Question
In: Mechanical Engineering
Drag measurements were taken for a 5 cm diameter sphere in water at 20 °C to...
Drag measurements were taken for a 5 cm diameter sphere in water at 20 °C to predict the drag force of a 1 m diameter balloon rising in air with standard temperature and pressure. Given kinematic viscosity of water (v) = 1.0 X 10-6 m2/s and kinematic viscosity of air (v) = 1.46 X 10-5 m2/s.
- Perform the Buckingham Pi theorem to generate a relationship for FD as a function of the independent variables. Assume the drag FD is a function of diameter (d), velocity (V), fluid density (ρ) and kinematic viscosity (v)
2.Determine the sphere velocity if the balloon was rising at 3 m/s
Solutions
Expert Solution
Please refer the following images for the solution.
samet mamat answered 2 months agoRelated Solutions
Drag measurements were taken for a 5 cm diameter sphere in water at 20 °C to...
Drag measurements were taken for a 5 cm diameter sphere in water
at 20 °C to predict the drag force of a 1 m diameter balloon rising
in air with standard temperature and pressure. Given kinematic
viscosity of water (v) = 1.0 X 10-6
m2/s and kinematic viscosity of air (v) = 1.46
X 10-5 m2/s.
Perform the Buckingham Pi theorem to generate a relationship
for FD as a function of the independent variables.
Assume the drag FD is a...
4- If the drag force on a smooth sphere depends on the velocity (V), sphere diameter...
4- If the drag force on a smooth sphere depends on the velocity
(V), sphere diameter (D), viscosity (?), and density (?), use
dimensional analysis to show the drag coefficient on the sphere is
a function of the Reynolds number only. (15%) ?
2. Initially, the steel sphere with a diameter of 15 cm with a temperature of 200°C...
2. Initially, the steel sphere with a diameter of 15 cm with a
temperature of 200°C was left to cool in the airflow at a
temperature of 6 m/s. By making the necessary acceptances,
calculate the amount of time the aluminum sphere will fall to a
temperature of 50°C.
The relevant correlation for forced transport on the sphere;
NuD = 2 + (0.4 ReD 0.5+ 0.06 ReD 2/3) Pr 0.6 (μo/μy)1/4
A .500 cm diameter sphere is gold plated. The gold is Au +3, current is 5...
A .500 cm diameter sphere is gold plated. The gold is Au +3,
current is 5 amps. The coat is a thickness of .0750 micron, density
of gold is 19.31 g/cm^3. How long will it take to coat? Correct
answer is 28 minutes apparently but how???
A sphere with a diameter of 70 cm is held at a temperature of 290
A sphere with a diameter of 70 cm is held at a temperature of
290
Air at 20°C (1 atm) is flowing over a 0.025-m diameter sphere with a velocity of...
Air at 20°C (1 atm) is flowing over a 0.025-m diameter sphere with
a velocity of 3.5 m/s. If the surface temperature of the sphere is
constant at 80°C, determine the Reynolds number corresponding to
the sphere, its average drag co-efficient, and the heat transfer
rate from the sphere. The properties of air (1 atm) at the free
stream temperature T∞ = 20°C, ρ = 1.204
kg/m3, k = 0.02514
W/m∙K, μ = 1.825 × 10−5 kg/m∙s,
and Pr = 0.7309. At the surface
temperature Ts=
80°C: μs =...
1. A 0.750 kg hollow sphere with a diameter of 25 cm diameter starts from rest...
1. A 0.750 kg hollow sphere with a diameter of 25 cm diameter
starts from rest at the top of a 65 cm tall incline. There is just
enough friction on the incline to make the sphere roll instead of
slide.
(a) What types of energy does the sphere have at the top? at the
bottom?
(b) What is the moment of inertia of the sphere?
(c) What is the velocity of the sphere when it reaches the
bottom of...
A toroid with inner diameter of 3 cm, outer diameter of 5 cm, and height of...
A toroid with inner diameter of 3 cm, outer diameter of 5 cm,
and height of 0.1 cm is made of a body-centered-cubic (bcc)
paramagnetic material with lattice parameter equal to 0.5 nm. The
toroid is wrapped by a copper wire in 20 turns. If each atom of the
magnetic material has a magnetic moment of 1.5µB (Bohr Magneton),
(a) (1.5 pt) What is the saturation magnetization (in A/m) of the
material? (b) (1.5 pt) If a current of 2...
A 22-cm-diameter cylinder that is 43 cm long contains 44 g of oxygen gas at 20∘C...
A 22-cm-diameter cylinder that is 43 cm long contains 44 g of
oxygen gas at 20∘C
What is the reading of a pressure gauge attached to the
tank?
Water flows at 20 cm^3/sec through a long straight tube that has an inner diameter of...
Water flows at 20 cm^3/sec through a long straight tube that has
an inner diameter of 1 cm. As the water flows, a toxin leaches from
the tube into the water. At the inner surface of the tube, the
toxin attains its saturation concentration, Csat = 2 mM.
Fortunately, upon entering the water the toxin also irreversibly
degrades into a non-toxic compound; this degradation follows
first-order kinetics.
Toxin Diffusivity D = 10^-5 cm^2/sec
Toxin mass transfer coefficient k = 1.38...
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