Q1/ The angular velocity Q of a car wheel was found to be a function of its height H as compared to the car height L, diameter D, the number of blades N, wind speed V, and density of air p. Find appropriate pi groups for this problem when viscosity effects are neglected.
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Q: Q1/ The angular velocity n of a car wheel was found to be a function of its height H as compared to…
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- Q1/ The angular velocity n of a car wheel was found to be a function of its height H as compared to the car height L, diameter D, the number of blades N, wind speed V, and density of air p. Find appropriate pi groups for this problem when viscosity effects are neglected.(b) The kinematic viscosity of a fluid used for model is one third of the kinematic viscosity of the fluid used for prototype. During testing of the model, if viscosity and gravity forces are predominant, find the scale ration, velocity ratio and discharge ration17. The moment of viscous liquid bctween two cylinder depend on angular velocity o of internal cylinder, cylinders diameters d, D., absolute viscosity u. Find the dimensionless parameters and obtain the similarity of dimensionless parameters. M= f(d.D.
- 7. Aflat thin plate is dragged at a constant velocity of 4 m/s on the top of a 5 mm deep liquid layer of viscosity 20 centipoise. If the area of the plate is 1 m² find the drag force. Assume variation of velocity in the liquid to be linear. [Ans. 16 N]Question 3 The power, P, to drive an axial pump is in a function of density of fluid, p, volumetric flow rate, Q, pump head, h, diameter of rotor, D, and angular speed of rotor, N. (a) (b) (c) P PDS N3 Verify that - is a dimensionless group. Determine the remaining pi group and perform dimensional analysis. Define geometric similarity and dynamic similarity. Categorize the pi group obtained from part (b) as geometric similarity or dynamic similarity, respectively.QI A ball made of INOX AISI 365 steel with density of 8.52 gricm3 was used to determine the viscosity of oil with specific gravity of 0.91. In the viscometer, the ball traveled 19 cm in 2.2 seconds. If the diameter of the ball is 2.95 mm, what is the viscosity of the oil in pa.s ? assume that water density is 1000 kg/m'.
- Ex. The force required to tow a 1:30scale model of a motor boat in a lake at a speed of 2m/s is 0.5 N, Assuming that the viscosity resistance due to water and air is negligible in comparison with the wave resistance, calculate the corresponding speed of the prototype for dynamically similar conditions. What would be the force required to propel the prptype at that velocity in the same lake? Ans.: 10.95m/s, 13500NQ.7. In an Aeroplan model of size 1/10 of its prototype the pressure drop is 7.5 kN/m². The model is tested in water. Find the corresponding pressure drop in the prototype. Take Density of air = 1.24 kg/m³. Density of water = 1000 kg/m³.Viscosity of air = 0.00018 poise Viscosity of water = 0.01 poiseQ2) Fill in the blanks with appropriate word(s), for EXKEl of the following; K Specific weight is defined as According to the variation of density with pressure, Nuids may be classified into - Nuids and - Nuids. 3. The approximate number of experiments to evaluate the influence of 3 parameters separately is assuming that 5 experiments are needed for each variable. ¿When viscous resistance is important, -. criteria for similarity is used. S. The center of pressure is defined as - A Hydrostatic forces in a static fluid is the result of the exerted on submerged surfaces. Streamline is defined as Continuity equation represents the d 0, conservation of
- A plate 0.05mm distance from a fixed plate moves at 1.25 m/s and required a force per unit area of 3 Pa to maintain this speed by using an oil of specific gravity 0.65. Find the dynamic viscosity in centipoise and kinematic viscosity in stokes of the fluid between the plates. Calculate the specific weight in kN/m³, density, and the specific gravity of a liquid having a volume of 662900 cm and weight of 55 kNQ/ From the table of water properties at average temperature T, find the water properties: density p, viscosity µ. Then calculate: The cross section area of chamber A= T/4 d2 (cm2 ) The pressure difference along L AP=p g h (atom) Volumetric flow rate q=Q/t (cm3 /s) and finally calculated permeability (Darcy D) qul ΑΔΡ Repeat these reading three time and then find the average of permeability. The informations are : D = 9.9 cm L = 25 cm T= 22 °C V (cc) 600 t (sec) 187 H1 (cm) 108 3 H2 (cm) No 1 2 600 176 109 4 3 600 184 107 3A- 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 species