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Acceleration

QuestionAnswer
What is the lagrangian frame of reference? A fluids property as it changes in time
What is the Eulerisn frame of reference? A fluids property at a particular position in space.
What is a pathline? The history of the position of a single particle.
What frame of reference is a pathline? Lagrangian
What is a streakline? A line connecting all the particles that have passed through the same point at an instant in time.
What is a streamline? A line which is tangent to all velocity vectors?
What frame of reference is a streamline? Eulerian
How do you derive the equation of a streamline in 2D? Solve the following equation ∫v dx = ∫u dy
How do you derive the equation of a streamline in 3D? Solve the following equation dy/v = dx/u = dz/w
What are the characteristics of a steady flow? Is not time dependent and streamlines, streamlines and pathlines are the same.
What is acceleration? Rate of change of velocity a = dV/dt where V = f(x,y,z,t)
What is convective acceleration? Acceleration due to a fluid particles change in position in space. = u dV/dx + v dV/dy + w dV/dz Eulerian
What is local/temporal acceleration? Acceleration due to time. = dV/dt Lagrangian
What is a stagnation point? A point where a fluids velocity is equal to 0.
When is flow parallel to an axis? When the velocity is 0 in other directions.