• Support PF! Buy your school textbooks, materials and every day products via PF Here!

Fluid problem -- Piston moving in an oil-filled cylinder

1. Homework Statement
A piston 10 is coaxially in diameter moves within a cylinder whose inner diameter is 10.006 in;
The annular space between piston and cylinder is filled with oil having a kinematic viscosity is 0.004 feet ^ 2 / s and specific gravity of 0.85

If the piston makes its way with a speed of 30 ft / min and the length of the piston within the cylinder is 10 feet, calculate the shear force and the friction opposing the motion of the piston



2. Homework Equations

(tangencial force) / area = (dynamic viscosity) (velocity/space betwteen the two surfaces)

3. The Attempt at a Solution
I can know the dynamic viscosity of the equation kinematic viscosity = dynamic viscosity/density and the density it can be known from the specific gravit.

So if I draw a Diagram of piston, I have two tangent forces and the weight. But I know that (tangencial force) / area = (dynamic viscosity) (velocity/space betwteen the two surfaces) and the area of contact it can be calculated from 2(pi)(radio) (Lenght)???
 
Last edited by a moderator:
19,354
3,839
1. Homework Statement
A piston 10 is coaxially in diameter moves within a cylinder whose inner diameter is 10.006 in;
The annular space between piston and cylinder is filled with oil having a kinematic viscosity is 0.004 feet ^ 2 / s and specific gravity of 0.85

If the piston makes its way with a speed of 30 ft / min and the length of the piston within the cylinder is 10 feet, calculate the shear force and the friction opposing the motion of the piston



2. Homework Equations

(tangencial force) / area = (dynamic viscosity) (velocity/space betwteen the two surfaces)

3. The Attempt at a Solution
I can know the dynamic viscosity of the equation kinematic viscosity = dynamic viscosity/density and the density it can be known from the specific gravit.

So if I draw a Diagram of piston, I have two tangent forces and the weight. But I know that (tangencial force) / area = (dynamic viscosity) (velocity/space betwteen the two surfaces) and the area of contact it can be calculated from 2(pi)(radio) (Lenght)???
It looks like you're on the right track, but where are there two tangent forces acting on the piston? I see only one.

What do you get for the dynamic viscosity?

What do you get for the distance between the two surfaces?

What do you get for the velocity/space between the two surfaces (in reciprocal seconds)?

What do you get for the tangential shear stress (i.e., (tangential force) / area)?

What do you get for the tangential force?

I don't understand what they mean by "friction opposing the motion of the piston"

Chet
 
It looks like you're on the right track, but where are there two tangent forces acting on the piston? I see only one.

What do you get for the dynamic viscosity?

What do you get for the distance between the two surfaces?

What do you get for the velocity/space between the two surfaces (in reciprocal seconds)?

What do you get for the tangential shear stress (i.e., (tangential force) / area)?

What do you get for the tangential force?

I don't understand what they mean by "friction opposing the motion of the piston"

Chet
With you answer I realized I don't have understand where act the tangent force, It acts in the area of the piston like a circle (bases of the piston) ????
 
Why it's only one?? Because there are many tangent forces acting in the contour of the cylinder?? or do you refer to the resultant??
 
Last edited:
I calculated the dynamic viscosity it gives me 3.16 g / (cm -s). So Should I apply directly the equation
(tangencial force) / area = (dynamic viscosity) (velocity/space betwteen the two surfaces)

Because the area=2pi(R)(L)= 2pi (25.4 cm / 2) (304.8 cm)
velocity=15.24 cm/s
space between= 25.4152 cm - 25.4 =0.01520 cm
 
Ok, thank you!
 
19,354
3,839
I calculated the dynamic viscosity it gives me 3.16 g / (cm -s). So Should I apply directly the equation
(tangencial force) / area = (dynamic viscosity) (velocity/space betwteen the two surfaces)

Because the area=2pi(R)(L)= 2pi (25.4 cm / 2) (304.8 cm)
velocity=15.24 cm/s
space between= 25.4152 cm - 25.4 =0.01520 cm
The space between is half of that. You took the difference between the diameters, and it should be the clearance, which is the difference between the radii. The velocity gradient in the gap should be 2000 reciprocal seconds.

Chet
 

Want to reply to this thread?

"Fluid problem -- Piston moving in an oil-filled cylinder " You must log in or register to reply here.

Related Threads for: Fluid problem -- Piston moving in an oil-filled cylinder

Replies
8
Views
245
  • Posted
Replies
4
Views
2K
  • Posted
Replies
1
Views
548
Replies
2
Views
792
  • Posted
Replies
1
Views
2K

Physics Forums Values

We Value Quality
• Topics based on mainstream science
• Proper English grammar and spelling
We Value Civility
• Positive and compassionate attitudes
• Patience while debating
We Value Productivity
• Disciplined to remain on-topic
• Recognition of own weaknesses
• Solo and co-op problem solving
Top