Express the group of variables LENGTH , VISCOSITY, DENSITY, VELOCITY as a dimensionless ratio and show all your calculations.

The Archimedes number, Ar, used in the flow of stratifiedfluids, is a dimensionless combination of gravity g , densitydifference Δ ρ , fluid width L , and viscosity μ . Find theform of this number if it is proportional to g .

Express the following variables as dimensionless ratios  Variable Length (L) Kinemastic Viscosity (v) Velocity (V) Meaning find out (pi) term using Buckingham Pi Theorem

Please solve the sub parts A,B,C with the step.. The all part same the chapter thank u A. Investigate with dimensional analysis, is this equation true       t = [ 2x / a ]1/2 B. Express 0.00034 m in microns C. Express 8.31 x 1014 seconds in pico seconds

An airplane wing model is designed with a similarity test. the sustaining force is a function of speed, chord, density, viscosity, speed of sound and angle of attack. determine the dimensionless numbers

fluid mechanics

> | E9 docs.google.com/form تبديل الحساب Questions 7 نقاط Q1/ The power of 6-blade flat blade turbine agitator in a tank is a function of diameter of impeller, number of rotations of the impeller per unit time, viscosity and density of liquid. From a dimensional analysis, obtain a relation between the power and the four variables. 3. صفحة 2 من

A Newtonian fluid with absolute viscosity (Greek mu) flows past a flat surface. Due to the no-slip boundary condition, the velocity profile, u(y), develops near the surface and is given by u/U (shown in image provided) where the constant parameters U and delta have dimensions of velocity and length respectively.a) Develop an expression for the shear stress acting in any horizontal plane.b) Determine the shear stress acting on the surface at y = 0 and again at the edge of the boundarylayer, y = delta. (Express your answers in terms of Greek mu, the outer velocity U, and the boundary layer thickness delta.)

An oil has a kinematic viscosity of 1.25 E-4 m 2 /s and aspecifi c gravity of 0.80. What is its dynamic (absolute)viscosity in kg/(m ∙ s)?( a ) 0.08, ( b ) 0.10, ( c ) 0.125, ( d ) 1.0, ( e ) 1.25

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.