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Discussion

Rheological diagram of different types of fluids is shown in figure. Column I represents the nature of the fluid and column II represents the curve showing the variation of shear stress against shear strain rate.

Column IColumn II
(i) NewtonianM
(ii) Shear thinningN
(iii) Shear thickeningO
(iv) Bingham plasticP

Shear stress against shear strain rate: M is a straight line starting above the origin, O a straight line through the origin, N curves upward and P curves downward from the origin

The most appropriate match between columns I and II is,

  • A.(i) - O; (ii) - N ; (iii) - P; (iv) - M
  • B.(i) - O; (ii) - P ; (iii) - N; (iv) - M
  • C.(i) - P; (ii) - O ; (iii) - M; (iv) - N
  • D.(i) - P; (ii) - O ; (iii) - N; (iv) - M

Answer: B

The match is (i) - O; (ii) - P; (iii) - N; (iv) - M.

  • A Newtonian fluid has shear stress proportional to strain rate: a straight line through the origin, curve O.
  • A shear-thinning fluid's apparent viscosity falls as the rate rises, so the curve bends down towards the rate axis: P.
  • A shear-thickening fluid's viscosity rises with rate, so its curve bends upward: N.
  • A Bingham plastic does not flow until a yield stress is exceeded, then behaves linearly: a straight line starting above the origin, M.

Options pairing Newtonian with P, or Bingham plastic with N, put a curved line where a straight one is needed, and the first option swaps thinning and thickening.

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