may be derived using fluid parameters.
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Relate how the momentum equations may be derived using fluid parameters.
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- What is momentum equation? Describe the properties of Newtonian fluid.Q. What is meant by the term “velocity of circulation” and explain its relevance in the quantity equation.Using the irrotational flow approximation, calculate and plot the nondimensional static pressure distribution on the surface of a circular cylinder of radius a in a uniform stream of speed V∞. Discuss the results. The pressure far away from the cylinder is P∞.
- Write down the momentum equation for two-dimensional flow along a flat plate. What are the parameters that can be calculated by solving this equation? Explain the steps used to solve this equation for both laminar and turbulent boundary layers.Outside an inner, intense-activity circle of radius R , a tropicalstorm can be simulated by a polar-coordinate velocitypotential ϕ ( r , θ ) = U o R θ , where U o is the wind velocity atradius R . ( a ) Determine the velocity components outsider = R . ( b ) If, at R = 25 mi, the velocity is 100 mi/h and thepressure 99 kPa, calculate the velocity and pressure atr =100 mi.What flow property determines whether a region of flow is rotational or irrotational? Discuss.
- Sand particles (SG = 2.7), approximately spherical withdiameters from 100 to 250 μm, are introduced into anupward-flowing stream of water at 20°C. What is theminimum water velocity that will carry all the sand particlesupward?In your own words, c. Explain why the stream function ψ is restricted to 2-D flows and you have to use the velocity potential ζ to define 3-D flows.A Savonius rotor can be approximatedby the two open half-tubes in Fig mounted ona central axis. If the drag of each tube is similar to thatin Table 7.2, derive an approximate formula for therotation rate Ω, as a function of U, D, L, and the fluidproperties (ρ, μ).