The stagnation pressure is the sum of the static pressure and dynamic pressure at a point in a fluid flow. It represents the pressure a fluid would reach if it were brought to rest isentropically (without heat exchange or dissipation).
Step 1: Definition of static and dynamic pressure.
Static pressure is the pressure exerted by a fluid at rest, while dynamic pressure is associated with the velocity of the fluid flow. The total pressure at a point in the flow is the sum of these two pressures.
Step 2: Analyze each option.
(A) Incorrect. Kinematic pressure is not a term used to describe the sum of static and dynamic pressures.
(B) Incorrect. Vacuum pressure refers to pressures lower than atmospheric pressure, not the sum of static and dynamic pressures.
(C) Correct. Stagnation pressure is the sum of static pressure and dynamic pressure.
(D) Incorrect. Kinetic pressure refers to pressure related to the motion of the fluid, but not specifically the sum of static and dynamic pressures.
A negligibly thin horizontal plate PQ has a length 3 m and width 1 m. It is being pulled along its length at a speed of 1 m/s in between two static parallel plates as shown in the figure. The gap of 6 cm between the plates is filled with a Newtonian fluid of dynamic viscosity \( \mu = 0.2 \, {N-s/m}^2 \). The thin plate is located at 3 cm from the top surface. The velocity distribution between the thin plate and the static plates is linear.
The steady force required to pull the plate is __________ N (answer in integer).
Match the non-dimensional numbers in Column 1 with the corresponding definitions in Column 2:
A closed system is undergoing a reversible process 1–P–2 from state 1 to 2, as shown in the figure, where X and Y are thermodynamic properties. An irreversible process 2–Q–1 brings the system back from 2 to 1. The net change in entropy of the system and surroundings during the above-mentioned cycle are _______ respectively.
A ship of 3300 tonne displacement is undergoing an inclining experiment in seawater of density 1025 kg/m\(^3\). A mass of 6 tonne is displaced transversely by 12 m as shown in the figure. This results in a 0.12 m deflection of a 11 m long pendulum suspended from the centerline. The transverse metacenter of the ship is located at 7.25 m above the keel.
The distance of the center of gravity from the keel is ________ m (rounded off to two decimal places).
A multi-cell midship section of a ship with \( B = 40 \, {m} \) and \( D = 20 \, {m} \) is shown in the figure. The shear-flows are given as \( q_1 = q_2 = q_3 = 0.9376 \, {MN/m} \). The applied twisting moment on the midship section is ___________ MN·m (rounded off to two decimal places).
Consider a weightless, frictionless piston with a 2 kg mass placed on it as shown in the figure. At equilibrium in position 1, the cylinder contains 0.1 kg of air. The piston cross-sectional area is 0.01 m2. The ambient pressure in the surroundings outside the piston-cylinder arrangement is 0 bar (absolute). When the mass above the piston is removed instantaneously, it moves up and hits the stop at position 2, which is 0.1 m above the initial position.
Assuming \( g = 9.81 \, {m/s}^2 \), the thermodynamic work done by the system during this process is ________ J (answer in integer).