c. Derive the expression for the friction factor, f = 64/Re under laminar flow conditions

solve urgently

1. The velocity distribution in a 3-cm diameter pipe is given by where ro is the pipe radius. Calculate the shear stress (a) at the centerline, (b) at r = 0.25 cm, and (c) at the wall, if water at 20°C is flowing and umax = 25 m/s. Density Density tap Density Specific Gravity Specific Gravity 4°C reference Density Temp (°C) pure pure pure water water 60°F water (g/em' ) water ( kg/m) (g/cm' ) Ib/cu.ft reference O (solid) 0.9150 915.0 0.915 O liquid) 0.9999 999.9 0.99987 62.42 0.999 1.002 4 1.0000 1000 0.99999 62.42 1.000 1.001 20 0.9982 998.2 0.99823 62.28 0.998 0.999 40 0.9922 992.2 0.99225 61.92 0.992 0.993 60 0.9832 983.2 0.98389 61.39 0.983 0.985 80 0.9718 971.8 0.97487 60.65 0.972 0.973 Water Dynamic and Kinematic Viscosity Temperature Pressure Dynamic viscosity Kinematic viscosity (°C] [MPa] [Pa s], [N s/m2] [eP], [mPa s] lbf s/ft *10) [m'/s*101, (eSt) 0.01 0.000612 0.0017914 1.79140 3.7414 1.7918 10 0.0012 0.0013060 1.30600 2.7276 1.3065 20 0.0023 0.0010016 1.00160 2.0919 1.0035…

H.W.10// Is the gauge pressure at the center of the pipe (a) negative, (b) zero, or (c) positive? Neglect surface tension effects and state your rationale. Specific gravity = 1.00 6 in 30 in 12 in Specific gravity = 2.00