An Eulerian velocity vector field is described by V = 2xi − y2j − 3k, where i, j and k are unit vectors in the x-, y- and z-directions, respectively. (a) Is the flow one-, two- or three-dimensional? (b) Is the flow compressible or incompressible? (c) Does the the density field ρ = 2x/y satisfy the continuity equation? (d) What is the acceleration following a fluid particle?

Q: A velocity field is given below. Find the stream and velocity potential functions corresponding to…

A: Given Velocity functionTo find out Stream function Potential function

Q: A two-dimensional velocity field is given by V= (r-y+x)i - (2ry +y)j [m/s}, compute (a) The speed at…

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Q: The stream function for a two-dimensional flow is given by v = 2xy. The velocity at (2, 2) is?

A: Stream function  = 2xyTo Find :Velocity at ( 2, 2 ) is ?

Q: Consider the following steady, two-dimensional velocity field: √ (u, v) = = (0.21 +2.1a) +…

A: V→ u,v=(0.21+2.1x)i→+(-2.9-2.1y)j→ To find:- Location of stagnation point Concept:- A stagnation…

Q: With reference to a standard Cartesian (x, y) plane, the parabolic velocity distribution profile of…

A: Given: Parabolic velocity profile distribution To find: Maximum velocity Average velocity  Note :…

Q: Q4) An incompressible, viscous fluid is placed between horizontal, infinite, parallel plates as is…

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Q: 4.23 The velocity components of u and v of a two-dimensional flow are given by u = ax + bx x²y² and…

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Q: A two-dimensional flow pattern is as shown in figure. Water is flowing out an opening with a…

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Q: With reference to a standard Cartesian (x, y) plane, the parabolic velocity distribution profile of…

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Q: a) Explain what is the stagnation pressure. b) A steady, incompressible, two-dimensional velocity…

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Q: A steady, incompressible, two-dimensional velocity field is given by: V=(0.5+0.8x)i+(1.5-0.8y)j…

A: Velocity field, To find:           (a) Stagnation points in the flow field.           (b) Sketch the…

Q: A velocity field is given by the equation v = (3x)i + (2y)j. The y-component of the acceleration,…

A: Equation of velocity V = (3x)i + (2y)j  Determine the y-component of the acceleration (ay).

Q: 1. Consider a water jet having a diameter of D = 1 cm and a flow of Q = 1 L/s. The jet is deflected…

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Q: The block slides at a constant speed on a surface with friction. In each case, the water jet has…

A: Given:- The velocity of the water jet = 50 m/s The cross-sectional area = 5 cm2  The velocity of the…

Time and time related variables in engineering

Time is the event progression starting from past to present and then, future statistically. The time-related variable is any particular value in relation to time to assess its changes on a specified (XY) plane.