Forces and Equations in Viscous Fluids Quiz

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Questions and Answers

What is the rate of change of velocity with distance called?

  • Velocity flux
  • Velocity gradient (correct)
  • Velocity constant
  • Velocity coefficient

According to Newton's law of viscosity, viscous force is directly proportional to which two factors?

  • Pressure and temperature
  • Time and acceleration
  • Surface area and velocity gradient (correct)
  • Density and volume

What does the coefficient of viscosity represent?

  • The thickness of the liquid layer
  • The energy loss due to viscosity
  • A constant related to the liquid's viscosity (correct)
  • The force applied by viscosity

Stokes' Law is related to which situation?

<p>Viscous force acting on a falling spherical object (B)</p> Signup and view all the answers

In the context of momentum transfer, what does 'dv' represent?

<p>Rate of change of velocity (C)</p> Signup and view all the answers

What does 'A' represent in the equation f = η(dv/dx)A?

<p>Area of the layer parallel to flow direction (C)</p> Signup and view all the answers

What is the relationship between the velocity of an object moving through a viscous fluid and the terminal velocity in that fluid?

<p>The velocity is always less than the terminal velocity. (D)</p> Signup and view all the answers

Which formula represents the mass flux in fluid dynamics?

<p>$\rho \frac{dV}{dt} = \frac{dm}{dt}$ (A)</p> Signup and view all the answers

What does the equation of continuity describe in fluid dynamics?

<p>The conservation of mass in a fluid. (A)</p> Signup and view all the answers

What does the symbol $A_v$ represent in the context of volume rate of flow?

<p>Volume rate of flow. (B)</p> Signup and view all the answers

In the equation $\rho \frac{dV}{dt} = \frac{dm}{dt}$, what does $\rho$ represent?

<p>Density of the fluid. (D)</p> Signup and view all the answers

What happens to the velocity of a fluid particle as it moves from a wider section to a narrower section?

<p>It increases. (A)</p> Signup and view all the answers

What does the continuity equation state for a steady flow of an incompressible fluid?

<p>The volume rate of flow remains constant throughout the flow (C)</p> Signup and view all the answers

Why does a particle speed up when entering a narrower section of a fluid flow?

<p>Because of a decrease in pressure (A)</p> Signup and view all the answers

In a tube of flow, why is the mass of fluid constant within the region between two sections?

<p>Matter cannot be created or destroyed within the tube (D)</p> Signup and view all the answers

What is the relationship between the volume rate of flow and the width of a fluid flow?

<p>Volume rate of flow is directly proportional to the width (D)</p> Signup and view all the answers

What determines the volume of fluid entering a tube through a cross-section at a point in time?

<p>Velocity of the fluid at that point (A)</p> Signup and view all the answers

How does an incompressible fluid behave when moving through sections of varying widths?

<p>It speeds up in narrower sections and slows down in wider sections (C)</p> Signup and view all the answers

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