Fluid Properties · Fluid Mechanics · GATE ME
Marks 1
1
Assuming constant temperature condition and air to be an ideal gas, the variation in atmospheric pressure with height calculated from fluid statics is
GATE ME 2016 Set 2
2
The difference in pressure (in $$N/{m^2}$$) across an air bubble of diameter $$0.001$$ $$m$$ immersed in water (surface tension $$ = 0.072$$ $$N/m$$) is _____________.
GATE ME 2014 Set 2
3
For a Newtonian fluid:
GATE ME 2006
4
An incompressible fluid (kinematic viscosity $$ = 7.4 \times {10^{ - 7}}\,\,{m^2}/s,$$ specific gravity, $$0.88$$) is held between two parallel plates. If the top plate is moved with a velocity of $$0.5$$ $$m/s$$ while the bottom one is held stationary, the fluid attains a linear velocity profile in the gap of $$0.5$$ $$mm$$ between these plates; the shear stress in Pascal on the surface of bottom plate is :
GATE ME 2004
5
The $$S{\rm I}$$ unit of kinematic viscosity $$\left( \upsilon \right)$$ is :
GATE ME 2001
6
If $$'P'$$ is the gauge pressure within a spherical droplet, then gauge pressure within a bubble of the same fluid and of same size will be:
GATE ME 1999
7
Kinematic viscosity of air at $${20^0}C$$ is given to be $$1.6 \times {10^{ - 5}}\,\,\,{m^2}s.$$ Its kinematic viscosity at $${70^0}C$$ will be varying approximately :
GATE ME 1999
8
The dimension of surface tension is :
GATE ME 1997
9
A fluid is one which can be defined as a substance that:
GATE ME 1996
10
The dimension of surface tension is :
GATE ME 1996
11
A fluid is said to be Newtonian fluid when the shear stress is
GATE ME 1995
Marks 2
1
A liquid fills a horizontal capillary tube whose one end is dipped in a large pool of the liquid. Experiments show that the distance $L$ travelled by the liquid meniscus inside the capillary in time $t$ is given by
$L = k \gamma^a R^b \mu^c \sqrt{t},$
where $ \gamma $ is the surface tension, $ R $ is the inner radius of the capillary, and $ \mu $ is the dynamic viscosity of the liquid. If $ k $ is a dimensionless constant, then the exponent $ a $ is _______ (rounded off to 1 decimal place).
GATE ME 2024
2
Consider fluid flow between two infinite horizontal plates which are parallel (the gap between them being $$50$$ $$mm$$). The top plate is sliding parallel to the stationary bottom plate at a speed of $$3$$ $$m/s.$$ The flow between the plates is solely due to the motion of the top plate. The force per unit area (magnitude) required to maintain the bottom plate stationary is _______________ $$N/{m^2}.$$
Viscosity of the fluid $$\mu = 0.44\,\,kg/m$$-$$s$$ and density $$\rho = 888$$ $$kg/{m^3}.$$
GATE ME 2016 Set 2
3
Which of the following statement are TRUE, when the cavitation parameter $$\sigma = 0?$$
(i) The local pressure is reduced to vapor pressure.
(ii) Cavitation starts
(iii) Boiling of liquid starts
(iv) Cavitations stops
(i) The local pressure is reduced to vapor pressure.
(ii) Cavitation starts
(iii) Boiling of liquid starts
(iv) Cavitations stops
GATE ME 2015 Set 3
4
In a simple concentric shaft-bearing arrangement, the lubricant flows in the $$2$$ $$mm$$ gap between the shaft and the bearing. The flow may be assumed to be a plane Couette flow with zero pressure gradient. The diameter of the shaft is $$100$$ $$mm$$ and its tangential speed is $$10$$ $$m/s.$$ The dynamic viscosity of the lubricant is $$0.1$$ $$kg/m.s.$$ The frictional resisting force (in newton) per $$100$$ $$mm$$ length of the bearing is ______________.
GATE ME 2014 Set 1
5
A lightly loaded full journal bearing has a journal of $$50mm,$$ bush bore of $$50.50mm$$ and bush length of $$20mm.$$ if rotational speed of journal is $$1200rpm$$ and average viscosity of liquid lubricant is $$0.03$$ $$Pa$$- $$sec,$$ the power loss (in Watt) will be :
GATE ME 2010
6
A cubic block of side $$'L'$$ and mass $$'M'$$ is dragged over an oil film across table by a string connects to a hanging block of mass $$'m'$$ as shown is fig. The Newtonian oil film of thickness $$'h'$$ has dynamic viscosity $$'\mu '$$ and the flow condition is laminar. The acceleration due to gravity is $$'g'.$$ The steady state velocity $$'v'$$ of block is :
GATE ME 2008
7
A journal bearing has a shaft diameter of $$40$$ $$mm$$ and a length of $$40mm.$$ The shaft is rotating at $$20$$ $$rad/s$$ and the viscosity of the lubricant is $$20$$ $$mPa$$-$$s$$. The clearance is $$0.020$$ $$mm.$$ The loss of torque due to the viscosity of the lubricant is approximately:
GATE ME 2008
8
Newton's law of viscosity states that the shear stress in a fluid is proportional to :
GATE ME 2007
9
Oil in a hydraulic cylinder is compressed from an initial volume $$2{m^3}$$ to $$1.96{m^3}$$. If the pressure of oil in the cylinder changes from $$40$$ $$MPa$$ to $$80$$ $$MPa$$ during compression, the bulk modulus of elasticity of oil is .........
GATE ME 2007