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- 6.) A 100-mm diameter plunger is being pushed at 60 mm/sec into a tank filled with oil having sp.gr. of 0.82.If the fluid incompressible, how many N/s of oil is being forced out at a 30-mm diameter hole? Answer: 3.78 N/s Subject: Fluid Mechanic Lesson: Relative Equilibrium of Liquids Fundamentals of Fluid FlowFigure 1) shows a tank of 20∘C water with a nozzle h = 27 cm below the surface. Bernoulli's equation applies to the flow between points 1 and 2 on the streamline, but not to the flow between points 2 and 3.What is the volume flow rate through the nozzle in L/min ? Assume that the water level in the tank is held constant.Consider steady, incompressible, parallel, laminar flow of a film of oil falling slowly down an infinite vertical wall. The oil film thickness is h, and gravity acts in the negative z-direction. There is no applied (forced) pressure driving the flow—the oil falls by gravity alone., except for the case in which the wall is inclined at angle ?. Generate expressions for both the pressure and velocity fields. As a check, make sure that your result agrees with that of when ? = 90°. [Hint: It is most convenient to use the (s, y, n) coordinate system with velocity components (us, ?, un), where y is into the page in Fig. Plot the dimensionless velocity profile us* versus n* for the case in which ? = 60°.]
- Consider steady flow of water through an axisymmetric garden hose nozzle. Along the centerline of the nozzle, the water speed increases from uentrance to uexit as sketched. Measurements reveal that the centerline water speed increases parabolically through the nozzle, calculate the fluid acceleration along the nozzle centerline as a function of x and the given parameters.1. Obtain Bernoulli’s equation for compressible flow considering adiabatic process. 2, Define vortex flow. Derive an expression of stream function and velocity potential function for vortex flow. 3. What is Venturi meter? Derive an expression for discharge through venturi meter. 4. What is Venturi meter? Derive an expression for discharge through venturi meter.Professor Seymour Fluids uses a small closed-loop water tunnel to perform flow visualization research. He would like to double the water speed in the test section of the tunnel and realizes that the least expensive way to do this is to double the rotational speed of the flow pump. What he doesn’t realize is how much more powerful the new electric motor will need to be! If Professor Fluids doubles the flow speed, by approximately what factor will the motor power need to be increased?
- QUESTION: (ii) Use Buckingham's theorem to obtain in dimensionless form an expression for the force acting on a smooth sphere placed in an incompressible viscous flow filed .Please do not copy from chegg. I need detailed solution. Prove: For a sphere in unrestricted three-dimensional flow the added mass (also known as the “induced mass”) is half the mass of the fluid displaced by the sphere. (Hint: use potential flow theory).Assume an inviscid, incompressible flow. Also, standard sea level density and pressure are 1.23 kg/m3 (0.002377 slug/ft3) and 1.01 × 105 N/m2(2116 lb/ft2), respectively. Prove that the flow field specified is not incompressible;i.e., it is a compressible flow as stated without proof .
- Carbon dioxide at 125 °C flows over a flat plate at 0.4 m/s. If we use 3.5 x 105 as the critical Reynolds number, what will be the distance along the plate that you can expect the flow to remain laminar? What is the distance if you use the range of values given by my fluid’s textbook (Cengal and Cimbala) of 1 x 105 for ideal situations to 5 x 105 for typical engineering situations?Consider steady flow of water through an axisymmetric garden hose nozzle. Along the centerline of the nozzle, the water speed increases from uentrance to uexit as sketched. Measurements reveal that the centerline water speed increases parabolically through the nozzle. Write an equation for centerline speed u(x), based on the parameters given here, from x = 0 to x = LAssume an inviscid, incompressible flow. Also, standard sea level density and pressure are 1.23 kg/m3 (0.002377 slug/ft3) and 1.01 × 105 N/m2 (2116 lb/ft2), respectively. Consider a venturi with a throat-to-inlet area ratio of 0.8, mounted on theside of an airplane fuselage. The airplane is in flight at standard sea level.If the static pressure at the throat is 2100 lb/ft2, calculate the velocity ofthe airplane.