Fluid Mechanics he balloon in the figure below has an inlet flow rate and its walls are partially elastic. The alloon has an initial diameter D = 25 mm. The gas entering the balloon has specific mass p nd velocity v = 1,5 mm/s. ne diameter of the balloon deforms according to the following range: • For D < 100 mm, the balloon suffers deformation without material resistance. • For 100 < D < 200 mm the balloon suffers deformation with material resistance and its diameter deforms linearly over time. For D > 200 mm the balloon becomes indeformable. ased on the data determine: a) The control volumes that can be used to resolve the problem. b) Among the volumes found in the previous item, which one was chosen to solve the problem and why. c) The behavior of the balloon diameter over time. d) The behavior of the specific mass of the gas over time.

Fluid Mechanics he balloon in the figure below has an inlet flow rate and its walls are partially elastic. The alloon has an initial diameter D = 25 mm. The gas entering the balloon has specific mass p nd velocity v = 1,5 mm/s. ne diameter of the balloon deforms according to the following range: • For D < 100 mm, the balloon suffers deformation without material resistance. • For 100 < D < 200 mm the balloon suffers deformation with material resistance and its diameter deforms linearly over time. For D > 200 mm the balloon becomes indeformable. ased on the data determine: a) The control volumes that can be used to resolve the problem. b) Among the volumes found in the previous item, which one was chosen to solve the problem and why. c) The behavior of the balloon diameter over time. d) The behavior of the specific mass of the gas over time.

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Concept explainers

Applied Fluid Mechanics

A fluid is a substance that is continuously deformed by the application of shear stress. The rate of deformation of a fluid depends on its viscosity. The fluid tries to flow when it interacts with some other system.

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# Fluid Mechanics
The balloon in the figure below has an inlet flow rate and its walls are partially elastic. The
balloon has an initial diameter D = 25 mm. The gas entering the balloon has specific mass p
and velocity v = 1,5 mm/s.
The diameter of the balloon deforms according to the following range:
For D < 100 mm, the balloon suffers deformation without material resistance.
For 100 < D < 200 mm the balloon suffers deformation with material resistance and
its diameter deforms linearly over time.
For D > 200 mm the balloon becomes indeformable.
Based on the data determine:
a) The control volumes that can be used to resolve the problem.
b) Among the volumes found in the previous item, which one was chosen to solve the
problem and why.
c) The behavior of the balloon diameter over time.
d) The behavior of the specific mass of the gas over time.

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