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:
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Fluid
[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 =___________kN
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- 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 11Water X 50-mm inside diameter The volume flow rate of the system The pressure at the point "A" The pressure at the point "B" 25-mm diameter As a consultant at one of the country's leading soft drink companies, you are tasked with evaluating the system depicted to determine the following parameters using Bernoulli's Equation if the values assigned to "X" and "Y" are 3m and 0.5m respectively: i. ii. iii.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.
- 3. Consider the following equation. All three of the terms in parentheses are dimensionless groups. Because kc is difficult to determine directly, the other variables are measured and kc is calculated from the given equation. 26 THERMODYNAMICS 1 MODULE 1 FUNDAMENTAL CONCEPTS ]3 [ _d>vp_jo8 p DAB kc D = 0.023 [H DAB What is the estimated value of kc? What are the units of kc? Show your work. The following values were measured: D = 8.0 mm, DAB = 0.475 cm²/s, µ = 1.12 x 103 N-s/m², p = 1.00 x 10-³ g/cm³, v = 15.0 m/s.. 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.Time left 1:5 An ideal gas has its pressure (1.8) times and mass density (2.2) times increased. If the initial temperature is 265.4 °C, what is the final temperature in °C, and use one number after the decimal (xxx.x)? Answer: NEXT PAGE pe here to search DELL
- Assignment 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 platesCheck the following equation for dimensional homogeneity: mv = = 1.5² (Fcose) dt where m is mass, v is velocity, F is force, is an angle, and t is time. Check that each term in the equation has the following dimensions: [MªLbTC] where you are to choose the coefficients a, b, c. Answers: a = i b = i C=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?
- Thermal conductivity k is a measure of the ability of a material to conduct heat. For conduction heat transfer in the x-direction through a surface normal to the x-direction, Fourier’s law of heat conduction is expressed as: Q=-kA.dT/dx where ?̇ is the rate of heat transfer and A is the area normal to the direction of heat transfer. Determine the primary dimensions of thermal conductivity (k). Look up a value of k and verify that its SI units are consistent with your result. Write a set of primary SI units for k.> | 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 منThe power P required for operating a pump depends on the diameter of the pump D, the pressure rise Ap across the pump, the fluid density p, the fluid viscosity and the Theorem, and D, Q and p as the repeating variables, the dimensionless group associated with μ is given by volume flow rate Q through the pump. Using Buckingham's μDªQbpº. Determine the values of a, b and c. 1. [0.99, 1.01 2. [-1.01, 0.99 3. [-1.01, -0.99 a= b = C=