A tube with a diameter of 6.45 mm was placed in a liquid with a density of 998 kg / m3 and it was observed that the liquid increased by 1.44 mm in the tube. Find the surface tension of the fluid [N / m] by taking the contact angle 15 ° between the liquid and the tube surface.

Steam is compressed by an adiabatic compressor from 3 bar and 160°C to 10 bar and 350°C at a rate of 1.30 kg/s. The power input to the compressor is

You drop a 2 kg rock from the edge of a cliff. How much kinetic energy does the rock have when it has dropped 5 meters down? What speed does it have? [Enter your result for KE in the first answer box and your result for the speed in the second one.]

The following true stresses produce the corresponding true plastic strains for a brass alloy:

What true stress is necessary to produce a true plastic strain of 0.25?

11. Draw a schematic of a swash plate axial piston pump with inclined pistons. Explain briefly its function and give an expression for its geometric volume.

A 60 kg Drum of diameter 40 cm containing waste material of density 1100 kg/m^3 is being lifted by a steel cable of diameter 30 mm. When the drum is hoisted 10m the natural frequency is measured to be 40 Hz. Determine the volume of the waste in the drum.

G6C5_EOC32 including the following clarifications/additions/modifications: [10] - Interpret “Make two plots on one page.” to mean in the same Figure Window. - Include grid lines in both plots to make it easier to interpret the plots.

For the case of uniform body forces, show that the plane stress equilibrium equations imply that

2∂ ² τ_xy/∂x∂y = − ∂²σx/∂x² − ∂²σ_y /∂y²

how is the angle between power strokes determine

Estimate a real root of the polynomial f(x) = 5x⁴-2x³-25x²-6x+45 between x=1 and x=2 (using bisection, Standard Newton-Raphson, Secant, and modified Newton-Raphson, and modified Secant methods). Show the detailed calculations for 5 iterations (for each method)

A normal shock moves at a constant velocity of 500 m/s into still air (100 kPa, 0◦C). Determine the static and stagnation conditions present in the air after the passage of the wave, as well as the gas velocity behind the wave.

Hint: consider an observer moving with the wave.

Show step by step the answer and write clearly

Consider a steam power plant operating on the ideal reheat Rankine cycle.

The steam enters the high-pressure stage turbine at 15 MPa and 600 ^oC and

the condenser pressure is 10 kPa. If the intermediate pressure is 4 MPa

and the steam enters the low-pressure stage turbine at 600 ^oC, determine

the following:

(a) Enthalpy at the end of each process

(b) Heat added

(c) Heat rejected

(d) Work of pump and turbines

(e) Thermal efficiency of this cycle.

28. Fluid Momentum problems are solved with the aid of two diagrams of such problems. Explain, list or define items which would be included on each of the two diagrams required, and describe or show features common to both diagrams. Why are these two drawings typically kept separate?

29. Propellers and turbines are similar in that both act as screws. Attribute each of the following to Props, Turbines, or Both:

a. __________Average velocity through the blades, (V1 + V2)/2

b. __________Flow increases in velocity through the blades, increasing momentum of the flow

c. __________Flow decreases in velocity through the blades, decreasing momentum of the flow

d. __________CV Power output represented by Force times Velocity of the control volume

e. __________CV Power output represented by Force time Velocity through the blades

f. __________CV Power input represented by Force time Velocity through the blades

g. __________CV Power input represented by Force times Velocity into the control volume

h. __________Efficiency best at a ratio of Vout/Vin = 1/3, 59.3% efficiency at this point

i. __________Efficiency varies greatly with speed, but in airflow, 60-80%, in water 40-60% might be typical for applications

j. __________Froude’s Theorem applies (also identify application of this theorem in this list)

k. __________Bette’s Law applies (also identify application of this law in this list)

30. For applications with control volumes having accelerated motion, how is Newton’s 2nd Law, the standard momentum equation, expanded to include inertial effects plus local and convective changes in momentum through the control volume?

1. If an ideal solution of the flow field through a nozzle is shown with a depiction of vectors distributed at points throughout the nozzle that illustrate the magnitude and direction of steady flow through those points, this depiction would be Eulerian or Lagrangian (circle one)

2. If an ideal solution of the flow field through a nozzle is shown with a depiction of vectors attached to particles moving through the nozzle, changing magnitude and direction as they move through the nozzle, this depiction would be Eulerian or Lagrangian (Circle one) Consider streamlines, pathlines, and streaklines for the 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 same path.

5. For an unsteady flow, the __________________ seen in #4 would not coincide with ___________________ or ________________.

6. A time exposure photograph of a visible moving flow particle would show a __________________ of the particle.

7. The tangent to flow at a point along a _____________________ can be determined as the ratio ____/____ or ____/____ and this relationship can be used to form the differential equation used to find the equation of a ____________________ passing through that point.

8. Flows are broadly classified by frictional effects (viscous effects) as either _______________ or ______________, or sometimes as ______________ between these classifications.

9. Flow dominated by viscosity travels in straight pathlines and is considered _________________, and flow develops into ______________ velocity profiles.

10. Flow that is erratic and mixing with particles that do NOT follow any particular pathlines would be considered _______________, and the flow has only a slight ___________ ____________ near walls or boundaries.

11. Non-dimensional flow is considered ______________ flow while one-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 equilibrium with fluid flowing past it, a thermal image can reveal the variation of temperature with position, and also indicate when the flow through the region has reached equilibrium. There would be a local change in the rate of heating of a particle (change of Temperature with time) in the flow field if the __________ was unsteady (time dependent). There will be a convective change in the rate at which particles would be heating due to the heat distribution 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 each of 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 of equations of circles, lines, parabolas, hyperbolas and the like. Identify the following geometric forms: Y = mx + b _______________ xy = C ________________ y = ax2__________________ Such equations often become families of curves known as _______________ used to illustrate flow patterns, and these equations are determined by method of #7.

16. Euler’s Equations are derived by summing forces in the ________________ and _______________ directions relative to a streamline. When forces are unbalanced, a flow may be accelerating in the __________________ direction (streamlines converging), or accelerating in the _____________ direction (with streamlines curving) or both.

17. Regarding Euler’s EoM valid only along A streamline, give three additional restrictions to the use of these differential equations of motion. __________________, ___________________, and _____________ ______________ in the normal direction.

18. Two important applications of Euler’s EoM to horizontal ideal fluid flow indicate that horizontal pressure is ______________ along a streamline and that variation of pressure vertically is _________________.

19. Vortical motion is generally classified by more than the two distinct types, illustrated at right. Give examples of each of these 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 points along a ________________ and is subject to the same restrictions as the Euler EoM.

21. Give five reasons the BE cannot be used as illustrated on the figure at rig

22. To be used as the energy equation for steady flows of incompressible fluids through pipes, terms must be added to the Bernoulli Equation to account for _________ head, ____________ head or head ________ through the pipe system. Show the Bernoulli Equation below with those terms added, and clearly label all terms. Identify those that take place within the control volume and those that occur at control surfaces through which flow occurs.

23. The first law of Thermodynamics relates changes in ___________________ energy,( ) to ______________ added or subtracted from a system or ____________ lost or gained by the system. (Give examples of these two changes.)

24. Give the form of the energy equation for one-dimensional steady 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 flow using enthalpy and explain/identify each term.

26. The energy equation will be identical to the Bernoulli Equation under what three conditions?

consider a fuel cell operating at 800 degrees Celcius, and 1 atm. In the cathode, humidified air is supplied with the mole fraction of water vapor equal to 0.1. If the fuel cell employs circular flow channels with a diameter of 1 mm, find the maximum velocity of air that can be used while still maintaining laminar flow.
(Fuel Cell Fundamentals, O'Hayre - Chapter 5 Problem 5.6)