4 Discharge, Q through a venturimeter depends on the following variable Inlet pipe diameter - D Throat diameter - d Pressure drop across the venturimeter - Ap Fluid density -P Dynamic viscosity - µ Using MLT set of dimensions evaluate the dimensionless parameters correlating this phenomenon
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- When a sphere falls freely through a homogeneous fluid, it reaches a terminal velocity at which the weight of the sphere is balanced by the buoyant force and the frictional resistance of the fluid. Make a dimensional analysis of this problem and indicate how experimental data for this problem could be correlated. Neglect compressibility effects and the influence of surface roughness.(b) A pitot-static probe is use to determine the flow velocity by measuring the differential pressure. The pitot formula to obtain the flow velocity is, 2(P- P,) V = where, V is the velocity, P is pressure and pis fluid density. i) The pressure difference sensor use in the system is electronic types and the output of the device is measured in voltage. The output of the pressure device is 3.5 V and the linear relationship between the device and the pressure difference is 10 kPa/V. If the measured fluid is water at 20°C, determine the pressure difference inside the system the water velocity. ii) The Pitot-static tube is also commonly use in aircraft. An aircraft flying at 3000 m above sea level when the differential pressure reading clocked 3 kPa. Determine the speed of the aircraft.PROPAGATION 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. What is the theoretical power output of the turbine assuming 100% efficiency of operation? Your answer must be in kW and in two decimal places with correct signs. In the previous problem, if the diameter measurement is off by 0.1m and the anemometer reading is also fluctuating by 0.05m/s and if the error measurement for theoretical power output must be limited to 3%, WHY OR WHY NOT should you accept the design? * Show complete solution in paper.
- A- Womersley number (a) of a human aorta is 20 and for the rabbit aorta is 17, the blood density is approximately the same across the species. The values of viscosity were 0.0035 Ns/m² for the human and 0.0040 Ns/m² for the rabbit. The diameter of the aorta is 2.0 cm for the man, and 0.7 cm for the rabbit, estimate the heart rate beats per minute (bpm) for both speciesPROPAGATION 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.7. An oil (sp.gr 0.9) is flowing through a 1.2m diameter pipe at a rate of 2.5 m³/s. The kinematic viscosity of oil is 3 X106 m²/s. In order to model this flow, water is used to flow through a 120mm diameter pipe having kinematic viscosity of 0.012X104 m²/s. Find the model discharge and velocity.
- Q// Upon completion of the Reynolds experiment, we had this information. The tube diameter was 0.03 m, time is 14 sec and the lamellar bisection type 'Find Q flow rate m^3/s , Re, viscosity and velocity m / s at a temperature of 26 ° C for water.An oil of density 930kg/m and viscosity 0.02 Pa s flows through a pipeline with diameter 3 m at a velocity of 1.95 m/s. To replicate the behaviour of this flow in a 0.1 m diameter pipe in a laboratory using water (density 1000 kg/m, viscosity 0.001 Pas), what flow velocity is required? 7.Problems H.pdf > Problems H.W: Lecture No.6 Part 2 Q1-(2.4-4, Holland): A fluid of density (p) and dynamic viscosity (u) flows in s.s in a cylindrical pipe of inside diameter (d) with mean linear velocity (u). Derive an expression for the pressure gradient AP/L in terms of p, u, d & u. By dimensional analysis (Note Lect. No.3). Q2-An oil with a viscosity of u= 0.40 N-s/m and density p= 900 kg/m flows in a pipe of diameter d= 0.20m. (a) What pressure drop, pl-p2, is needed to produce a flowrate of Q=2.0x10-5 m/s if the pipe is horizontal with xl=0 and x2=10 m? (b) How steep a hill, part (a), but with pl=p2? (c) For the conditions of part (b), if pl=200 kPa, what is the pressure at section, x3=5 m, where x is measured along the pipe? „must the pipe be on if the oil is to flow through the pipe at the same rate as in II
- A well with 4 in. radius produces oil with a viscosity of0.3 cP, at a rate of 200 barrels/day, from a reservoir that is 15 ft.thick. The pressure in the wellbore as a function of time is: t (mins) 1 5 10 20 30 60 Pw(psi) 4740 4667 4633 4596 4573 4535 Use the "semi-log straight line" method to estimate the permeability, KIn the field of air pollution control, one often needs to sample the quality of a moving airstream. In such measurements a sampling probe is aligned with the flow as sketched in Fig. A suction pump draws air through the probe at volume flow rate V· as sketched. For accurate sampling, the air speed through the probe should be the same as that of the airstream (isokinetic sampling). However, if the applied suction is too large, as sketched in Fig, the air speed through the probe is greater than that of the airstream (super iso kinetic sampling). For simplicity consider a two-dimensional case in which the sampling probe height is h = 4.58 mm and its width is W = 39.5 mm. The values of the stream function corresponding to the lower and upper dividing streamlines are ?l = 0.093 m2/s and ?u = 0.150 m2/s, respectively. Calculate the volume flow rate through the probe (in units of m3/s) and the average speed of the air sucked through the probe.Find the pressure drop between locations a and b for flow in a pipe using the following data: Working fluid: Water Pipe: Stainless steel, Schedule No. 120 Nominal pipe size (cm): 10 Flow rate (m3 /min): 2.271 Temperature (C): 38 Length (m): 45.72 Solve for the following 3 cases: a) Za = Zb =33.5 m, b) Za = Zb + 15 m, and c) Za = Zb + 46 m.