A 2D velocity field is given by V = (u, v) = (2.5 - 1.9x, 0.65 + 0.9y), where the coordinates are in m and the velocity is in m/s. Find the volumetric strain rate (in s^(-1))

Q: Velocity field of an incompressible flow is given by V = 6xi − 6yj (m/s) a) Find the pathlines in…

A: Introduction:

Q: The velocity components are given by in the following case u =x' +y +z, v =-xy- yz -x Find the third…

A: Given: u=x3+y+zv=-x2y-yz-x

Q: unsteady velocity field V = xy'ti + zxj – t°k exists at the 3D plane along a streamline that passes…

A:

Q: A film of liquid with kinematic viscosity and density p spreads over a flat horizontal surface due…

A: Given Data: Pressure Variation is hydrostatic in y-direction at x=0, h=ho Find: (a) show that…

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

A:

Q: For the flow of an incompressible fluid, the velocity in x-direction u = Find velocity component in…

A: GIVEN DATA - VELOCITY IN X-DIRECTION u=ax2+by VELOCITY INZ-DIRECTION ZERO WE HAVE TO FIND VELOCITY…

Q: A 2D incompressible velocity field is defined by . If both u and v are 0 at point (x = 0, y = 0),…

A: Given Data: The flow is 2D and incompressible. The flow is defined as u=2(x2-y2). The pressure and…

Q: If the velocity field is (₂) ³ (x3 what is the stationary point (x,y)? FOR CREDIT, INCLUDE…

A:

Q: why is velocity 0 at centre of sphere

A: For flow past over sphere, when it strikes on sphere at that point kinetic energy of fluid converted…

Q: Q1. The material time derivative in the x and y direction for a 2D flow are given by: Dv Du du du du…

A:

Q: A velocity field (V) is specified as: V =5x²î +6zî + 4x'tk (units of velocity in [m/s]) Calculate…

A:

Q: A velocity field is given,V=x2 i+2xyt j+2yzt k Find magnitude of velocity at (2,-1,1) and t=1…

A: Given: V=x2 i+2xyt j+2yzt k u= x2 v= 2xyt w= 2yzt x=2, y=-1, z=1, t=1

Q: 1. A flow in the x-y plane is given by the following velocity field: u-3 and v=6m/s for 0<t<20s;…

A: a)In the given problem, for the given particle released at t= 0 s,and u = 3m/s and v = 6 m/sDuring…

Q: . Determine the displacement gradient tensor, right Cauchy-Green deformation tensor, small…

A: Given: u=AX12X3BX1X2X3CX2+CX32 To find: Displacement gradient tensor Right Cauchy-Green deformation…

Q: An unsteady velocity field V = xy'ti + zxj – t°k exists at the 3D plane along a streamline that…

A:

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

A:

Q: A stream function is given by = 4x – 3y. The resultant velocity at any point is

A:

Q: Air fl ows isentropically from a reservoir, where p =300 kPa and T = 500 K, to section 1 in a duct,…

A:

Q: A flow is uniform if the parameters describing the flow vary with distance along the flow path.…

A: To define : flow is uniform or not

Q: A two - dimensional velocity field is given as V = -2yi – 2xj Find the current function 4(x,y) of…

A: Given  V = - 2y i - 2x j   To determine  the current function ψ(x,y) of the velocity field  and the…

Q: The velocity field is given as u=y-1 and v=y-2. The units of u and v are m/s and the units of x and…

A: a).

Q: two dimensional velocity field is given =2nx2-yi+(3nxy+x2)j (where n=3439) Is this field steady?…

A: Given Data⇒ V=2nx2-yi+3nxy+x2j n=3439 So V=6878x2-yi+10317xy+x2j

Q: onal flow field is give

A: given: φ=x2-y2

Q: "A steady, incompressible, two-dimensional velocity field is given by V = (u, v) = (2.7-1.75x, 0.7+…

A:

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 +…

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: V = uî + vỹ + wk [m/s] u = 3xy? v = 10z?y w = 5

A: stress tensor is defined by general expression as given in below image. find all the term and put…

Q: Assumptions The flow is steady. The flow is incompressible. The flow is two-dimensional in the x-y…

A:

Q: We want to know the velocity component of a fluid flow normal to a given surface: v, = un. Compute…

A:

Q: If the velocity field, V=3y2 i. Which of the following is NOT TRUE? Select one: The flow is steady…

A: Given data: V=3y2i Need to determine the statements which are not true.

Q: 2. Find the rate of deformation for a line vortex with velocity field V=YG x² + y² Ans. E = -8 39…

A:

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.