rim Free surface Liquid

Q: 3.7. In Fig. 3.4b is shown the unsteady-state streamlines of a cylinder moving with a uniform…

A: Dear Student,In this question, the figure (diagram) is missing. Please reupload the question with…

Q: The sketch below shows a cylindrical tank that is filled with a liquid of density p. The lid of the…

A: g=9.81 m/s2Height,H=0.5 mRadius,r1=0.3 mAngular velocity,To find:a)Pressure distribution p in the…

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: 1. For the shown conic body which rotating with constant angular velocity 10 rad/s, find the torque…

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Q: We are on the space station, so there is no effective gravity.  In a small fluid experiment, a small…

A: Solution:

Q: 3. Viscous fluid occupies the region 0 < z<h between two rigid boundaries z = 0 and z = h. The lower…

A: In fluid mechanics, the Navier-Stokes equation is a partial differential equation that describes the…

Q: In a fluid rotated as a solid about a vertical axis with angular velocity ω, the pressure rise p in…

A: Given Data→Angular velocity=ωPressure rise=PPressure rise depends upon  speed ω, radius r, and fluid…

Q: Q2 Fluid mechanics With respect to the stream function, develop the superposition for two cases: -…

A: ψ=ψuniform+ψdipole

Q: Explain the relationship between vorticity and rotationality.

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Q: Determine the constant speed of the passengers on the amusement-park ride if it is observed that the…

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Q: The tank of water in Fig.  accelerates uniformly byfreely rolling down a 30 ° incline. If the wheels…

A: Given data as per the question inclination angle =300 considering the acceleration equation of the…

Q: The Stokes-Oseen formula for drag force F on a sphere of diameter D in a fluid stream of low…

A: Given data F = 3πμDV +9π16ρV2D2

Q: Two concentric cylinders are rotating in opposite directions but the same speed, 25 revolutions per…

A: (1) The velocity profile is already sketch along with the question (2) Since the velocity profile…

Q: The fluid particles do not rotate about their own axis in a rotational fluid flow. Select one: True…

A: The fluid particles do not rotate about their own axis in a rotational fluid flow. Answer: False

Q: Engine oil at 60°C rotates as a rigid body about the z-axis in a spinning cylindrical container.…

A: Consider a rotational fluid element as shown below. Let the mass of this element be, m=ρ.v=ρ.dA.dr…

Q: Water at T = 20°C rotates as a rigid body about the z-axis in a spinning cylindrical container.…

A: Consider an element of area dA, radius extent dr and the pressure distribution is shown. Applying…

Q: Proof that Streamlines and equipotential lines are orthogonal to each other

A: Stream function ψψ=fx,y so now partially differentiating dψ=∂ψ∂xdx+∂ψ∂ydy Now by defination of…

Q: Find the vorticity of the fluid motion for the given velocity com- ponents. KINEMATICS OF FLUIDS (a)…

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Q: A two-dimensional fluid element of dimensions dx and dy translates and distorts as shown, during the…

A: In order to proceed with the given problem some assumptions need to be taken. The Flow is two…

Q: Two infinite plates a distance h apart are parallel to the xzplane with the upper plate moving at…

A: Since the shear stress between the parallel plates is constant, the centreline velocity will be…

Q: pressure at a point is equal in all directions for a fluid at rest with respect to the stationa

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

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

Q: Use the Shell Balance approach for Momentum conservation, create a sketch of a control volume in…

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Q: Prove that the pressure at a point is equal in all directions for a fluid at rest with respect to…

A: Pascal's to begin with law states pressure in a liquid is same at all points. Consider a little 3d…

Q: By using the expression for the shear stress derived in class (and in BSL), show that the shear…

A: The objective of the question is to demonstrate that the shear force on a sphere spinning at a…

Q: Simplify the Navier–Stokes equation as much as possible for the case of incompressible hydrostatics,…

A: The Navier-stokes equation is given as, ρDV→Dt=-∇→P+ρg→+μ∇2V→ Here, P represents pressure, ρ…

Q: The tank of water shown below is 15 cm body motion at 9 m/s² in x-direction (right) and 2 m/s in…

A: The above liquid is subjected to acceleration in x direction and z direction, thus it is subjected…

Q: 3.14. Find the vorticity in polar coordinates for the following velocity com- ponents (a) v=r sin 0,…

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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…

Q: A tiny neutrally buoyant electronic pressure probe is released into the inlet pipe of a water pump…

A: given: A tiny neutrally buoyant electronic pressure probe is released into the inlet pipe of a water…

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.