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GATE ME 2019: Fluid Mechanics Rapid Quiz-2 (App update required to attempt this test)

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Question 1

Calculate the power required to maintain 0.08

of petrol(sp. gr. 0.7) through a steel pipe of 0.3 m diameter and 800 m long. Take a friction factor f= 0.015 in the Darcy relation.

Question 2

Water flows at a steady mean velocity of 2.5m/s through a 45 mm diameter pipe slopping upwards 45 ° to the horizontal. At a section some distance downstream of the inlet the pressure is 800 kPa and at a section 30 m further along the pipe the pressure is 480 kPa. Determine the average shear stress at the wall of the pipe.

Question 3

For a two-dimensional flow, the velocity field is

where i and j are the basis vectors in the x-y Cartesian coordinate system. Identify the CORRECT statements from below.
(1) The flow is incompressible.
(2) The flow is unsteady.
(3) y-component of acceleration,

(4) x-component of acceleration,

Question 4

A streamline and an equipotential line in a flow field

Question 5

Match the following
$Description: D:\GradeStack Courses\GATE Tests (Sent by Ravi)\GATE EC-ME-17-Mar\GATE-ME-2010_files\image108.png$

Question 6

Velocity vector of a flow field is given a $Description: D:\GradeStack Courses\GATE Tests (Sent by Ravi)\GATE EC-ME-17-Mar\GATE-ME-2010_files\image070.png$ The vorticity vector at (1,1,1) is

Question 7

Air flows through a venturi and into atmosphere. Air density is ρ; atmospheric pressure is P_a; throat diameter is D_t; exit diameter is D and exit velocity is U. the throat is connected to a cylinder containing a frictionless piston attached to a spring. The spring constant is k. the bottom surface of the piston is exposed to atmosphere. Due to the flow, the piston moves by distance x. assuming incompressible frictionless flow, x is
$Description: D:\GradeStack Courses\GATE Tests (Sent by Ravi)\GATE ME-28-Mar\GATE-ME-2003_files\image229.jpg$

Question 8

Consider steady, incompressible and irrotational flow through a reducer in a horizontal pipe where the diameter is reduced from 20 cm to 10 cm. The pressure in the 20 cm pipe just upstream of the reducer is 150 kPa. The fluid has a vapour pressure of 50 kPa and a specific weight of 5 kN/m³. Neglecting frictional effects, the maximum discharge (in m³/s) that can pass through the reducer without causing cavitation is

Question 9

The velocity field of an incompressible flow is given by where a₁ = 2 and c₃ = -4. The value of b₂ is ________

Question 10

The velocity field of an incompressible flow is given by where a₁ = 2 and c₃ = -4. The value of b₂ is ________

Question 11

If the fluid velocity for a potential flow is given by V(x,y) = u(x,y)i+ v(x,y)j with usual notations, then the slope of the potential line at (x. y) as

Question 12

A model of a hydraulic turbine is tested at a head of 1/4^th of that under which the full scale turbine works. The diameter of the model is half of that of the full scale turbine. If N is the RPM of the full scale turbine, then the RPM of the model will be

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ESE & GATE ME Fluid Mechanics & Machinery

Sep 28ESE & GATE ME