Theory-based Quiz

Brinkman Number is defined as the ratio of

Which of the following equations is the conservation of mass in the Lagrangian framework?

Which of the following statements are true for irrotational flows?

(Select the two correct answers.)

An american football is flying horizontally in air from right to left. The plot shows the pressure contours of the ball. Which region has the highest pressure?

Which of the following is true when the velocity is a function of time?

A system can be considered as an open system when :

(Select the three correct answers.)

The sensor connected to the pitot tube on a racing car is sending a record of increasing total pressure values, while the static pressure is constant. This means that the car is

Which of the following theorems can be used to convert surface integrals into volume integrals?

When a force is applied to both a solid and fluid, which of the following is true?

Which of the following is a non-intrusive (i.e. the measurement process does not disturb the flow) method of measuring temperature?

In a vertical circular water pipe $3\ m$ long with constant diameter ($D = 1\ cm$), water is flowing from inlet (bottom) to outlet (top), in a direction opposite to the gravitational force. The static pressure at the inlet is $101\ kPa$ and inlet velocity is $0.001\ m/s$. Assuming water as an incompressible fluid, the static pressure at the outlet:

Which of the following is a valid example of mass conservation?

The fundamental physical dimensions used in fluid dynamics are:

(Select the three correct answers.)

Which of the following is the correct expression for friction factor for laminar flows in round pipes? ($Re_{D}=\frac{\rho \bar{u}D}{\mu}$)

When comparing with experiments, the validity range of Oseen's approximation for low Reynolds number flows was found to be _____

Consider steady laminar axisymmetric flow of a viscous fluid between two long concentric cylinders where the outer cylinder of radius $R_{o}$ is stationary while the inner cylinder of radius $R_{i}$ rotates about the axis at a fixed angular velocity omega. Assuming that the clearance between the two cylinders is very small, i.e., ($R_{o}-R_{i}<<R_{i}$), which of the following statements about this flow setup are true:

(Select the two correct answers.)

A fluid flow exhibiting chaotic motion is generally referred to as a ______

In the case of Couette flow between two moving plates, the distribution of shear stress inside the fluid is:

Given basic dimensions of mass $M$, length $L$ and time $T$, what would be dimensions of Pressure:

For a potential flow past a circular cylinder, which of the following conditions is referred to as the D'Alembert's paradox?

What does the Reynolds Number physically represent?

Which of the following theorems can be used to transform the governing equations from the Lagrangian framework to the Eulerian framework?

The velocity profile corresponding to an axisymmetric fully developed flow in a round pipe (Axisymmetric Hagen-Poiseuille Flow) is

Which of the following equations represents the conversation of mass equation under the incompressible flow assumption?

What’s an example of a solid behaving like a fluid?

In a pitot tube mounted on an aircraft, what is the difference between the total and static pressures inside the total pressure tube?

An airplane is traveling at a Mach Number = $2$. This means the airplane is traveling at the speed which is _______ times the local speed of sound.

Two different incompressible laminar fluid flows - $A$ and $B$, through identical venturi tubes such that the pressure drop across the two venturi tubes is the same for both the fluids. If we know that the density of fluid $B$ ($\rho_B$) is four times that of fluid $A$ ($\rho_A$), then which of the following statements is true?

(Select the two correct answers.)

Consider the barometer shown in the picture. If the atmospheric pressure decreases, then the height $h$:

Which of the following is caused by the surface tension of a fluid?

(Select the two correct answers.)

The maximum velocity in an axisymmetric fully developed flow in a round pipe (radius = $R$) (Axisymmetric Hagen-Poiseuille Flow) occurs at ($r$= radial distance from the centerline):

A static pitot tube is a probe that contains two openings - at the tip and on the side (as shown in the image). The tip and side openings respectively measure the following physical quantities:

The anchor of a ship sinks to the bottom of the sea-bed because :

(Select the two correct answers.)

For any 2D planar Couette flow, the Poiseuille number is

To be considered a continuum fluid flow, the value of Knudsen number should be

The dynamic viscosity for a non-newtonian fluid is a function of which of the following?

Which of the following statements are true in the context of an aircraft stall?

(Select the two correct answers.)

An aircraft wing is oriented at an angle of attack greater than its design stall condition. To confirm that the wing indeed stalled, which of the following would you check for, with further increase in angle of attack?

What is the non-dimensional expression for time, $t^{*}$, given characteristic time $t$, characteristic length $L$ and characteristic velocity $V$

What assumptions did Navier and Stokes use to express the viscous stress tensor in terms of the velocity field?

(Select the three correct answers.)

The surface forces acting on a fluid parcel comprise of?

(Select the two correct answers.)

The liquid in a manometer is at the same height on both the tubes. This means that:

Applications of Buoyancy can be found in :

(Select the three correct answers.)

Flood gates are movable gates that are used to control the flow of water in rivers, lakes, streams, and reserviors. This gate when fully submerged arrests the flow of water and experiences a hydrostatic force. This pressure force on the gate is: