Consider the function f = ay - by 3 . ( a ) Could this representa realistic velocity potential? Extra credit : ( b ) Could itrepresent a stream function?

Q: The cylindrical container in Fig. is 20 cm in diameterand has a conical contraction at the bottom…

A: Goven that,

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A: Write the given information: Line vortex flow which is steady, planar and incompressible.

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A:

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A: Given data: Pressure at A, θ =180° Pressure at B, θ =105°

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Q: A two-dimensional Rankine half-body, 8 cm thick, isplaced in a water tunnel at 20°C. The water…

A: The cavitation bubbles start to form at the point of the vapor pressure of the fluid. The vapor…

Q: The small boat show in in the figure is driven at a steady speed vo by a jet of compressed air…

A: Given        Velocity, Ve = 250 m/s Temperature, Te = 30oC

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Q: A two-dimensional sheet of water, 10 cm thick and movingat 7 m/s, strikes a fi xed wall inclined at…

A: Draw the schematic diagram for the above problem.

Q: Repeat the fl at-plate momentum analysis  byreplacing Eq. given with the simple but unrealistic…

A: Reynolds number is defined as the ratio of Internal force in fluid to the viscous force in fluid.

Q: An excellent approximation for the two-dimensional incompressible laminar boundary layer on the flat…

A: (a) Write the given equation for δ. δ=Cx1/2 Here, δ is the boundary layer thickness for the flow.…

Q: Incompressible steady fl ow in the inlet between parallelplates in Fig. P3.17 is uniform, u = U 0 =…

A: Take a control volume for the flow as shown in the figure below. Understand that for steady flow.

Q: The velocity potential for a two dimensional incompressible irrotational fluid flow is ? = −?/2? ln…

A: (a) The relation between stream and velocity potential function,…

Q: Oil, of density ρ and viscosity μ , drains steadily down theside of a vertical plate, as in Fig.…

A:

Q: One of the corner flow patterns of Fig. 8.18 is given by thecartesian stream function ψ = A(3yx2 -…

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Q: What is the most general form of a purely radial polarcoordinate incompressible flow pattern, υ r =…

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Q: The viscous oil in Fig. P4.88 is set into steady motion by aconcentric inner cylinder moving axially…

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A:

Q: A buoyant ball of specific gravity SG < 1 dropped intowater at inlet velocity V0 will penetrate a…

A: Now write the expression for the buoyant force.

Q: P3.48 The small boat is driven at steady speed Vo by compressed air issuing from a 3-cm-diameter…

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Q: Under what conditions do both the stream function ψ andthe velocity potential ϕ exist for a fl ow fi…

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Q: ) a) Explain and discuss, the concept of velocity boundary layer and its importance in Fluid…

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Q: Consider a large dirigible (like the Goodyear blimp) with length L = 240 m, and average diameter D =…

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Q: A vortex ring is travelling from a less dense environment p, to denser medium p2 so that P2 > P1. If…

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Q: SAE 30 oil at 20 °C flows at 1.8 ft3/s from a reservoir into a6-in-diameter pipe. Use flat-plate…

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A: Fluid flow is characterized by several functions 1) Stream Function 2) Potential Function

Q: Given the steady, incompressible velocity distributionu = Ax , υ = By , and w = Cxy , where ( A , B…

A: Given,  x-component of velocity, u=Ax y-component of velocity, v=By z-component of velocity, w=C xy

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Q: The small boat in Fig. P3.48 is driven at a steady speed V 0by a jet of compressed air issuing from…

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Q: The flow pattern in bearing lubrication can be illustrated by Fig. P4.83, where a viscous oil (p, µ)…

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Q: Imagine a steady, two-dimensional, incompressible flow that is purely radial in the xy- or r?-plane.…

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Q: What is importance of complex Analysis in Fluid Dynamics? Find the Magnitude at any velocity in a…

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Q: What is D’Alembert’s paradox? Why is it a paradox?

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Q: Consider a flow field in polar coordinates, where the stream function isgiven as ψ = ψ(r, θ).…

A: Given data: Stream function, ψ=ψr, θ Derive two streamlines,

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Q: Pump specific speed and turbine specific speed are “extra” parameters that are not necessary in the…

A: Specific Speed is a dimensionless rating of pump discharge performance derived from an equation…

Q: Consider a steady, incompressible, irrotational and inviscid flow past an airfoil. If the velocities…

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Q: what are velocity components,potential function and stream function?…

A: Stream Function→ for 2D flow and 3D axial symmetric flows stream functions are defined. stream…

Q: Water flows through a two-dimensional narrowing wedgeat 9.96 gal/min per meter of width into the…

A: Given data: The flow rate, Q̇ = 9.96 gal/min. The width of the wedge, b = 1 m. Write the…

Q: an and Eulerian descri

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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.