18 Questions
What is the rate of change of velocity with distance called?
Velocity gradient
According to Newton's law of viscosity, viscous force is directly proportional to which two factors?
Surface area and velocity gradient
What does the coefficient of viscosity represent?
A constant related to the liquid's viscosity
Stokes' Law is related to which situation?
Viscous force acting on a falling spherical object
In the context of momentum transfer, what does 'dv' represent?
Rate of change of velocity
What does 'A' represent in the equation f = η(dv/dx)A?
Area of the layer parallel to flow direction
What is the relationship between the velocity of an object moving through a viscous fluid and the terminal velocity in that fluid?
The velocity is always less than the terminal velocity.
Which formula represents the mass flux in fluid dynamics?
$\rho \frac{dV}{dt} = \frac{dm}{dt}$
What does the equation of continuity describe in fluid dynamics?
The conservation of mass in a fluid.
What does the symbol $A_v$ represent in the context of volume rate of flow?
Volume rate of flow.
In the equation $\rho \frac{dV}{dt} = \frac{dm}{dt}$, what does $\rho$ represent?
Density of the fluid.
What happens to the velocity of a fluid particle as it moves from a wider section to a narrower section?
It increases.
What does the continuity equation state for a steady flow of an incompressible fluid?
The volume rate of flow remains constant throughout the flow
Why does a particle speed up when entering a narrower section of a fluid flow?
Because of a decrease in pressure
In a tube of flow, why is the mass of fluid constant within the region between two sections?
Matter cannot be created or destroyed within the tube
What is the relationship between the volume rate of flow and the width of a fluid flow?
Volume rate of flow is directly proportional to the width
What determines the volume of fluid entering a tube through a cross-section at a point in time?
Velocity of the fluid at that point
How does an incompressible fluid behave when moving through sections of varying widths?
It speeds up in narrower sections and slows down in wider sections
Test your knowledge on the total downward force, total upward force, weight of a sphere, viscous force, and terminal velocity in viscous fluids. Also includes questions on the equation of continuity.
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