Consider a piston with an orifice in a cylinder filled with a fluid of viscosity \(\mu\) as shown in Fig. 1.106. As the piston moves in the cylinder, the fluid flows through the orifice, giving rise to a friction or damping force. Derive an expression for the force needed to move the piston with a velocity \(v\) and indicate the type of damping involved.

Figure 1.106:-

Transcribed Image Text:

F (force) Piston rod Piston with orifice (velocity) Viscous fluid Cylinder (fixed) FIGURE 1.106 Piston and cylinder with orifice flow.