(Dimensional Analysis)If the velocity V in a fluid flow depends on a dimension 1, the fluid density p, and theviscosity µ, show that this implies that the Reynolds number Vlp/µ is constant.

Answered: Image /qna-images/answer/d7e71cf3-5db8-4bf5-b83e-1425e605b239.jpg

Answered: (Dimensional Analysis) If the velocity…

Elements Of Electromagnetics

7th Edition

ISBN:9780190698614

Author:Sadiku, Matthew N. O.

Publisher:Sadiku, Matthew N. O.

ChapterMA: Math Assessment

Section: Chapter Questions

Problem 1.1MA

See similar textbooks

Similar questions

b
A plate 0.05mm distance from a fixed plate moves at 1.25 m/s and required a force per unit area of 3 Pa to maintain this speed by using an oil of specific gravity 0.65. Find the dynamic viscosity in centipoise and kinematic viscosity in stokes of the fluid between the plates. Calculate the specific weight in kN/m³, density, and the specific gravity of a liquid having a volume of 662900 cm and weight of 55 kN
The company has opted to purchase a new viscometer for you, as such, you are required by topropose two options for new viscometers. Select two viscometers and explain their operation andconstraints. (P3)b. (P4) Given that you achieved the following results with a U-Tube viscometer:Temperature/ C Time / s40 5760 4180 29100 16Calculate the viscosity at each temperature if the calibration constant is 0.511.d. (M2) Illustrate the results on a graph of temperature vs viscosity and give a briefing on what yourresults indicate, identifying the response of the oil to temperature and explaining anydiscrepancies that may have occurred during the testing.e. (D2) From your testing you discovered that you had a Newtonian and Non-Newtonian sample.Explain to your team what the two terms mean with respect to temperature and shear force onboth samples, giving at least one example of each type of fluid.
Q6: Using Raleigh’s method, Analyze an equation to determine the resistance, P of a sphere of diameter, D moving with a velocity, v in an incompressible and unlimited medium of specific mass, ρ and coefficient of viscosity μ
The kinematic viscosity of and specific gravity of a liquid are 3.5 x 10-4 m^2 /s and 0.79, respectively. What is the dynamic viscosity of the liquid in N-s/m^2?
A thin layer of spherical particles rests on the bottom of a horizontal tube as shown in the figure below. When an incompressible fluid flows through the tube, it is observed that at some critical velocity the particles will rise and be transported along the tube. A model is to be used to determine this critical velocity. Assume the critical velocity, V, to be a function of the pipe diameter, D, particle diameter, d, the fluid density, p, and viscosity, μ, the density of the particles, Pp, and the acceleration of gravity, g. For a length scale of Dm/D=1/2 and a fluid density scale of Pm/p=1/0.9, what will be the critical velocity scale V/V (assuming all similarity requirements are satisfied)? Vm/V= i
Using dimensional analysis, show that
1. A model submarine is tested in a sea water tank at a speed of 30 m/s. The prototype speed should be 21.6 km/hr. (a) Determine the geometric scale between the model and the prototype (b) Determine the model speed if it is tested in a pressurized air wind tunnel with 12/s. kinematic viscosity v = 8 × 10-7 m² /s. For sea water use v = 1.124 × 10-6 m² /s.
Measurements at a certain point of a pipe have been done where the following parameters were recorded: Fluid of density = 887 kg/m3, Fluid velocity = 4 m/s, Pressure= 11.3 KN/m2 If the total energy per unit weight at this point = 32 m, then the potential energy is:
A viscous liquid is tested using a cone-and-plate rheometer that has a radius of 60 mm and cone angle of 2.5° for which the following data are obtained: Speed (rpm) Torque (Nm) 0.022 0.036 0.055 0.067 0.077 0.086 0.093 0.098 0.102 7.5 15 30 45 60 75 90 105 120 Evaluate the type and properties of the non-Newtonian fluid being tested.

Recommended textbooks for you

Elements Of Electromagnetics

Mechanical Engineering

ISBN:

9780190698614

Author:

Sadiku, Matthew N. O.

Publisher:

Oxford University Press

Mechanics of Materials (10th Edition)

Mechanical Engineering

ISBN:

9780134319650

Author:

Russell C. Hibbeler

Publisher:

PEARSON

Thermodynamics: An Engineering Approach

Mechanical Engineering

ISBN:

9781259822674

Author:

Yunus A. Cengel Dr., Michael A. Boles

Publisher:

McGraw-Hill Education

Elements Of Electromagnetics

Mechanical Engineering

ISBN:

9780190698614

Author:

Sadiku, Matthew N. O.

Publisher:

Oxford University Press

Mechanics of Materials (10th Edition)

Mechanical Engineering

ISBN:

9780134319650

Author:

Russell C. Hibbeler

Publisher:

PEARSON

Thermodynamics: An Engineering Approach

Mechanical Engineering

ISBN:

9781259822674

Author:

Yunus A. Cengel Dr., Michael A. Boles

Publisher:

McGraw-Hill Education

Control Systems Engineering

Mechanical Engineering

ISBN:

9781118170519

Author:

Norman S. Nise

Publisher:

WILEY

Mechanics of Materials (MindTap Course List)

Mechanical Engineering

ISBN:

9781337093347

Author:

Barry J. Goodno, James M. Gere

Publisher:

Cengage Learning

Engineering Mechanics: Statics

Mechanical Engineering

ISBN:

9781118807330

Author:

James L. Meriam, L. G. Kraige, J. N. Bolton

Publisher:

WILEY

SEE MORE TEXTBOOKS

(Dimensional Analysis) If the velocity V in a fluid flow depends on a dimension 1, the fluid density p, and the viscosity µ, show that this implies that the Reynolds number Vlp/µ is constant.