Which one of the following statements is false concerning the derivation or usage of Bernoulli’s equation? (a) The fluid must be non-viscous. (b) Streamline flow is assumed. (c) The fluid must be incompressible. (d) The work-energy theorem is used to derive Bernoulli’s equation. (e) Vertical distances are always measured relative to the lowest point within the fluid.

Q: 6.26 The velocity components in an ideal, two-dimensional velocity field are given by the equations…

A:

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A: (a) For incompressible continuity equation :   As there is no nonlinear term.

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A: Part 2:Explanation:Step 1: Begin by understanding the problem statement, which describes a cylinder…

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A: given:

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A:

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A: Two-dimensional flowVelocity fields,u = 1 andv = 2yt

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A:

Q: Consider a steady two-dimensional steady viscous incompressible flow between two infinitely large…

A: Given:

Q: Describe the Bernoulli's equation and its applications in fluid mechanics.

A:

Q: 1. Which of the following functions could represent the velocity potential for the two- dimensional…

A:

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A:

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A: Since the shear stress between the parallel plates is constant, the centreline velocity will be…

Q: Consider the following steady, two-dimensional, incompressible velocity field: V = (u, v) = (ax +…

A: solution: V=(u,v)=(ax+by2)i+(bx2-ay)ju =ax+by2v =…

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A: It is asked to find the velocity profile of the flow also find the force acting on the fluid stream

Q: thin layer oI water flowWs down a plate inclined to the horizontal with an angle a = 15° in the…

A: ζ=μvαForce=F=ζAF=μAvαF=mg sinα

Q: I am confused whether points A and B do not lie on the same streamline in this equation

A: Given that, The mechanical system is given as, PBρ+12VB2+gzB=PAρ+12VA2+gzA+w-lossWhere loss≥0…

Q: A velocity field is given by u-V cosa, v= V sinx and w=0. The equation for streamline will be: y=x…

A: Option A is correct

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.