Determine the transition length at the entrance to a 10 mm tube through which 100 percent glycerol at 60 c is flowing at a velocity of 0.5 m/s. the density of a glycerol is 1240 kg/m data: the dynamic viscosity is 0.0813 pa-s. a) 18.13 mm b) 50 mm c) 45.43 mm d) 38.13 mm

Option (d) is the correct answer.

Explanation:

The given data is as follows.

Tube diameter d = 10 mm = 0.01 m

Velocity of glycerol, v = 0.5 m/s

Density of glycerol () = 1240 kg/m3

Dynamic viscosity of glycerol () = 0.0813 pa.s

Reynolds number (Re) =

                                     =

                                     = 76.26

Therefore, according to Reynolds number we can say that flow is laminar.

                     Lt =

                         =

                         =

As it is known that 1 m = 1000 mm. Hence, in 0.03813 m will be equal to

                         = 38.13 mm

Thus, we can conclude that the transition length of glycerol is 38.13 mm.