The Newtonian fluid has the following velocity fields: V = a?y2î +2ay2zF– yz³k . The | rate of shear deformation at ɛ, Eyz the point X=-3, Y=-2 and Z=3 for the given flow is A -25.5 B -10.0 C C 5.12

Q: A velocity field is given by: u=3x, v=0 and w=-3z a. Is the flow rotational or irrotational? Show…

A: given; u=3xv=0w=-3z

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: A two-dimensional incompressible velocity fi eld has u =K (1 - e - ay ), for x ≤ L and 0 ≤ y ≤ ∞.…

A: Write the expression for the continuity equation.

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: QI A/ The inviscid, steady, and incompressible 2D flows are given by (a) o = x-3xy (b) y =x- 2xy-y?…

A: Velocity potential functionφ is defined as a scalar function of space and time such that its…

Q: 6.4 The three components of velocity in a flow field are given by u- + y + v - xy + yz + w- -3xz -…

A:

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

A:

Q: A steady, three-dimensional velocity field is given by V = (0.657 +1.73x +0.948y+as) + (2.61 +cr…

A:

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: A velocity field is defined as follows which describes airflow V(x, y, z) = (2x −4z)i + (−2y+3z)j +…

A:

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: The velocity components for a three dimensional incornpressible flow is given by : u=x'-y-2x,…

A:

Q: Explain the fundamental reason for shear viscosity oxz bị along the x-axis with velocity v(z). How…

A: Shear viscosity's primary function is to oppose the flow of fluid from one layer to another.

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

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 flow can be described by the following equations. u =x cos y and v =-2x siny. Then flow is (A)…

A: Given:u=x2 cosyv=-2x siny

Q: Determine the vorticity for the velocity field, u = 3x + 2y ,v = 5x – 3y %3D |

A: The components of the velocity field are given as, u=3x+2yv=5x-3y

Q: (c) The 3-plane pattern of a flow is given by w= 3(z + %). Determine the velocity V W = and the…

A:

Q: The value of b,

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

Q: Given the velocity field: u = -x²y² v = xyt How is the flow classified? a.Unsteady and Nonuniform…

A: Given data The velocity field is given byu =-x2 y2v = xyt The given questions are related to fluid…

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 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: A velocity field is given as V (x,y,z,t)=(5xy^2+t) I+ (2z+8) j+18 k. Here x,y and z are in metres…

A:

Q: velocity field is given by: A two-dimensional V = (x - 2y) ï- (2x + y) j a. Show that the flow is…

A: V= (x-2y) i^- (2x+y) j^

Q: (a) Determine the fluid acceleration at x-4, y-5. (b) Determine the rate of volumetric dilatation in…

A:

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

A:

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

A: Given data Stream function,ψ = 5x2y  - s3y3 We have to find the corresponding velocity potential.

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: 1. Find the velocity at a point (4, 3, 1) after 2 sec. for a three dimensional flow given by Eq.1. ?…

A:

Q: B/The three components of velocity in the flow field are given below. Determine an expression for…

A:

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: 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 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: Q4/ the velocity distribution over a plate is given by u= if the viscosity of liquid is 8 poise,…

A:

Q: whether the function o represents the velocity potential %3D x2+y2 lar incompressible 2D flow, and…

A: ∅=cxx2+y2 c=2Now for φ to represent velocity potential of incompressible 2D 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.