In which of the following case flow net cannot be drawn?

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SSC JE CE Previous Year Paper 8 (Held On: 24 Jan 2018 Evening)
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  1. Irrotational flow
  2. Steady flow
  3. When flow is governed by gravity
  4. When flow is not governed by gravity

Answer (Detailed Solution Below)

Option 3 : When flow is governed by gravity
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A flow net is a grid obtained by drawing a series of equipotential lines and streamlines. Flow net is very much useful in analyzing the two dimensional, irrotational flow problems.

The flow nets can be constructed only in the following situations -

(i) The flow should be steady. This is so because streamline pattern for unsteady flow does not remain constant, it changes from instant to instant.

(ii) The flow should be irrotational, which is possible only when flowing fluid is an ideal fluid (having no viscosity) or it has negligible viscosity.

(iii) The flow should not be governed by the force of gravity, because under the action of gravity, the shape of the free surface changes constantly and hence no fixed flow net pattern can be obtained.

∴ Thus flow net cannot be drawn when the flow is governed by gravity.
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