Please solve for all with a clear explanation ( fluid mechanics) 1. A series of experiments was conducted for a ship model of 3-ft length in a watertank. The relevant variables are the length of the model, L, water density, p, tawingvelocity, V, the viscosity, µ, and the gravitational acceleration, g. The experimentalresult wasV (ft/s) 1020D (lbf) 0.022 0.0795030 400.169 0.281 0.45=600.618700.731The full-size ship is 150 ft long and designed to cruise at 15 knots and 20 knots in afreshwater lake (1 knot = 1.68781 ft/s).a. How many dimensionless groups can be obtained? Why?b. Use dimensional analysis to prove that the functional relationship of the dragforce D=f(p, V, L, g, µ) can be simplified to Cd=f(Fr, Re), whereDVCa-, Fr=PVLRe=√gLμlPV²12c.If the drag coefficient and Fr number are conserved, estimate the drag forcefor the full-size ship at the two cruising velocities.d. If the drag coefficient and Re number are conserved, estimate the drag forcefor the full-size ship at the two cruising velocities.

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A series of experiments was conducted for a ship model of 3-ft length in a water tank. The relevant variables are the length of the model, L, water density, p, tawing velocity, V, the viscosity, μ, and the gravitational acceleration, g. The experimental result was

A series of experiments was conducted for a ship model of 3-ft length in a water tank. The relevant variables are the length of the model, L, water density, p, tawing velocity, V, the viscosity, μ, and the gravitational acceleration, g. The experimental result was

Principles of Heat Transfer (Activate Learning with these NEW titles from Engineering!)

8th Edition

ISBN:9781305387102

Author:Kreith, Frank; Manglik, Raj M.

Publisher:Kreith, Frank; Manglik, Raj M.

Chapter5: Analysis Of Convection Heat Transfer

Section: Chapter Questions

Problem 5.8P

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Question

Please solve for all with a clear explanation ( fluid mechanics)

1. A series of experiments was conducted for a ship model of 3-ft length in a water
tank. The relevant variables are the length of the model, L, water density, p, tawing
velocity, V, the viscosity, µ, and the gravitational acceleration, g. The experimental
result was
V (ft/s) 10
20
D (lbf) 0.022 0.079
50
30 40
0.169 0.281 0.45
=
60
0.618
70
0.731
The full-size ship is 150 ft long and designed to cruise at 15 knots and 20 knots in a
freshwater lake (1 knot = 1.68781 ft/s).
a. How many dimensionless groups can be obtained? Why?
b. Use dimensional analysis to prove that the functional relationship of the drag
force D=f(p, V, L, g, µ) can be simplified to Cd=f(Fr, Re), where
D
V
Ca
-, Fr=
PVL
Re=
√gL
μl
PV²12
c.
If the drag coefficient and Fr number are conserved, estimate the drag force
for the full-size ship at the two cruising velocities.
d. If the drag coefficient and Re number are conserved, estimate the drag force
for the full-size ship at the two cruising velocities.

Branch of science that deals with the stationary and moving bodies under the influence of forces.

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