4 Transition to turbulent boundary layer 3 Cylinder (two-dimensional) 1 Sphere 10 102 103 104 105 106 107 Reg = PUd (a)

Principles of Heat Transfer (Activate Learning with these NEW titles from Engineering!)
8th Edition
ISBN:9781305387102
Author:Kreith, Frank; Manglik, Raj M.
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Chapter8: Natural Convection
Section: Chapter Questions
Problem 8.36P
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The sphere is dropped in gasoline at 20 ° C.
Ignoring its acceleration phase, what will it's terminal (constant)
fall velocity be, from Fig. ?

4
Transition to turbulent
boundary layer
3
Cylinder (two-dimensional)
1
Sphere
10
102
103
104
105
106
107
Reg =
PUd
(a)
Transcribed Image Text:4 Transition to turbulent boundary layer 3 Cylinder (two-dimensional) 1 Sphere 10 102 103 104 105 106 107 Reg = PUd (a)
Expert Solution
Step 1

      For gasoline at 20°C, take ρ ≈ 680 kg/m3  and μ ≈ 2.92E−4 kg/ms. For steel take ρ ≈ 7800 kg/m3. Then, in “terminal” velocity, the net weight equals the drag force: 

                  Wnet=ρsteel-ρgasolinegπ6D3=Drag force

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