GATE XE (Engineering Sciences) 2023 - Question 28

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Section: Fluid Mechanics | Marks: 1

Which of the following statements are true? (i) Conservation of mass for an unsteady incompressible flow can be represented as βˆ‡β‹…π‘‰βƒ—βƒ—= 0, where 𝑉⃗⃗ denotes velocity vector. (ii) Circulation is defined as the line integral of vorticity about a closed curve. (iii) For some fluids, shear stress can be a nonlinear function of the shear strain rate. (iv) Integration of the Bernoulli’s equation along a streamline under steady-state leads to the Euler’s equation.

  • A. (i), (ii) and (iv) only
  • B. (i), (ii) and (iii) only
  • C. (i) and (iii) only
  • D. (ii) and (iv) only

Answer: C. (i) and (iii) only

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