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When an object travels faster than the local speed of sound, a shock forms because
Disturbances cannot travel upstream
In an ideal gas, the speed of sound depends on
Temperature and specific heat ratio
The total-to-static pressure ratio after a normal shock is lower than before primarily due to
Irreversibility in the shock process
If flow upstream of a normal shock is subsonic, the shock will
Not be physically possible
A Pitot tube in supersonic flow before and after a normal shock will read
Higher total pressure upstream of the shock
What is the significance of total temperature in a normal shock analysis?
It remains constant across the shock
In an expansion fan, the streamlines
Spread smoothly and turn away from each other
What makes a Prandtl-Meyer expansion isentropic?
Each wave in the fan behaves as an infinitesimally weak disturbance
Which of the following best describes a Mach wave?
The limiting case of an infinitesimally weak oblique shock
How is information propagated in supersonic flow that leads to shock formation?
Via molecular collisions that fail to move upstream
In a steady, inviscid, adiabatic flow, which quantity is constant along a streamline?
Total enthalpy
What does the total temperature represent in a compressible flow?
Temperature when brought to rest adiabatically
Which assumption must be added to adiabatic flow to define total pressure?
Reversible
Total pressure in a compressible flow
Remains constant for isentropic flow
Why does a normal shock wave result in an increase in entropy?
The process is non-isentropic and involves internal dissipation
What distinguishes isentropic flow from merely adiabatic flow?
Absence of dissipative effects
Which condition justifies the assumption of isentropic flow over most of an airfoil?
Thin boundary layers outside which viscous effects are negligible
What is the main reason pressure increases drastically across a normal shock?
Kinetic energy is transformed into internal energy
Which quantity does a Pitot tube measure in compressible flow?
Total pressure
Why is the flow behind a normal shock always subsonic?
The deceleration causes the Mach number to drop below unity
Which thermodynamic quantity does not change across a normal shock?
Total enthalpy
Which of the following best describes the transformation across a normal shock?
Kinetic energy to internal energy
In the derivation of shock equations, which effects are neglected?
The control volume isolates one direction
What happens if two left-running shock waves intersect?
A stronger shock continues
What makes a normal shock different from a sound wave?
Shocks cause finite changes in properties, sound waves involve infinitesimal changes
What causes an oblique shock to form when a supersonic flow encounters a concave corner?
Flow is turned into itself, requiring a pressure adjustment
Why can one-dimensional flow equations be used to analyze changes across an oblique shock?
Only the normal component of velocity governs property changes
What flow parameter ensures the formation of an attached oblique shock on a wedge?
The wedge angle must be less than the maximum deflection angle
Why does entropy increase across a shock?
Due to irreversible compression
A process that is adiabatic and has increasing entropy is
Irreversible
Which of the following best explains the meaning of total temperature in compressible flow analysis?
The temperature a gas would reach if decelerated to rest adiabatically
In a wind tunnel with a standing normal shock, which statement is accurate about flow past the shock?
It decelerates from supersonic to subsonic
Why is the velocity in region 2 always lower than region 1 across a normal shock?
Part of the kinetic energy is converted into internal energy
How thick is the region across a normal shock?
Extremely thin, typically molecular in scale
The deflection angle in an oblique shock scenario is
The angle by which the flow is turned due to a surface
Why is there a maximum deflection angle for a given upstream Mach number?
Beyond that angle, no attached oblique shock solution exists
Why is the Mach number a useful criterion for compressibility?
It relates flow velocity to sound speed