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GATE 2015 : Engineering Sciences [Section B]

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GATE 2015 FLUID MECHANICS XE-B B : FLUID MECHANICS Q. 1 Q. 9 carry one mark each. Q.1 The gap between two concentric cylinders, each of height h, is filled with an oil. The torque required to rotate the inner cylinder at an angular velocity of against the fixed outer cylinder is T. The diameter of the inner cylinder is d and < < d. The dynamic viscosity of the oil is given by (A) Q.2 (B) (C) (D) Water is retained against a sluice gate in the form of a circular segment as shown in the figure. If and are the density of water and gravitational acceleration respectively, the upward force exerted by the gate on the water per unit depth perpendicular to the plane of the figure is (A) (B) cos sin (C) Q.3 sin 2 cos sin (D) cos sin ) +2 A two-dimensional velocity field is given by = 10( , where and are the unit vectors in the directions of the rectangular Cartesian coordinates x and y, respectively. If the flow is incompressible, the constant should be (A) 10 Q.4 XE-B (B) 0 (C) 5 (D) 10 Let and denote the velocity vector and temperature in a flow field. The rate of change of temperature experienced by a fluid particle as it is passes through the point (x1, y1, z1) at a time t1 is 2.5 oC/s. The rate of change of temperature at a time t1 at the point (x1, y1, z1) is at (x1, y1, z1) and t1 in oC/s is _____ 4.8 oC/s. The quantity . 1/6

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