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.
An electrical wire of 2 mm diameter and 5 m length is insulated with a plastic layer of thickness 2 mm and thermal conductivity \( k = 0.1 \) W/(m·K). It is exposed to ambient air at 30°C. For a current of 5 A, the potential drop across the wire is 2 V. The air-side heat transfer coefficient is 20 W/(m²·K). Neglecting the thermal resistance of the wire, the steady-state temperature at the wire-insulation interface __________°C (rounded off to 1 decimal place).
GIVEN:
Kinematic viscosity: \( \nu = 1.0 \times 10^{-6} \, {m}^2/{s} \)
Prandtl number: \( {Pr} = 7.01 \)
Velocity boundary layer thickness: \[ \delta_H = \frac{4.91 x}{\sqrt{x \nu}} \]
Consider two identical tanks with a bottom hole of diameter \( d \). One tank is filled with water and the other tank is filled with engine oil. The height of the fluid column \( h \) is the same in both cases. The fluid exit velocity in the two tanks are \( V_1 \) and \( V_2 \). Neglecting all losses, which one of the following options is correct?
Bird : Nest :: Bee : __________
Select the correct option to complete the analogy.
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).