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Recap: Compressible Flow | Fluid Mechanics for Mechanical Engineering PDF Download
Recap
In this course you have learnt the following
- Fluid density varies mainly due to a large Ma flow. This leads to a situation where continuity & momentum equation can be coupled to the energy equation and the equation of state to solve four unknowns- P, T, V, ρ.
- The stagnation enthalpy and hence T0 are conserved in isentropic flows. The effect of area variation in on flow properties in an isentropic flow is of great significance. This reveals the phenomenon of choking at the sonic velocity in the throat of a nozzle.
- At choke condition, the ratio of throat pressure to stagnation pressure is constant and is equal to 0.528 for γ=1.4.
- At supersonic velocities, the normal shock wave appears across which the gas discontinuity reverts to the subsonic conditions.
- Fanno and Rayleigh line flows both entail choking of the exit flow. The conditions before and after a normal shock are defined by the points of intersection of Fanno and Rayleigh lines on a T-s Diagram.
- If a supersonic flow is made to change its direction, the oblique shock is evolved. The oblique shock continues to bend in the downstream direction until the Mach Number of the velocity component normal to the wave is unity.
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FAQs on Recap: Compressible Flow - Fluid Mechanics for Mechanical Engineering
| 1. What is compressible flow in mechanical engineering? |  |
Ans. Compressible flow refers to the flow of a fluid where its density changes significantly, leading to changes in its compressibility and speed of sound. In mechanical engineering, compressible flow is commonly encountered in applications such as gas turbines, jet engines, and high-speed aerodynamics.
| 2. How is compressible flow different from incompressible flow? | |
Ans. Compressible flow differs from incompressible flow in that the density of the fluid changes significantly during the flow. In incompressible flow, the density remains constant, and the fluid is considered to be incompressible. Compressible flow, on the other hand, involves changes in density, which affect the fluid's compressibility and speed of sound.
| 3. What are some important properties of compressible flow? | |
Ans. Some important properties of compressible flow include the Mach number, which represents the ratio of the fluid's speed to the local speed of sound. Other properties include the density, temperature, pressure, and velocity of the fluid. These properties play a crucial role in analyzing and designing compressible flow systems.
| 4. What are the key factors affecting compressible flow in mechanical engineering? | |
Ans. Several factors can affect compressible flow in mechanical engineering. Some key factors include the temperature and pressure gradients, the geometry of the flow path, the viscosity of the fluid, and the presence of shock waves. These factors influence the compressibility and behavior of the fluid during flow.
| 5. How is compressible flow analyzed in mechanical engineering? | |
Ans. Compressible flow is typically analyzed using equations and principles derived from fluid dynamics and thermodynamics. Engineers often use computational fluid dynamics (CFD) simulations to model and predict the behavior of compressible flow. Additionally, experimental techniques, such as wind tunnel testing, can be employed to validate and refine the analysis of compressible flow systems.
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