1
GATE ME 2022 Set 2
MCQ (Single Correct Answer)
+2
-0.66
The steady velocity field in an inviscid fluid of density 1.5 is given to be $\vec{V}=(y^2-x^2)\hat{i}+(2xy)\hat{j} $. Neglecting body forces, the pressure gradient at (x =1, y = 1) is ______.
A
10 ĵ
B
20 î
C
-6î - 6ĵ
D
-4î - 4ĵ
2
GATE ME 2022 Set 1
MCQ (Single Correct Answer)
+2
-0.66
A solid spherical bead of lead (uniform density = 11000 kg/m3) of diameter d = 0.1 mm sinks with a constant velocity V in a large stagnant pool of a liquid (dynamic viscosity = 1.1 × 10-3 kg∙m-1∙s-1). The coefficient of drag is given by $\rm C_D = \frac{24}{Re} $, where the Reynolds number (Re) is defined on the basis of the diameter of the bead. The drag force acting on the bead is expressed as $\rm D = (C_D) (0.5 \rho V^2) \left( \frac{\pi d^2}{4} \right), $ where ρ is the density of the liquid. Neglect the buoyancy force. Using g = 10 m/s2, the velocity V is __________ m/s.
A
$\frac{1}{24}$
B
$\frac{1}{6}$
C
$\frac{1}{18}$
D
$\frac{1}{12}$
3
GATE ME 2022 Set 1
MCQ (Single Correct Answer)
+2
-0.66
Consider steady, one-dimensional compressible flow of a gas in a pipe of diameter 1 m. At one location in the pipe, the density and velocity are 1 kg/m3 and 100 m/s, respectively. At a downstream location in the pipe, the velocity is 170 m/s. If the pressure drop between these two locations is 10 kPa, the force exerted by the gas on the pipe between these two locations is _______ N.
A
350π2
B
750π
C
1000π
D
3000
4
GATE ME 2017 Set 2
Numerical
+2
-0
The arrangement shown in the figure measures the velocity $$V$$ of a gas of density $$1kg/{m^3}$$ flowing through a pipe. The acceleration due to gravity is $$9.81m/{s^2}.$$ If the manometric fluid is water (density $${1000kg/{m^3}}$$ ) and the velocity $$V$$ is $$20 m/s,$$ the differential head $$h$$ (in $$mm$$) between the two arms of the manometer is ______. GATE ME 2017 Set 2 Fluid Mechanics - Fluid Dynamics Question 32 English
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GATE ME Subjects
Turbo Machinery
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