Fluid Mechanics Assis.Professor Dr. Hasan Ali Jurmut HOMEWORK Q/A two-dimensional flow field has velocities along the x and y directions given by u = x2t and v = 2xyt, respectively, where t is time. Determine the acceleration .If the time is(5 sec.) at point (3,5). Q/Consider steady, incompressible and flow through a reducer in a

Q: The first time derivative of vector A cross vector B is equal to the first time derivative of vector…

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Q: A steady, incompressible, two-dimensional flow over a newly designed small hydrofoil is modeled with…

A: Need to draw arrow on the graph to show the velocity at A and B with its direction Need to calculate…

Q: Problem: A flow field is defined by u = 3y ,v= 2 xy.w= 4 z. Derive expressions for the x. y, and z…

A: Given: u=3yv=2 xyw=4zP=(1,2,1)

Q: velocity field v = t2 (x2y, xy2) in cartesian plane. 1. is the flow compresible or incompresible?…

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Q: For the following velocity field, determine the constant a for having an incompressible fluid flow.…

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Q: 4) Using the potential flow theory, derive the potential flow velocity of a flow around a circular…

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Q: Given a velocity field as V(x, y, z) = axî – ayĵ With units of velocity in m/sec; x and y in meters;…

A: as per our company policy ew have restricted to give the answer of only first 3 subparts so please…

Q: The velocity components of a flow field are given by: u = 2x² – xy + z², v = x² – 4xy + y², w = 2xy…

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Q: Verify whether or not the following difference representation for the continuity equation for a 2-D…

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Q: 1) A steady, incompressible, two-dimensional velocity field is given by the following components in…

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Q: A flow is described by velocity field, V=ayi+btj, where a=1 s-1and b=0.5 m/s2.At t=n s (Where n is…

A: Given: The expression of velocity is V=ayi+btj. Here, a=1 s-1and b=0.5 m/s2. n = 19

Q: Incompressible steady flow in the inlet between parallel plates is uniform, Vo = 8 cm/s, while…

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Q: A CFD model of steady two-dimensional incompressible flow has printed out the values of velocity…

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Q: Consider the incompressible, irrotational, 2D flow. where the stream function is given by: 4 = 424…

A: Given: φ=4zy Solution: (a) The velocity field is given as : v=∂φ∂z=∂∂z(4zy)=4yw=-∂φ∂y=-∂∂y(4zy)=-4z…

Q: Converging duct flow is modeled by the steady, two- dimensional velocity field √ = (u, v) = (U₁ +…

A: V=U0+bxi-byjHere,U0=3.56 ft/sb=7.66 s-1x=0 ft to 5 fty=-2 ft to 2 ft

Q: A incompressible, steady, velocity field is given by the following components in the x-y plane:…

A: GIVEN DATA - VELOCITY IN X-DIRECTION  u = 0.205 + 0.97x + 0.851y VELOCITY IN Y-DIRECTION v = v0 +…

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.