Consider the following statements regarding streamlines-i It is a continuous line such that the tangent at any point on it shows the velocity vector at that pointii There is no flow across streamlinesiii dxu-dyv-dzwis the differential equation of a streamline- where u-v and w are velocities in directions x-y-z respectivelyiv In an unsteady flow- the path of a particle is a streamlinewhich one of the following combinations of the statements is true-

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Fluid Mechanics

Continuity Equation-II

Consider the ...

Question

Consider the following statements regarding streamline(s):
(i) It is a continuous line such that the tangent at any point on it shows the velocity vector at that point
(ii) There is no flow across streamlines

$(i i i) \frac{d x}{u} = \frac{d y}{v} = \frac{d z}{w}$

is the differential equation of a streamline, where u,v and w are velocities in directions x,y,z respectively
(iv) In an unsteady flow, the path of a particle is a streamline
which one of the following combinations of the statements is true?

(i),(ii),(iv)

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(ii),(iii),(iv)

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(ii),(iii),(iv)

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(i),(ii),(iii)

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Solution

The correct option is D (i),(ii),(iii)
(i),(ii),(iii)

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The correct option is D (i),(ii),(iii)(i),(ii),(iii)

The correct option is D (i),(ii),(iii)
(i),(ii),(iii)