A) An experimental text program is being set up to calibrate a new flow meter. The flow meter is to measure the mass flow rate of liquid flowing through a pipe. It is assume the mass flow rate (m) is a function of the pressure difference (AP)across the meter, diameter of the pipe (D), viscosity of the fluid (μ), and the density of the fluid (p). Using the dimensionless analysis, find the-groups for this case study.
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- Important variables in a particular water machine are: Fluid density (ρ), impeller angular velocity (ω), impeller diameter (D), volume flow rate (), fluid viscosity (µ), head (gH). In fact, (gH) shows the energy that the fluid unit mass receives from or gives to the machine, independent of gravitational acceleration (g). Therefore, gH value is used instead of H. Important sizes in terms of the operation of the water machine are power (P), (gH) and efficiency ( h). Derive dimensionless numbers by typing these two parameters based on the above variables and applying Buckingham's p method (repeating variables method).Volumetric flow rate, Q, of a pump is a function of impeller diameter d, fluid velocity V,pressure difference P, fluid density and viscosity .a) (15P) Determine dimensionless groups.b) (20P) A test is to be performed for a large pump that delivers 1.5 m3/s of water from 40 cmdiameter impeller with pressure rise of 400 kPa. For the test, a model with an 8 cm diameter impelleris to be used. What flow rate should be used and what would be the pressure rise in model pumpHydrostatic pressure at any given depth of a liquid depends on the_____ of the container.a)Volumeb)ShapeC)Depthd)All of the above .As the temperature of oil increases, the viscosity of oil willa) increaseb) decreaseC)not change Which of the following units would NOT be used for volume flow rate?a) gal/minb) Ib/sc)m⅗d)ft^3/s 2.Dynamic viscosity is defined as,a) weight per unit volume of a fluidb) volume per unit weight of a fluidc) the velocity gradient divided by the shearing stress of a fluidd)the shearing stress divided by the velocity gradient of a fluid
- The amount of time it takes for a pendulum to swing “to-and-fro” through one complete cycle is called the “period” and is calculated using the following equation: where T = period in seconds, I = mass moment of inertia, m = mass of pendulum in kilograms g = gravitational acceleration, 9.8 m/s2, h = effective length of pendulum in meters What is the appropriate unit for I if the preceding equation is to be homogeneous in units? Please show all of your work.The Reynolds number is a dimensionless group defined as follows for a liquid that flows through a pipe: Re = Dvρ / μ where D is the diameter of the pipe, v is the velocity of the fluid, ρ is its density and µ its viscosity. When the Reynolds number value is less than 2100, the flow is laminar, that is, the liquid it moves in lines of smooth flow. For Reynolds numbers greater than 2100, the flow is turbulent, characterized by considerable agitation. Liquid Methyl Ethyl Ketone (MEK) flows through 2067 '' ID tubing and through an average velocity of 0.48 ft / s. If the fluid temperature is 20 ° C, the density of the MEK The liquid is 0.805 g / cm and the viscosity is 0.43 cP (1 cP = 1.00 x 10 kg / (m-s)]. Determine the Reynolds number for MEK flow conditions. (Round the final result to a whole number without decimals).If the given Pi is 3.14159 Capillary tube: radius = 0.02 cm; length = 9 cm; pressure = 0.7 mmHg Liquid sample: density = 4 ml; time of flow = 4.5 seconds What is the pressure in MKS unit and CGS unit? What is its viscosity? If the weight is 8.5 g, what is its density? What is its kinematic viscosity? What is its fluidity?
- Calculate the speed of sound for the U.S. standard atmosphere using c = √kRT , where c represents the speed of sound in m/s, k is the specific heat ratio for air (k = 1.4) , and R is the gas constant for the air (R = 286. J/KG · K ) and T represents the temperature of the air in kelvin. The speed of sound in atmosphere is the speed at which sound propagates through the air. You may use Excel to solve this problem.1. Circle weather the following statements are true or false. If the statement is true justify your reasoning if the statement is false correct the statement to make it true or justify why it is false a. Impulse is the integral of a force vs distance graph b. In two dimensions analyzing linear and angular momentum provides up to three scalar equations. c. Linear acceleration and angular acceleration both have units of ft/s^2 or m/s^2 d. When absolute motion or a rigid body it is important to find a function that relates linear and angular position then integrate to find velocity e. Instantaneous centers can only be determined for velocity and only for a snapshot in timePROPAGATION OF ERROR You are tasked to supervise the design of 0.5MW wind turbine to be constructed in a Wind Farm in Pililla, Rizal. Suppose the design criteria are as follows: The air density as surveyed after 2 year period averaged at 1.225 kg / cubic meter. The sweeping diameter of the rotor blades is 125m, and the anemometer reading in the area amounts to 4.2m/s on a 2 year period of survey. if the diameter measurement is off by 0.1m and the anemometer reading is also fluctuating by 0.05m/s. In the design specifications given, if the actual measurement of power via the substation amounts to exactly 530kW and given that the windspeed is off by 0.05m/s, what could have been the error in the measurement of diameter? Your answer must be in 3 decimal places and in correct signs and measurement. Show complete solution in paper.
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