al Engineering l Mechanies, ENGI 2420 Section: 20 Prof: Hugo Peláez, Student Nam

Question

al Engineering l Mechanies, ENGI 2420 Section: 20 Prof: Hugo Peláez, Student Name 1. Establish the best a) Local derivative b) Mach number c) Eulerian method ) Streamline (5 pts). spatial derivative tangent to the velocity vector time derivative related to the speed of sound fixed frame of reference Convective derivative TRUE or FALSE? (10 pts) a flow is steady, its density may change with time at a given location. Reynolds transport theorem involves both steady and unsteady effects. lid pipe is an example of a deforming control volume. t and output of fluid occurs at the surface control. grangian method we can use a dev ice that follows the movement of the neters a sphere float will raise into a tapered tube. a stagnation point in the Pitot tube used to determine the velocit h scale of 1/5 for the model, its velocity should be 5 times of the prototype

Explanation / Answer

1.

(a) Local derivative : Time derivative  
The rate of change of a quantity with respect to time at a fixed point of a fluid

(b) Mach Number : related to the speed of sound

Mach number is the ratio of the speed of a body to the speed of sound in the surrounding medium. E.g. Mach 1 mean speed of body is same as speed of sound

(c) Eulerian Method : Fixed frame of reference

The Eulerian specification of the flow field is a way of looking at fluid motion that focuses on specific locations in the space through which the fluid flows as time passes. This can be visualized by sitting on the bank of a river and watching the water pass the fixed location.

(d) Streamline : Tangent to the velocity vector

Streamlines are a family of curves that are instantaneously tangent to thevelocity vector of the flow.

(e) Convective Derivative

The convective derivative is a derivative taken with respect to a moving coordinate system

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