1

GATE ME 2024

Numerical

+2

-1.33

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).

Your input ____

2

GATE ME 2016 Set 2

Numerical

+2

-0

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 $$\rho = 888$$ $$kg/{m^3}.$$

Your input ____

3

GATE ME 2015 Set 3

MCQ (Single Correct Answer)

+2

-0.6

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

4

GATE ME 2014 Set 1

Numerical

+2

-0

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 ______________.

Your input ____

Questions Asked from Fluid Properties (Marks 2)

Number in Brackets after Paper Indicates No. of Questions

GATE ME Subjects

Engineering Mechanics

Strength of Materials

Theory of Machines

Engineering Mathematics

Machine Design

Fluid Mechanics

Turbo Machinery

Heat Transfer

Thermodynamics

Production Engineering

Industrial Engineering

General Aptitude