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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.Evaluate the Nusselt number for flow over a sphere for the following conditions: D=0.15m,k=0.2W/mK, hc=102W/m2K.In CFD lingo, the stream function is often called a non-primitive variable, while velocity and pressure are called primitive variables. Why do you suppose this is the case?
- FLUID MECHANICS 1. Explain and cite an example of the following:a) Fluid Staticsb) Fluid Kinematicsc) Fluid Dynamics .2. What is Pascal Law? 3. Bernoulli's Energy EquationFor a given hypothetical flow the velocity at time t = 0 to t = 10 s was u = 0, v = 4m/s. Then from time t = 10 s to t = 15 s, the velocity was u = - 2 m/s, v = 2 m/s. A dye streak was started at a point in the flow field at time t = 0, and the path of a particle in the fluid was also traced. Draw to scale the streakline, pathline of the particle and streamlines at t = 15 s.AL-Gburi, [03.05.21 00:59]An ideal gas flows axially (x-direction) between parallel plates. Assume: Newtonian fluid, steady state, constant viscosity, constant conductivity, negligible gravity, and parallel stream- lines. Write the energy equation for this flow
- The velocity field of a flow is described by V-›= (4x) i-›+ (5y + 3) j-›+ (3t2)k-›. What is the pathline of a particle at a location (1 m, 2 m, 4 m) at time t = 1 s?Select a common dimensionless parameter in fluid mechanics from the following: (a) angular velocity; (b) Kinematic viscosity; (c) specific volume; (d) specific weight; ( e) none of these answersDimensional Analysis and Hydraulic Similitude (fluid mechanics) 1. Water at 60F at 12 ft/s in a 6-in. pipe. (a) For dynamic similarity, determine the velocity of medium fuel oil at 90F flowing in a 12-in. pipe. (b) Determine the diameter of the pipe that should be used if a medium lubricating oil at 70oF if flowing at a velocity of 50 ft/s. find the: a. velocity : ____________________ fps b. diameter : ____________________ in.
- In two dimensions along the converging nozzle, stable, considering incompressible flow. The velocity on the horizontal centerline (x-axis) is given as V=V1(1+x/L)i Derive an equation for the acceleration of a particle moving along the centerline using (a) Euler's approximation and (b) Lagrangian approximation. Discuss the acceleration for the particle being at the beginning and end of the channel.Please help me in answering the following practice question. Thank you for your help. Consider several elementary planar irrotational flows arranged in a plane in a cartesian coordinate system (x-y plane) with the unit of length in m (meter). A line source with strength 18 m^2/s is located at point A (0, 1); a line sink with strength of 15 m^2/s is located at point B (3, -2); a line vortex with strength of 9 m^2/s is located at point C (4, 1); and a uniform flow of 10 m/s is at angle 30° with positive x-direction (counter-clockwise). Find the resultant velocity and pressure induced at point D (2, 0) by the uniform stream, line source, line sink & line vortex. Pressure at the infinity at upstream of uniform flow is 1000 Pa.Please list all necessary assumptions.An incompressible Newtonian liquid is confined between two concentric circular cylinders of infinite length— a solid inner cylinder of radius Ri and a hollow, stationary outer cylinder of radius Ro. The inner cylinder rotates at angular velocity ?i. The flow is steady, laminar, and two-dimensional in the r?-plane. The flow is also rotationally symmetric, meaning that nothing is a function of coordinate ? (u? and P are functions of radius r only). The flow is also circular, meaning that velocity component ur = 0 everywhere. Generate an exact expression for velocity component u? as a function of radius r and the other parameters in the problem. You may ignore gravity.