Calculating Resultant Force on a Moving Blade Impinged by a Jet of Water

Click For Summary
SUMMARY

The discussion focuses on calculating the resultant force on a stationary blade impacted by a jet of water with a diameter of 70mm and a velocity of 25m/s, which deflects the jet through an angle of 130 degrees. The first calculation involves determining the force using the impulse-momentum equation: ∫Fdt = Δp, where F represents force, t is time, and p is momentum. The second scenario introduces a moving blade with a velocity of 5m/s and a jet that loses 20% of its velocity due to friction, necessitating a recalculation of the force on the blade. The density of water is assumed to be 1000kg/m³ for both scenarios.

PREREQUISITES
  • Understanding of fluid dynamics principles, specifically jet impact on surfaces.
  • Familiarity with the impulse-momentum theorem and its application in mechanics.
  • Basic knowledge of vector analysis, particularly in force and momentum calculations.
  • Ability to perform calculations involving density and velocity in fluid systems.
NEXT STEPS
  • Study the impulse-momentum equation in detail, focusing on its applications in fluid mechanics.
  • Learn about the effects of friction on fluid velocity and how to calculate resultant forces in moving systems.
  • Explore vector analysis techniques for resolving forces in two-dimensional scenarios.
  • Investigate the principles of fluid dynamics related to jet flow and blade interactions.
USEFUL FOR

Mechanical engineers, fluid dynamics researchers, and students studying applied mechanics will benefit from this discussion, particularly those interested in calculating forces in fluid-structure interactions.

lennyp1ke
Messages
4
Reaction score
0
A jet of water 70mm in diameter moving with a velocity of 25m/s impinges tangentially on a stationary blade which deflects the jet through 130o.
(a) Find the resultant force on the blade, in magnitude and direction.
(b) If the blade has a velocity of 5m/s in the same direction as the jet and the jet loses 20% of its velocity due to friction, recalculate the force on the moving vane.
Assume density of water = 1000kg/m3.

Your solutions to both (a) and (b) to include appropriate illustrations
can some one please help or give me an idiots example of how to get started on this , I am not good at word to show my working out i have no answer as i can't work out ( u ) uk way of working out equation
thanks
if i could just get a good pionter i should be able to do it myself using my notes guys thanks
 
Last edited:
Physics news on Phys.org
Think impulse-momentum equation: ∫Fdt = Δp
where
F = force
t = time
p = momentum.

(Vectors are in bold)
 
thanks man well appreciated, ill give it a go , then well see if it looks right thanks
 

Similar threads

Replies
1
Views
2K
  • · Replies 4 ·
Replies
4
Views
3K
  • · Replies 6 ·
Replies
6
Views
3K
  • · Replies 2 ·
Replies
2
Views
5K
  • · Replies 4 ·
Replies
4
Views
3K
Replies
1
Views
46K
  • · Replies 1 ·
Replies
1
Views
2K
  • · Replies 5 ·
Replies
5
Views
1K
  • · Replies 49 ·
2
Replies
49
Views
5K
  • · Replies 14 ·
Replies
14
Views
3K