Ie h f k 4 d q where k is a constant 75 for a laminar

Info icon This preview shows pages 5–11. Sign up to view the full content.

View Full Document Right Arrow Icon
i.e. h f = k 4 d Q where k is a constant (7.5) For a laminar flow, the shear stress on the cylindrical surface is given by dx dp 2 r = τ For Newtonian fluid, dr dv µ = τ Equating the two equations, dx dp 2 r dr dv = µ When integrating the above equation with respect to r with the boundary condition v = 0 when r = R (i.e. no slip condition), the result is ) r R ( dx dp 4 1 - v 2 2 µ = (7.6) From (7.10), we can see that the velocity distribution is in parabolic form with maximum velocity at r = 0.
Image of page 5

Info iconThis preview has intentionally blurred sections. Sign up to view the full version.

View Full Document Right Arrow Icon