In Cartesian coordinates (x, y, x), the velocity of a three-dimensional flow in x and an incompressible motion in three directions in the x and z directions are given below. u=3.x.y2 w=4.y.z2 If only the numerical magnitude of the speed in (1,2,1) coordinates is 15 speed units a) What is the Velocity expression in the y direction b) what are the acceleration components in the three directions c) Calculate the resultant acceleration at point (3,1,2)

Q: 1. Consider a two-dimensional flow which varies in time and is defined by the velocity field, u = 1…

A: Velocity field, U =1 , V= 2yt

Q: The terminal velocity of a sphere (maximum drop velocity) depends on sphere  diameter (D), sphere…

A:

Q: Three students at NUST derive the following equations in which x refers to distance traveled, v the…

A:

Q: Question [3]: Slider D has a velocity of 3 ft/s up the channel. For the instant shown, using…

A:

Q: Question 5 Saved 1-> =0 C D Separation streamline The magnitude of the velocity of the air at the…

A: Given: Velocity profile Required: Velocity at the surface

Q: Q4) A cat walks along a straight line. The equation for its position as a function of time is x(t) =…

A:

Q: 5. You are surfing, but the waves are lame so you paddle back to shore. The waves are pushing you…

A: given; speed of wave(V1)=10ft/s (left side)paddling velocity (V2)=5ft/s (right side) at an angle…

Q: Plot the streamlines for the following equations passing from the given points. Use the chart type…

A: The problem is that the constant C will vary for each stream line Streamline 1 y=3x^2+c given that…

Q: The two components of the velocity vector are given as Vx = –ay/(x2+ y2)1/2 and Vy = ax/(x2+ y2)1/2…

A:

Q: 1) In a flow of fluid, velocity field is given by u=-y, v=x, w=0. a) Find the orbitals. b) Obtain…

A: Streamline is the trajectory that the massless fluid particles make as they travel through the flow.…

Q: dv dy

A: first of all find out the shear stress = force/ Area. then apply newtons law of viscosity.for…

Q: (Q6] (a) At this instant, find angular acceleration and angular velocity for CD using Absolute…

A: 1.For problem a , we have to find angular velocity and angular acceleration for link CD by using…

Q: Problem 2: Obtaining velocity components from streamlines The stream function for a particular flow…

A:

Q: The periodic time (T) is given by (where, w = Angular velocity of particle in rad/s.) CA) 0/27 O(B)…

A: Anhular velocity or angular frequency (ω) can be given by, ω = 2 π f Where, f = Frequency…

Q: 3.7 A steady, incompressible, inviscid 2D velocity field is given by to + ay i-(8x – by)} 3 For what…

A:

Q: (b) Figure Q1 (b) shows plane to be treated as a particle moving along the path of cquation y =…

A:

Q: What are the primary dimensions of the following parameters: Energy, E; Specific energy, energy per…

A:

Q: Consider a two-dimensional flow which varies in time and is defined by the velocity field, u = 1 and…

A: Find outDoes the fluid element experience angular rotation? Thus, state whether the flow field is…

Q: Dimensional analysis: O Is very helpful in determining speeds for dynamic similarity in model…

A: Dimensional analysis is used for?

Q: In curvilinear kinematics, can tangential acceleration = net acceleration? If yes, when does it…

A: In curvilinear kinematics, the tangential acceleration can be equal to net acceleration.

Q: Example: Give the primary dimensions (T): Time. [Ml: Mass and (: Length) and one of sURgested units…

A: 1. The dimensions of X1 can be determined as,…

Q: .(b). A force acts on a 2.80-kg particle in such a way that the position of the particle as a…

A:

Q: I have data accrued from a fan could you explain to me the concepts and show me how to calculate the…

A: The given data of the fan in the table consists of time and the air speed of the…

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: A velocity field V = (x - 2y)ỉ - (2x + y)¡ given in the form. a)specify how many directions is the…

A:

Q: [Q6] At this instant , find angular acceleration and angular velocity for BC using I- Absolute…

A: 1 2

Q: A device known as pulse oximeter is used to record the variation in blood volume in superficial…

A:

Q: IN FLUID MECHANICS, THE DIVERGENCE OF VELOCITY EXPRESSES In fluid mechanics, the divergence of…

A: In fluid mechanics, the divergence of velocity expresses a volume dilatation rate.

Q: ere we are looking at a large billboard that will be exposed to a wind load. Use the table to find:…

A: x/y = 4/2.5 = 1.6 cd= 1.1

Q: When a liquid in a beaker is stirred, whirlpool will form and there will be an elevation difference…

A:

Q: A force of magnitude 10N moves a slider from A(6,-8,0) to D(0, 16, 12) at a constant speed of 5m/s.…

A:

Q: [Q6] (a) At this instant, find angular acceleration and angular velocity for CD using Absolute…

A:

Q: Fig. 3-16a, starting from home. At the end of the fifth run, what are the magnitude and angle of the…

A: First of all we should find out  d¯net=d¯,+d¯2+d3+d4 by using of resultant formula and magnitude…

Q: Find the flow of the velocity field F = (7y2 +6) + (14xy)j along each of the following paths from…

A: Vector field F =It is asked to find the flow of velocity along the lines y = 3x and y = 3x2 from…

Q: The velocity field for fluid flow can be described by the equation: v = a√x² + y² (13) ² k where a =…

A: Velocity field, where, and x,y and z are distances in meters.The general velocity field can be…

Q: a)specify how many directions is the current? b) please show whether the current is stable? c) is…

A:

Q: a (m/s') SpaceX engineers is planning to build a 2-stage rocket which has a-t graph as shown. By…

A: From the given graph of acceleration-time diagram, As we know area under the curve of acceleration…

Q: 1. The reason for the flight of the aircraft is that it is driven by the airflow from the lower part…

A: Since we only answer up to 3 sub-parts, we’ll answer the first 3. Please resubmit the question and…

Q: The data given in the accompanying table represents the velocity distribution inside a pipe. Find…

A: given data;radial distance in (m)fluid velocity…

Q: A fisherman winds 3.0 m af fishing line onto a reel whose radius is 3.0 cm in 9.0 s. The line is…

A: The length of the fishing line, (L)=3 m.Winding time of fishing line into a reel, (t)=9 sThe radius…

Q: in an au аж ах axi a UIT ().

A: The equation given is  Uj∂Ui∂xj=∂∂xjTijρ ρ is density and is constant.

Q: Explain the physical meaning of each term in the equation of acceleration field the reason why it is…

A: Material acceleration: It is the speed increase following a liquid molecule.  For the most part, the…

Q: 1. Consider a two-dimensional flow which varies in time and is defined by the velocity field, u = 1…

A: U = 1 and v= 2yt

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.