3. Fluid Mechanics

Fluid Dynamics — Quiz

Test your understanding of fluid dynamics with 5 practice questions.

Practice Questions

Question 1

Given a velocity field $\mathbf{v}=(Ax,-Ay,0)$ in Cartesian coordinates, what must $A$ be for the flow to be incompressible?

Question 2

In the Euler equation $\rho\bigl(\partial\mathbf{v}/\partial t+(\mathbf{v\cdot\nabla})\mathbf{v}\bigr)=-\nabla p+\rho\mathbf{g}$, which term represents convective acceleration?

Question 3

A pump raises fluid from point 1 to point 2. Given $p_1=100\,$kPa, $v_1=2\,$m/s, $z_1=5\,$m; $p_2=150\,$kPa, $v_2=4\,$m/s, $z_2=25\,$m; head loss $h_L=3\,$m; $\rho=1000\,$kg/m^3 and $g=9.81\,$m/s^2, what is the required pump head $h_p$?

Question 4

A nozzle has inlet area $A_1=0.01\,$m^2, $v_1=10\,$m/s, $p_1=200\,$kPa; exit area $A_2=0.02\,$m^2, $v_2=5\,$m/s; fluid density $\rho=1000\,$kg/m^3. What exit pressure $p_2$ yields zero net force on the nozzle?

Question 5

For laminar flow in a circular pipe with diameter $D=0.01\,$m, length $L=5\,$m, velocity $v=0.1\,$m/s, $\rho=1000\,$kg/m^3, $\mu=0.001\,$Pa$\,$s, what is the head loss $h_f$?