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GATE 2018 : Engineering Sciences [Section B / Fluid Mechanics] (with Final Answer Keys)

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GATE 2018 Fluid Mechanics (XE (B)) Q. 1 Q. 9 carry one mark each & Q. 10 Q. 22 carry two marks each. XE (B): Q.1 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 I Column II (i) Newtonian M (ii) Shear thinning N (iii) Shear thickening O (iv) Bingham plastic P 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 Q.2 In a two-dimensional, incompressible and irrotational flow, stream function ( ( x, y) ) and velocity potential ( ( x, y) ) exist. The velocities in x and y directions are non-zero. dy dy and , is The product of dx constant dx constant (A) Q.3 (B) 0 The inviscid flow past a rotating circular cylinder can be generated by the superposition of (A) uniform flow, source and vortex (C) uniform flow, sink and vortex Q.4 = (B) = (C) = (D) The influence of Froude number is most significant in (A) capillary flows (C) free surface flows XE (B) (B) uniform flow, doublet (D) uniform flow, doublet and vortex The velocity field and the surface normal vector are given by, V u i v j wk and n n1 i n2 j n3 k , respectively. If Euler equations are to be solved, the boundary condition that must be satisfied at the wall is, = (A) Q.5 (D) (C) (B) creeping flows (D) compressible flows 1/5

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