17 Questions
Which equation represents Bernoulli's Principle?
P1 + ½ rv12 W = DKE + DPE + rgy1 = P2 + ½ rv22 + rgy2
According to the Continuity Equation, what is the condition for mass flowrate in a tube with single entry and single exit point?
r1A1v1 = r2A2v2
What is the main principle behind the continuity equation in fluid dynamics?
Conservation of mass
When does a faucet on the second floor of a house have zero water flow even if open?
When the height exceeds the pressure head
What happens to the gauge pressure of a faucet located 6.5m above the first floor of a house?
It increases
What is the primary focus of Hydrostatics in Fluid Mechanics?
Fluids at rest
What is the principle that states any fluid applies buoyant force to an object immersed in it?
Archimedes' Principle
In the context of floating objects, what does the Principle of Flotation state?
The object displaces a weight of fluid greater than its own weight.
Which principle explains why ships float in water?
Archimedes' Principle
Which principle involves the undiminished transmission of pressure in a fluid confined in a container?
Pascal's Principle
What is the main concept behind Bernoulli's Principle in Fluid Mechanics?
Total energy in a fluid system is conserved
If a submerged object weighs less than the buoyant force acting on it, what will happen to the object?
It will float to the surface.
Which principle deals with the transmission of pressure in a confined fluid?
Pascal's Principle
In which situation will an object float in a fluid?
Weight of object is less than buoyant force.
What does the Continuity Equation in Fluid Mechanics describe?
The conservation of mass in fluid flow
How does Archimedes' Principle relate to the floating of large ships?
It provides an understanding of why ships can float
What happens to the pressure in a fluid when its velocity increases according to Bernoulli's Principle?
Pressure decreases with increased velocity.
Study Notes
Bernoulli's Principle and Equation
- Bernoulli's Principle: the pressure in a fluid decreases with increased velocity of the fluid
- Bernoulli's Equation: P1 + ½rv12 + rgy1 = P2 + ½rv22 + rgy2
- Continuity Equation: m1 = m2, r1A1v1 = r2A2v2 for an incompressible fluid, where Q = A1v1 = volumetric flow rate
Fluid Mechanics
- Definition: substances that yield readily to any force that alters its shape and therefore flows
- Types: liquids or gases
- Kinds of Fluid Mechanics:
- Hydrostatics: for fluids at rest
- Fluid Kinematics: for fluids in motion
Archimedes' Principle
- Any fluid applies buoyant force to an object that is partially or completely immersed in it
- Buoyant Force (BF): force equal to the weight of the fluid that the object displaces
- BF = rVg, where r = density of fluid and V = volume of object
- Conditions for sinking, floating, or remaining at a level:
- weight of submerged object > BF, object will sink
- weight of submerged object = BF, object will remain at a level
- weight of submerged object < BF, object will float to the surface
Principle of Flotation
- A floating object displaces a weight of fluid equal to its own weight
Pascal's Principle
- The pressure applied to a fluid confined in a container is transmitted undiminished throughout the fluid and acts in all directions
- Hydraulic Jack: an application of Pascal's Principle
Test your knowledge on Bernoulli’s Principle, Bernoulli’s Equation, and the Continuity Equation. Topics covered include fluid flow, mass flow rate, and volumetric flow rate calculations. Example problems from Cutnell (9th Ed) 11-85 are included in this quiz.
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