Fluid Dynamics Boundary Conditions Quiz

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What is the relationship between the velocities at points A and B according to the given information?

They are equal (correct)

They are inversely proportional

Point B velocity is higher than point A velocity

Point A velocity is higher than point B velocity

In a fully developed laminar flow in a circular tube, what does the friction factor depend on?

Pressure difference across the tube

Both Reynolds number and pipe roughness (correct)

Pipe roughness only

Flow rate only

What is the friction factor for fully developed incompressible turbulent flow in a smooth tube according to the Blasius Formula?

0.316NRe^(-1/4) (correct)

0.62NRe^(-1/3)

NRe^(1/2)

0.5NRe^(-1/2)

What is the rate of discharge at point B, given the velocity and diameter of the circular tube?

$0.01 m^3/s$ Signup and view all the answers

If the friction between water and pipe walls was not negligible, how would that affect the rate of discharge at point B?

Decrease Signup and view all the answers

What does the Bernoulli equation allow us to calculate in this scenario?

Velocity at different points along the tube Signup and view all the answers

What is the main purpose of the equation of motion in fluid mechanics?

To determine the velocity distribution of the fluid Signup and view all the answers

At the liquid/gas interface, what is the condition regarding momentum flux and velocity gradient in the liquid?

Both momentum flux and velocity gradient are zero Signup and view all the answers

In fluid mechanics, what is a key step in solving problems related to forced convection?

Determining relevant velocity components Signup and view all the answers

What does it mean for two immiscible liquids to have continuous velocity and momentum flux across the interface?

Velocity and momentum flux are constant Signup and view all the answers

Which step in the solution procedure for fluid mechanics involves eliminating zero terms from the equation of continuity?

Determining relevant velocity components Signup and view all the answers

In materials science, which boundary condition is valid for the solid/fluid interface?

'The velocity gradient in the solid is zero' Signup and view all the answers

What does the Hagen-Poiseuille Law relate to?

Pressure drop Signup and view all the answers

In laminar flow through a circular pipe, how does the maximum velocity vary with radius r?

Parabolically Signup and view all the answers

What differentiates turbulent flow from laminar flow?

Velocity fluctuates all the time in turbulent flow Signup and view all the answers

Which law is known as the Blasius one-seventh power law?

Hagen-Poiseuille Law Signup and view all the answers

What does Eqn 5-46 describe in the context of laminar flow through a vertical tube?

Pressure drop calculation Signup and view all the answers

What is the z-component of the force, FZ, in the context of fluid flow through a pipe?

$2\pi R L \frac{dvz}{dz}$ Signup and view all the answers

What does Eqn 5-49 represent in the context of laminar flow?

$VZ$ calculation Signup and view all the answers

$\Delta P$ in laminar flow through a vertical tube can be defined as:

$P_O - P_L$ Signup and view all the answers

What are the boundary conditions described by Eqn 5-47 and Eqn 5-48?

$dV_z/dr = 0$ at r = 0 and $V_z = 0$ at r = R Signup and view all the answers

What is the average velocity calculated as for laminar flow through a vertical tube?

$\frac{2 \pi R}{R^2} \int_0^R \int_0^{2 \pi} V_z rdrd\theta$ Signup and view all the answers