
To rewrite:
This function in dimensionless form, using dimensional analysis.

Answer to Problem 5.2CP
The dimensionless function is
Explanation of Solution
Given Information:
For fluid exiting a nozzle which is a gas instead of water, upstream pressure p1is large and d2,the exit diameter is small. The difference
Ref Fig 3.49:
Concept Used:
The number of pi groups are to be calculated:
Where, k is the number of variables and r is the number of fundamental references.
On substituting 5 for k and 4 for r ,
Calculation:
Dimensional analysis is applied to find the pi groups.
Where
On substituting
On equating M coefficients:
On equating
On equating T coefficients:
On equating L coefficients:
Therefore, the following values are obtained:
Therefore, the pi group is as follows:
Hence, the pi group is:
Conclusion:
The dimensionless function is
To plot:
Data using the dimensionless form obtained, a curve fit formula and a single value of a range.

Answer to Problem 5.2CP
The data is plotted as above and the measured value of
Explanation of Solution
Given Information:
For fluid exiting a nozzle which is a gas instead of water, upstream pressure p1 is large and d2, the exit diameter is small. The difference
Ref Fig 3.49:
Diameter of pipe, d2 = 1 cm
The following values of mass flow through the nozzle are shown by the measurements for flow of air:
Concept Used:
The value of
T( K) | |
300 | 0.543 |
300 | 0.54 |
300 | 0.538 |
500 | 0.543 |
800 | 0.543 |
Calculation:
The pi value is calculated by substituting 0.037 kg/s for
And
The values obtained are plotted on the graph as follows:
Hence, the measured value of
Conclusion:
The data is plotted as above and the measured value of
Want to see more full solutions like this?
Chapter 5 Solutions
Fluid Mechanics
- Solve, use engineering economic tablesarrow_forwardSolve, use engineering economic tablesarrow_forwardA pinion has a pressure angle of 20 degrees a module of 3mm and 20 teeth. It is meshed with a gear having 32 teeth. The center distance between the shafts is 81mm. Determine the gear ratio and diametral pitch .arrow_forward
- USE MATHLAB WITH CODES Estimate the damping ratio, stiffness, natural frequency, and mass of the SDOF system. Please use a MATHLAB with CODES and no negative damping ratio. Data Set 1:Time(s) Data Set 1:top1(g) Data Set 1:bottom(g)0 0.002593181 0.007262860.01 0.011367107528507709 -0.0015110660.02 0.007467585 -0.0058980290.029999999999999999 0.004542943 0.0028758970.040000000000000001 0.018678712689042091 -0.0019985060.050000000000000003 0.004542943 0.0009261360.059999999999999998 0.014779189431130886 -0.0068729090.070000000000000007 0.004055502 -0.0088226710.080000000000000002 0.008442465 -0.0015110660.089999999999999997 0.011854547366917134 -0.0039482670.10000000000000001 0.007467585 0.0058005390.11 0.004055502 0.0043382180.12 0.010392226334810257 0.0019010160.13 0.010392226334810257 -0.001998506% 0.14000000000000001 0.016728950301647186 0.0048256580.14999999999999999 0.007955025…arrow_forwardProvide an example of at least five features produced by a certain machining process (for example, a keyway to accommodate a key iarrow_forwardHow to draw a gam from the data of the subject's readings three times and difficulties in drawing a gam Material Name: Machinery Theory I'm a vehicle engineering student. Please describe details about gam in addition the law gam: 1-tangent cam with reciprocating roller follower. 2-circular arc cam with flat-faced follower.arrow_forward
- Elements Of ElectromagneticsMechanical EngineeringISBN:9780190698614Author:Sadiku, Matthew N. O.Publisher:Oxford University PressMechanics of Materials (10th Edition)Mechanical EngineeringISBN:9780134319650Author:Russell C. HibbelerPublisher:PEARSONThermodynamics: An Engineering ApproachMechanical EngineeringISBN:9781259822674Author:Yunus A. Cengel Dr., Michael A. BolesPublisher:McGraw-Hill Education
- Control Systems EngineeringMechanical EngineeringISBN:9781118170519Author:Norman S. NisePublisher:WILEYMechanics of Materials (MindTap Course List)Mechanical EngineeringISBN:9781337093347Author:Barry J. Goodno, James M. GerePublisher:Cengage LearningEngineering Mechanics: StaticsMechanical EngineeringISBN:9781118807330Author:James L. Meriam, L. G. Kraige, J. N. BoltonPublisher:WILEY





