1. If an ideal solution of the flow field through a nozzle isshown with a depiction of vectors distributed at points throughoutthe nozzle that illustrate the magnitude and direction of steadyflow through those points, this depiction would be Eulerian orLagrangian (circle one)
2. If an ideal solution of the flow field through a nozzle isshown with a depiction of vectors attached to particles movingthrough the nozzle, changing magnitude and direction as they movethrough the nozzle, this depiction would be Eulerian or Lagrangian(Circle one) Consider streamlines, pathlines, and streaklines forthe following fill-in-the-blanks statements
3 through 6:
3. ____________________, __________________ and_________________ are coincidental for ______________,___________________ flow.
4. A stream of particles passing through a point would form a__________________, even if they weren’t all following the samepath.
5. For an unsteady flow, the __________________ seen in #4 wouldnot coincide with ___________________ or ________________.
6. A time exposure photograph of a visible moving flow particlewould show a __________________ of the particle.
7. The tangent to flow at a point along a _____________________can be determined as the ratio ____/____ or ____/____ and thisrelationship can be used to form the differential equation used tofind the equation of a ____________________ passing through thatpoint.
8. Flows are broadly classified by frictional effects (viscouseffects) as either _______________ or ______________, or sometimesas ______________ between these classifications.
9. Flow dominated by viscosity travels in straight pathlines andis considered _________________, and flow develops into______________ velocity profiles.
10. Flow that is erratic and mixing with particles that do NOTfollow any particular pathlines would be considered_______________, and the flow has only a slight _______________________ near walls or boundaries.
11. Non-dimensional flow is considered ______________ flow whileone-dimensional flow for example only varies with________________.
12. A flow is ____________ if it does not vary with time and________________ if it does not vary with position.
13. If a heat source is allowed to reach thermal equilibriumwith fluid flowing past it, a thermal image can reveal thevariation of temperature with position, and also indicate when theflow through the region has reached equilibrium. There would be alocal change in the rate of heating of a particle (change ofTemperature with time) in the flow field if the __________ wasunsteady (time dependent). There will be a convective change in therate at which particles would be heating due to the heatdistribution and the velocity distribution through the region.Identify and plainly label the terms associated with the LOCAL(circle these terms) and CONVECTIVE (box these terms) rates in eachof the four expressions at right.
14. The expression shown in the illustration of #13 is the_______________ or ________________ derivative.
15. It is essential to know and recognize standard forms ofequations of circles, lines, parabolas, hyperbolas and the like.Identify the following geometric forms: Y = mx + b _______________xy = C ________________ y = ax2__________________ Such equationsoften become families of curves known as _______________ used toillustrate flow patterns, and these equations are determined bymethod of #7.
16. Euler’s Equations are derived by summing forces in the________________ and _______________ directions relative to astreamline. When forces are unbalanced, a flow may be acceleratingin the __________________ direction (streamlines converging), oraccelerating in the _____________ direction (with streamlinescurving) or both.
17. Regarding Euler’s EoM valid only along A streamline, givethree additional restrictions to the use of these differentialequations of motion. __________________, ___________________, and_____________ ______________ in the normal direction.
18. Two important applications of Euler’s EoM to horizontalideal fluid flow indicate that horizontal pressure is______________ along a streamline and that variation of pressurevertically is _________________.
19. Vortical motion is generally classified by more than the twodistinct types, illustrated at right. Give examples of each ofthese types of flow, and identify one more general type. (a)(b)
20. The Bernoulli equation (BE) is obtained by__________________ the Euler equation of motion between two pointsalong a ________________ and is subject to the same restrictions asthe Euler EoM.
21. Give five reasons the BE cannot be used as illustrated onthe figure at rig
22. To be used as the energy equation for steady flows ofincompressible fluids through pipes, terms must be added to theBernoulli Equation to account for _________ head, ____________ heador head ________ through the pipe system. Show the BernoulliEquation below with those terms added, and clearly label all terms.Identify those that take place within the control volume and thosethat occur at control surfaces through which flow occurs.
23. The first law of Thermodynamics relates changes in___________________ energy,( ) to ______________ added orsubtracted from a system or ____________ lost or gained by thesystem. (Give examples of these two changes.)
24. Give the form of the energy equation for one-dimensionalsteady flow applied to both compressible and incompressible fluids,and identify each term of the equation.
25. Give the form of the energy equation for compressible flowusing enthalpy and explain/identify each term.
26. The energy equation will be identical to the BernoulliEquation under what three conditions?
