(40 pts) The drag force exerted on an automobile running at a constant speed of 30...
Problem 6: Measurements of drag force are made on a model automobile in a towing tank filled with fresh water. The model length scale is 1/5 that of the prototype. State the conditions required to ensure dynamic similarity between the model and prototype. Determine the fraction of the prototype speed in air at which the model test should be made in water to ensure dynamically similar conditions Measurements made at various speeds show that the dimensionless force ratio becomes constant...
The drag force Fp on a smooth sphere falling in water depends on the sphere speed V, the sphere density P. the density p and dynamic viscosity of water, the sphere diameter Dand the gravitational acceleration g. Using dimensional analysis with p. V and D as repeating variables, determine suitable dimensionless groups to obtain a reneral relationship between the drag force and the other variables. If the same sphere were to fall through air, determine the ratio of the drag...
a=4 b=3(m/s) 06. The drag force. F.experienced by a submarine that moves at a great depth from the surface of the water is a function of the density . viscosity, speed and the transversal section of the submarine 1. An expert suggests that the nondimensional relationship that allows the calculation of Fis: AVEA (a) is the number of dimensionless parameters in the expression correct? Why? (b)Are the parameters correct? If not, correct them. (c) A geometrically similar model to that...
Density p [kg/m2], viscosity - u [kg/ms], surface tension - o (N/m=kg/s2] compressibility K [Pa-kg/ms2] 1. For particles settling in a stationary fluid it is thought that the drag force FD of a small sphere is a function of the settling velocity of the sphere - V, the diameter of the sphere - d, and the density p, and viscosity of the fluid - . Determine the dimensionless relationship(s) between these variables (FD/HVd, pdV/H) 2. (a) The efficiency of a...
Please help. (3) An automobile running on 4 wheels is about to pass over a speed bump that has a cross section that fits to a sine function of y(x)-5sinßx with B being a constant, and with a maximum width w 8 cm. as illustrated in Figure 1(a). The velocity of the automobile is 20 km/hr at the time of passing over the bump. The vehicle is supported by a suspension system that is consists of one coilover for each...
N5D.4 (e) and (f) both sides of the x component of Newton's second lav v, and take the indefinite integral of both sides.) Rich- N5D.4 We have seen that the drag force between a fluid and an object moving through that fluid is proportional to 2 if the object is big and/or fast and/or the fluid is not a m ery viscous but is proportional to löl if the object is small Slo At kin d/or slow and/or the fluid...