70 cm. At the higher point located at y = 2.50 m, the pressure is 1.28 x 105 Pa and the pipe radius is 1.40 cm. LOG (a) Find the speed of flow in the lower section. m/s (b) Find the speed of flow in the upper section. m/s...

  • Water moves through a constricted pipe in steady, ideal flow. At the lower point shown in...

    Water moves through a constricted pipe in steady, ideal flow. At the lower point shown in the figure below, the pressure is 1.70 x 105 Pa and the pipe radius is 2.60 cm. At the higher point located at y = 2.50 m, the pressure is 1.24 x 10 Pa and the pipe radius is 1.70 cm. (a) Find the speed of flow in the lower section. m/s (b) Find the speed of flow in the upper section. m/s (c)...

  • Water moves through a constricted pipe in steady, ideal flow. At the lower point shown in...

    Water moves through a constricted pipe in steady, ideal flow. At the lower point shown in the figure below, the pressure is 1.65 x 105 Pa and the pipe radius is 2.70 cm. At the higher point located at y = 2.50 m, the pressure is 1.27 x 105 Pa and the pipe radius is 1.30 cm. P (a) Find the speed of flow in the lower section. m/s (b) Find the speed of flow in the upper section. m/s...

  • Water moves through a constricted pipe in steady, ideal flow. At the lower point shown in...

    Water moves through a constricted pipe in steady, ideal flow. At the lower point shown in the figure below, the pressure is 1.85 x 105 Pa and the pipe radius is 2.90 cm. At the higher point located at y = 2.50 m, the pressure is 1.24 x 105 Pa and the pipe radius is 1.40 cm. (a) Find the speed of flow in the lower section. Your response differs from the correct answer by more than 10%. Double check...

  • Water flows through a pipe as shown in the figure. The pressure at points 1 and...

    Water flows through a pipe as shown in the figure. The pressure at points 1 and 2 respectively is 1.80 x 105 Pa and 1.20 x 105 Pa. The radius of the pipe at points 1 and 2 respectively is 3.50 cm and 1.20 cm. If the vertical distance between points 1 and 2 is 2.75 m, determine the following. (a) speed of flow at point 1 m/s (b) speed of flow at point 2 cm/s (c) volume flow rate...

  • Pa and the pipe radius is 2.80 cm. At the higher point located at Water moves...

    Pa and the pipe radius is 2.80 cm. At the higher point located at Water moves through a constricted pipe in steady, ideal flow. At the lower point shown in the figure below, the pressure is 1.65 x 10 у 2.50 m, the pressure is 1.30 x 105 Pa and the pipe radius is 1.30 cm. P2 PL (a) Find the speed of flow in the lower section. 1.49 x Your response differs from the correct answer by more than...

  • Water moves through a constricted pipe in steady, ideal flow. At the lower point shown in...

    Water moves through a constricted pipe in steady, ideal flow. At the lower point shown in the figure below, the pressure is 1.65 ✕ 105 Pa and the pipe radius is 2.50 cm. At the higher point located at y = 2.50 m, the pressure is 1.22 ✕ 105 Pa and the pipe radius is 1.20 cm (a) Find the speed of flow in the lower section. (b) Find the speed of flow in the upper section. (c) Find the...

ADVERTISEMENT
Free Homework Help App
Download From Google Play
Scan Your Homework
to Get Instant Free Answers
Need Online Homework Help?
Ask a Question
Get Answers For Free
Most questions answered within 3 hours.
ADVERTISEMENT
ADVERTISEMENT
ADVERTISEMENT