rim Free surface Liquid

Q: Consider two infinite parallel plates in length, where the top plate is moving to the right at a…

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Q: Consider the lifting flow over a circular cylinder of a given radius (R) and with a given…

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Q: You have two identical cylindrical tanks. One is partially filled with water (p = 1.0 x 103 kg/m³)…

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Q: A 1-m-diameter sphere is being towed at speed V in freshwater at 20°C as shown in Fig. Assuming…

A: Write the properties of water at 20°C. Cavitation will occur at the lowest-pressure point, which is…

Q: Incompressible air (density=1.2 kg/m3) flows around the car, if the pressure coefficient at point A…

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Q: The flow boundary layer in a diffuser with an angle of 30 degrees is detached from the wall surface,…

A: Option (a) pressure recovery  is the correct option

Q: (b, b) (b > 0) at the time of interest in a semi-infinite (y > 0) two-dimensional inviscid fluid. A…

A: given data;two ideal vortices with ideal circulation are located atX1=(-b,b)and…

Q: A gas with density 1.3kg/m and dynamic viscosity 4air = 1.1 x 10-5Pa. s flows past a flat plate of…

A: Given:ρ=1.3 kg/m3μair=1.1*10-5 PaL=2.2 mB=1.2 mFs=1 N

Q: Wind at U∞ and p∞ flows past a Quonset hut which is ahalf-cylinder of radius a and length L (Fig).…

A: Let P0 be the surface stagnation pressure at the nose (θ=180º). Write the expression for the surface…

Q: Explain the relationship between vorticity and rotationality.

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Q: 4. A flat plate 200mm× 750mm slides on oil(µ = 0.85N · s/ m²) over a arge plane surface, What force…

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Q: 3. Two ideal vortices with ideal circeulation I are located at x1 = (-b, b) and x2 = (b, b) %3D (b >…

A: Similar to vorticity circulation is a primary characterization of rotation of flow in fluid…

Q: A closed cylindrical drum of diameter 500 mm has its axis vertical and is completely full of water.…

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Q: A- Two large surfaces are 2.2 cm wide of infinite extent contains a fluid with an absolute viscosity…

A: Given data : width of infinite extension = 2.2 cm                     Absolute viscosity of the…

Q: A 50 cm diameter spherical vessel is completely filled up with a liquid of specific gravity 0.8; the…

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Q: A stationary sphere in water moving at a velocity of 2.3 m/s experiences a drag of 6N. Another…

A: Given data,

Q: The Rankine body of revolution in Fig.  is 60 cm longand 30 cm in diameter. When it is immersed in…

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Q: Ql:: A 11 in diamcter of pipes and 14 in long slides along a large diameter cylinder at a speed of…

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Q: Assume an inviscid, incompressible flow. Also, standard sea level density and pressure are 1.23…

A: Given: The sea-level density is ρ=1.23 kg/m3. The lift on a circular cylinder is L=6 N/m. The…

Q: Assume that the Flettner rotor ship of Fig. has a waterresistance coefficient of 0.005. How fast…

A: Given data Height of the rotor L = 50ftDrag coefficient of te rotor CD = 4Lift coefficient of each…

Q: Two large surfaces with a gap of 34 mm width were filled with oil having a kinematic viscosity of…

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Q: The belt moves at a steady velocity V and skims the top of oil tank. Assuming a linear velocity…

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Q: fluid2.pdf Example 2 • Water is flowing from hole 1cm radius at the bottom of a closed cylindrical…

A: Calculated time required to empty the container.

Q: Outside an inner, intense-activity circle of radius R , a tropicalstorm can be simulated by a…

A: (a) Given velocity potential function is The tangential velocity can be determined as,

Q: A uniform rectangular plate, 40 cm long and 30 cm deepinto the paper, hangs in air from a hinge at…

A: To find the area of jet Area, A=πd24=π0.0324 density of the water is 998 Kg/m3

Q: If the surface tension at air water interface is 0.079 N/m what is pressure difference Between…

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Q: The motion of a liquid in an open tank is that of a combined vortex consisting of a forced vortex…

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Q: The belt as shown below, moves at steady velocity V and skim at the top of a tank of oil of…

A: Given data: viscosity=μpower=Pvelocity=Vdepth=hwidth of belt=b Need to drive the expression for the…

Q: What is the equation for the time of flight of a projectile?  Is this equation dimensionally…

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Q: D. A Terran T-280 SCV (space construction vehicle) examines a typical vespene geyser field, which…

A: Given, Number of circular openings, n=20Main pipe radius, R1 =0.80mSpeed through the main pipe,…

Q: A bubble (assuming perfectly spherical) was released from a depth of 120m in the body of water by a…

A: Given data A bubble forms at a depth of 120 mAssuming the temperature remains constantm we have to…

Q: (b) In an experiment to compare the viscosities of two oils, small spheres are allowed to fall…

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Q: : A liquid of (u = 1.25 Pa.s.) fills the space of (Sum) shown in figure below. Calculate the forque…

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Q: 1. A solid cone of angle 20, base ro, and density p. is rotating with initial angular velocity mo…

A: Consider an elementary ring of radius r at a distance x from the apex. let r + dr be the radius at x…

Q: Consider liquid in a cylindrical tank. Both the tank and the liquid rotate as a rigid body. The free…

A: Given consider liquid in a cylindrical tank. Both the tank and the liquid rotates as a rigid body.…

Q: A cylindrical tank of water rotates in solid-body rotation, counterclockwise about its vertical axis…

A: Givenn˙=175 rpmAskedζ=vorticity=?Formulaζ=2ω

Q: A correlation of computational fl uid dynamics results indicatesthat, all other things being equal,…

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Q: Incompressible air (density=1.2 kg/m3) flows around the car, if the pressure coefficient at point A…

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Q: The pattern produced by smoke rising from a chimney on a windy day is analogous to a pathline or…

A: A pathline may be a way which a liquid molecule follows. One case of a pathline is the path…

Q: Define the Circulation and Vorticity. Determine Circulation and Vorticity of a closed curve in two…

A: Define- 1) Circulation:- when going along a closed curved path the total push can be considered as…

Q: A thin flat plate 20 cm by 90 cm is immersed in a 1m/s stream of water at 20 °c ( density=998,…

A: Given data: The velocity of fluid over the plate is, v=1 ms The density of water at given…

Q: In rotating a thin circular disc submerged in a fluid, a torque has to be applied to the disc to…

A: The dimensional formula for each given variable is

Q: Compare free vortex with forced vortex according to velocity and static pressure distribution. Think…

A: Hello. Since your question has multiple sub-parts, we will solve the first three sub-parts for you.…

Q: A portion of ship’s hull can be idealized as a flat plate, 100ft long. If the ship’s velocity is 10…

A: Given data: L=100 ftv=10 ft/sρ=62.4 lbm/ft³µ=3.0 lbm/hr.ft Need to determine the maximum boundary…

Q: A tripod holding a nozzle, which directs a 5-cmdiameter stream of water from a hose, is shown. The…

A: Given,  The reaction force offered by the tripod in horizontal direction, FRx=1800 N. The mass of…

Fluid Kinematics

The branch of science that deals with objects which are either in motion or stationary are studied under the branch of classical mechanics. Fluid mechanics is a subcategory of classical mechanics that deals with the behavior of fluids at rest (fluid statics) or in motion (posing some velocity). In fluid kinematics, studies focus on the associated motion of fluid particles or groups of particles, and its associated parameters like displacements, velocity, and acceleration without concerning about the forces that caused the motion. All the laws of classical mechanics are applied in the study of fluid kinematics.