he drag force (N) exerted by a flowing fluid on a body is a function of the ensity (kg/m³), dynamic viscosity (kg/ms), velocity of the fluid (m/s) and a haracteristics length of the body (m). Develop a general equation?
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- Consider a fluid travelling along a circular trajectory. Assume the fluid is inviscid and that the flow is effectively two-dimensional and steady. The fluid density is ρ = 1 g/cm3. What is the pressure gradient dp/dr which provides the required centripetal force at a radius of r = 10 cm from the centre of the circular trajectory, when the fluid is travelling at a speed of V = 3 cm/s? Give your answer in SI units to two decimal places.6. a. Explain (include diagrams) the following components of Total drag on a solid object placed in a moving fluid. Include in your discussion how these components vary as the orientation of the object changes in the flow field: i) Pressure Drag ii) Friction Drag b. An antenna in the shape of a cylindrical rod projects from the top of an automobile. If the antenna is 106 cm long and 50 mm in diameter, calculate the drag force on it when the automobile is travelling at a velocity of 7.5 m/s in still air at -20°C Assume the surface of the structure is smooth. Page 4 of 8 D = 2 Copv²A %3DSketch the Maxwell model and label all the components. Also, draw a graph of displacement versus time when the model is subjected to a constant force for a time period and then released. Why does the model responds this way.
- 2. The details of showing that the corresponding dimensionless drag force (Ca) per unit length on the cylinder can be written as Ca = f(Re) Show the explanation1)estimate the resulting pressure at the bottom of the tank in kilo pascals 2)estimate the resulting acceleration in m/s^2The mass flow of air as it flows through the circular duct is defined by the equation below where p = density. V = velocity. A = cross-sectional area of the duct. Use dimensional homogeneity to determine the appropriate unit for mass flow? * m = pVA V = 9.8 fps d = 16" Pair = 0.0019 slug/ft³
- An astronaut has a mass of 68 kg. What is the weight of the astronaut on Earth at sea level? What are the mass and the weight of the astronaut on the Moon, and on Mars? What is the ratio of the pressure exerted by the astronauts shoe on Earth to Mars?The head loss due to flow of a fluid inside a pipe is calculated from .L V? D 2g h Loss where Loss f = friction factor L = pipe length (m) D = pipe diameter (m) V = average flow velocity (m/s) g = acceleration due to gravity (m/s²) What is the appropriate unit for friction factor f?Draw a sketch of the Maxwell model and label all components. Draw a graph showing displacement versus time when the model is subjected to a constant force for a time period t and then released. Comment on why the model responds this way.
- 5. A liquid flows through an orifice located in the side of a tank as shown in the Figure below. A commonly used equation for detemining the volume rate of flow, Q. through the orifice is Q = 0.61A/2gh where A is the area of the orifice, g is the acceleration of gravity, and h is the height of the liquid above the orifice. Investigate the dimensional homogeneity of this formula. Good luck!1. Indicate whether the following statements are best described as true or false. F Turbulent flow is more chaotic than laminar flow. F The EGL never decreases in the direction of the fluid flow. Fluid exiting a system into the atmosphere experiences zero gauge pressure at that point. In the English system of units, power is measured in ft-lbs. F T F A pump removes head from a flow. The friction factor, f, is not a function of Reynolds number for laminar flows. If the HGL is below the fluid, then the pressure is negative. The Bernoulli equation is useful for unsteady flows. The buoyant force is the difference between the pressure on the top and bottom of an object in It is possible for a turbine to remove more power from the fluid than I recover from the turbine. T F T T T a fluid. F LFFFA force balance in a particular fluid flow is combined with Newton’s second law to yield the following equation: ρ d 2 z dt 2 + a dz dt + bz = c where ρ, z, and t are dimensional variables with the following dimensions: ρ [ML−3 ], z [L], and t [T]. (a) Determine the dimensions of the system parameters a, b, and c. (b) If standard SI units are to be used in the given equation and values of ρ, z, and t are provided in g/cm3 , mm, and h, what conversion factors must be applied to these variables before they are used in the equation?