1. In Buckingham n theorem, if n is the number of variables and m is the number of basic dimensions, the number of independent dimensianless parameters would be, A. (m-n) B. (n - m) C. (m + n) D. (n/m)
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- Ql: The viscosity in industrial measurement continue to use the CGS system of Lunits, since centimeters and grams vield convenient numbers for many fluids. The absolute viscosity () unit is the poise, I poise = 1 gtem. s). The kinematic viscosity (v) unit is the stohes, I stokes = 1 em /s. Water at 20C has u = 001 poise and also V= 0.01 stokes. Express these resalts in (a) SI and (h) BG tanits.The dependence of thermal conductivity of a material on temperature is given by an empirical equation k = a ebT where a and b are constants, and k is in W/m-K and T is in K. Spot the true statement from the following set. a, a and b have the same dimension as k. b. a has the dimension of k and b is dimensionless. c. a and b are dimensionless. d. a has the dimension of k and b has the dimension of T.c) When small aerosol particles move through air or water, the Reynolds number is very small (Re < 1). Such flows are called creeping flow. The aerodynamic drag on an object in creeping flow is a function only of its speed, V some characteristic length scale, L of the object and fluid viscosity, µas indicated in Figure 11. Use dimensional analysis to generate a relationship for Fp as a function of the independent variables. The dimensions of Fp are MLT2. FD L Figure 11
- The correct definition of Dimensional Analysis is: A procedure to find the yield point of a material when no definitive yield point can be determined graphically. A procedure to calculate the Elastic Modulus. A procedure to verify the size of a mass of material. A methodical process of converting from one set of units to another set of units. Match the following statements with the term that best describes each statement. (Enter Number ONLY) 1) Hooke’s Law 2) Creep 3) Impact Strength 4) Proportional Limit 5) Fatigue 6) Elastic The tendency of a solid material to move slowly or deform permanently under the influence of mechanical stresses below the yield strength of the material. The behavior of materials that deform when loaded but return to their original shape after the load is removed. The linear relationship between stress and strain in the elastic region below the proportional limit. The phenomenon where cracks propagate under loads…16000 1.440 14000 1.435 12000 1.430 10000 1.425 8000 1.420 6000 1.415 4000 1.410 2000 1.405 1.400 45 15 20 25 30 35 40 Temperature ["C] +dynamic viscosity (mPas] + density (gicm") Figure 1 (a) As shown in Figure 1, viscosity and density of honey was found to decrease with increase in temperature. Explain the reasons behind these phenomenon related to Fluid Mechanics in microscopic view. Dynamic viscolsty [mPa.s] Density [g/cm³]These dimensions concern transportation systems. Look up the dimensions of the following vehicles; give the model year and the source of your information.a. A car of your choiceb. BMW 760 Lic. Honda Accordd. How wide is the driver’s seat in each car mentioned in (a) through (c)?e. A city busf. How wide are the bus seats?g. A high-speed passenger trainh. How wide are the train seats in the coach section?
- Fluid mechanics [Dimensional Analysis] A breakwater along a river measures 1.5 m by 4.0 m. A model is built to a scale of 1:15. The model is tested in a laboratory with a velocity of 0.80 m/s and the force acting on the model is measured to be 5.0 N. Determine (a) the velocity and (b) the force on the prototype. Find the: a. velocity =___________m/s b. force =___________kNAssignment 3 On Viscosity Calculation - Word TOUT REFERENCES MAILINGS REVIEW VIEW Hyperlink P Bookmark tArt Chart Screenshot Apps for Office Online Video Cross-reference Comment Header Footer Page Number Text Quick WordA Box Parts - ns Apps Media Links Comments Header & Footer (2) Referring to the following figure, the distance between plates is Ay = 0.5 cm, Av: = 10 cm/s, and the fluid is ethanol at 273 K having a viscosity of 1.77cp (0.0177 g/cm s). (a) Calculate the shear stress ty and the velocity (b) gradient of shear rate -/dy using cgs units. (c) Repeat using SI units. A Torce Fdshear berween teoparailel plates1. In Buckingham π theorem, if n is the number of variables and m is the number of basic dimensions, the number of independent dimensionless parameters would be,A. (m – n) B. (n – m) C. (m + n) D. (n/m)
- Choose the correct answer Kinematic viscosity is * f. dynamic viscosity* Density b. About 1.2*10^-2 m2/s for water e. Both b and d c. Density*dynamic viscosity d. Both a and c g. Both f and c a. About 1.2*10^-6 m2/s for water. I am planning to perform some volume-flow rate measurements in the Fluid Mechanics Laboratory. For this, I need a volumetric measuring tank (graduated cylinder) and a stopwatch. I considered the volume of the measured tank as 15 gallons and a stopwatch with reaction time as 1/10th of a second (though resolution of 1/1000th of a second). What is the volume flow rate if it takes 5 minutes to fill a 15-gallon of tank? Determine the smallest division to be on the tank in order to estimate the volume flow rate within an accuracy of ± 0.05 gpm.Table 1 shows the variation of dynamic viscosities of water with absolute temperature. Table 1: Dynamic viscosity of water with absolute temperature. Viscosity µ, Pa.s x 10-³ 1.787 Temperature, K 273.15 278.15 283.15 293.15 303.15 1 313.15 333.15 353.15 373.15 4G 1.519 1.307 1.002 0.7975 0.6529 0.4665 0.3547 0.2828 a) Using excel software, develop a relationship of for viscosity in the form of μ=A+BT+CT² + DT³ + ET. Done Show your trend line regression and standard deviation for linear and polynomial index (quadratic T², cubic T³ and T). b) Using the relationship developed, predict the dynamic viscosity of water at 50 °C at which the reported value is 5.468 x 10 Pa.s. Compare your result with the results of Andrade's equation which is given in the form of μ = D.e BT where D and B are constants whose values are to be determined using viscosity data given.