Unsteady Unidirectional Flow of Second-Grade Fluid through a Microtube with Wall Slip and Different Given Volume Flow Rate

Figure 1

Velocity profiles at different phases atKn=0.1 and 𝛽=0.05 (a) during the acceleration of the piston motion (profiles are shown at time intervals of 𝑡^∗₀/6), (b) when the piston velocity is constant (time intervals of (𝑡^∗₁−𝑡^∗₀)/6), (c) during the deceleration of the piston velocity (time intervals of (𝑡^∗₂−𝑡^∗₁)/6), and (d) after the piston motion has stopped (time intervals of (0.0427−𝑡^∗₂)/6).

(a)

(b)

(c)

(d)