The stream function for a given 2D flow fields is V = 5x²y – (s/3)y Determine the corresponding velocity potential.

Q: for the following flows, find the equation of the streamline through(1,1). v= -y^(2)i-6xj

A: Given:Velocity vector, V=-y2 i-6 x jPositio of point, x, y=1, 1Find:The equation of streamline

Q: The flow function for a flow field is given as ψ=x2*y-(y3/3). Find the speed potential. Provide…

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Q: Check if o = x - y + y represents the velocity potential for 2-dimensional irrotational flow. If it…

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Q: y = 2r'sin20 (2) 0.5 m A 2D inviscid incompressible fluid flow around a corner is In addition, if…

A: Given:- stream function ψ=2r2sin2θ, where ψ has units of ms2,r is in meters. fluid density=103kgm2…

Q: 3.4 The stream function in a two dimensional flow field is given by y = x² - y? The magnitude of the…

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Q: In a certain two‐dimensional flow field, the velocity is constant with components u = –4 ft/s and v…

A: to find:the velocity potential function  for the flow fieldthe stream function for the flow…

Q: 3. The two-dimensional velocity field v = (3t- 8xy)i+ 4(y – x')j satisfies the Euler's equation of…

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Q: The stream function in a two-dimensional flow field is given by y = x2 – y?. Then the magnitude of…

A: Given, Stream function = Ψ = x2 - y2   Velocity in x-direction can be given by, u = - ∂ψ∂y= -∂∂y x2…

Q: A two-dimensional flow field is given by u = 5x 2 − 5y 2v = −10xy (i) Find the streamfunction ψ and…

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Q: An equation for the velocity for a 2D planar converging nozzle is w = 0 Where U is the speed of the…

A: Given: Velocity in x direction is, u=U1+xL Velocity in y-direction is, v=-UyL

Q: lot the velocity field, potential field, and streamlines. Please explain it in detail.

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Q: coordinates are in meters. Determine whether the flow field is three-, two-, or one-dimensional.…

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Q: A two-dimensional flow field has velocities along x2t and the x and y directions given by u = V =…

A: Given data: u=x2tv=-2xyt Need to determine the streamline equation.

Q: Velocity field for uniform flow at an angle a with the X-axis can be written as V = (U cos a) i + (U…

A: given; V=(Ucosα)i+(Usinα)j

Q: For the stream function Y = r5/2 sin streamlines of this flow. 50 2 calculate the pressure field and…

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Q: le fluid flow. ntial

A: The velocity potential is-

Q: The velocity in a certain flow field is given by the equation below, V = (x² - y²)ī — 2xyj Show that…

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Q: Calculate the material acceleration for the following steady, incompressible velocity field:

A: Given: Velocity fieldV→=0.5+0.8xi^+1.5-0.8yj^

Q: velocity field V = xy^2ti + zxj −t^3k exists at the 3D plane along a streamline that passes through…

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Q: 2-D unsteady flow field has the velocity components: v = - x²y?t u = - Plot the streamline passing…

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Q: The velocity potential for a two-dimensional velocity field is given by the relation fi=(7/3)x3-7xy2…

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Q: A 2D velocity field is given by V = (u, v) = (2.7 - 1.9x, 0.7 + 1.6y), where the coordinates are in…

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Q: The value of b,

A: Given; The velocity field of an incompressible flow is given in question: Where, a1=2…

Q: v=2r + 3r²sine

A: Consider a particle having position r which is changing with respect to time t. Let vr and vθ be the…

Q: Problem 3: Obtaining the stream function from velocity components The steady state, incompressible…

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Q: The velocity field of a flow is given by V = axyi + byj where a = 1 m's and b = - 0.5 m's". The…

A: Write the given data with suitable variables. V→=axy i^+by2 j^a=1 m-1s-1b=-0.5 m-1s-1

Q: eam function is given by u = 3 xy. Determine (i) The velocity function u, eration component at (1,…

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Q: 4. Show that the velocity field V = 2y(2x + 1)î + [x(x+1) – 2y²1j represents a possible…

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Q: A flow is described by velocity V=ay i+bt j ,a=1s-¹ and b =.5m/s².at t=25s,what are the coordinates…

A: we know thatVelocity V=dydtdydt=btdy=bt.dtintegrating both sides we get∫y0ydy=∫t0tbt.dty-yo=br220t

Q: the constants 1, m, and m

A: L , m , n are the constrains of above equations.

Q: Given the vector equation below for velocity of a given fluid: V=(0.5+1.2x)i + (-2.0-1.2y)j, derive…

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Q: The stream function in a two dimensional flow field is given by  sie= x2 - y2  .find the magnitude…

A: Given data: ψ=x2-y2 Need to determine the magnitude of the velocity at point (1,1) .

Q: The stream function for a given two-dimensional flow field is = 5x²y - 5y³. Determine the velocity…

A: First check whether flow is irrotational or not.because velocity potential function is only defined…

Q: Ux = -ax Uy = ay  Using the streamline equations show the streamlines of the flow as well as stating…

A: Given data ux=-axuy=ay Here, ux and uy is the speed of the flow in X and Y direction. Now we have to…

Q: The velocity field of a flow is given by V = aryi + by'j where a = 1 m's' and b = - 0.5 m's'. The…

A: The velocity vector can be compared with  V→= ui^ +vj^  u = axy = xy v= by^2 = -0.5y^2 since both…

Q: A horizontal flow field has the following velocity components: u = (y2 – x2) m/s = (2xy) m/s a) The…

A: Velocity equations: u= (y2 - x2) m/s v= (2xy) m/s Pressure at point A (3m, 2m), P1= 600 kPa Pressure…

Q: If u = ax and v = ay and w = -2az obtain equation of streamline passing through the point (2, 2,4)…

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Q: A unifom flow field defined by y - y is superposed on u=xi-yj. Determine the stream function and…

A: The above question relates to kinematic of fluid flow.

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.