1
GATE ME 2022 Set 1
MCQ (Single Correct Answer)
+1
-0.33

In the following two-dimensional momentum equation for natural convection over a surface immersed in a quiescent fluid at temperature T (g is the gravitational acceleration, β is the volumetric thermal expansion coefficient, ν is the kinematic viscosity, u and v are the velocities in x and y directions, respectively, and T is the temperature)

$\rm u \frac{\partial u}{\partial x} + v \frac{\partial u}{\partial y} = g β (T - T_∞) + \nu \frac{\partial^2 u}{\partial y^2} $

the term gβ(T - T) represent

A
Ratio of inertial force to viscous force
B
Ratio of buoyancy force to viscous force
C
Viscous force per unit mass
D
Buoyancy force per unit mass
2
GATE ME 2022 Set 1
MCQ (More than One Correct Answer)
+1
-0

The figure shows a purely convergent nozzle with a steady, inviscid compressible flow of an ideal gas with constant thermophysical properties operating under choked condition. The exit plane shown in the figure is located within the nozzle. If the inlet pressure (P0) is increased while keeping the back pressure (Pback) unchanged, which of the following statements is/are true?

GATE ME 2022 Set 1 Fluid Mechanics - Fluid Dynamics Question 10 English
A
Mass flow rate through the nozzle will remain unchanged
B
Mach number at the exit plane of the nozzle will remain unchanged at unity
C
Mass flow rate through the nozzle will increase
D
Mach number at the exit plane of the nozzle will become more than unity
3
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
$\frac{1}{12}$
4
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
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