2025
GATE ME 20252024
GATE ME 20242023
GATE ME 20232022
GATE ME 2022 Set 2GATE ME 2022 Set 12020
GATE ME 2020 Set 2GATE ME 2020 Set 12019
GATE ME 2019 Set 1GATE ME 2019 Set 22018
GATE ME 2018 Set 2GATE ME 2018 Set 12017
GATE ME 2017 Set 2GATE ME 2017 Set 12016
GATE ME 2016 Set 3GATE ME 2016 Set 2GATE ME 2016 Set 12015
GATE ME 2015 Set 2GATE ME 2015 Set 3GATE ME 2015 Set 12014
GATE ME 2014 Set 4GATE ME 2014 Set 3GATE ME 2014 SetGATE ME 2014 Set 2GATE ME 2014GATE ME 2014 Set 12013
GATE ME 20132012
GATE ME 20122011
GATE ME 20112010
GATE ME 20102009
GATE ME 20092008
GATE ME 20082007
GATE ME 20072006
GATE ME 20062005
GATE ME 20052004
GATE ME 20042003
GATE ME 20032002
GATE ME 20022001
GATE ME 20012000
GATE ME 20001999
GATE ME 19991998
GATE ME 19981997
GATE ME 19971996
GATE ME 19961995
GATE ME 19951994
GATE ME 19941993
GATE ME 19931992
GATE ME 19921991
GATE ME 19911990
GATE ME 19901989
GATE ME 19891988
GATE ME 19881987
GATE ME 1987GATE ME 1988
Paper was held on Thu, Jan 1, 1970 12:00 AM
1
The parameters which determines the friction factor for turbulent flow in a rough pipe are:
2
A $$0.20$$ $$m$$ diameter pipe $$20$$ $$km$$ long transport oil at a flow rate of $$0.01{m^3}/s.$$ Calculate the power required to maintain the flow if the dynamic viscosity and density of oil are $$0.08$$ $$Pa$$-$$sec$$ and $$900\,kg/{m^3}.$$
3
The discharge in $${m^3}/s$$ for laminar flow through a pipe of diameter $$0.04$$ $$m$$ having a centre line velocity of $$1.5$$ $$m/s$$ is:
4
Water flows through a pipe of diameter $$0.30$$ $$m.$$ What would be the velocity $$V$$ for the conditions shown in the figure below?

5
A circular plate $$1$$ $$m$$ in diameter is submerged vertically in water such that its upper edge is $$8m$$ below the free surface of water. The total hydrostatic pressure force on one side of plate is :
6
A Newtonian fluid has the following velocity field :
$$$\overrightarrow V = {x^2}y\widehat i + 2x{y^2}z\widehat j - y{z^3}\widehat k$$$
The rate of shear deformation $${\varepsilon _{yz}}$$ at the point $$x=-2, y=-1$$ and $$z=2$$ for the given flow is :
7
Steam is flowing through an insulated steel pipe shown in the fig, is losing heat to the surroundings. The details are as follows
Inner radius of steel pipe $$=50mm,$$
Outer radius of the steel pipe $$=57mm,$$
Outer radius of insulation $$=157 mm,$$
Thermal conductivity of steel $$=43$$ $$W/mK$$
Thermal conductivity of insulating material $$=0.1$$ $$W/mK$$
Heat transfer coefficient on steam side $$ = 570W/{m^2}K$$
Heat transfer coefficient on air side $$ = 12W/{m^2}K,$$
Temperature of steam $$ = {500^ \circ }C$$
Temperature of surroundings $$ = {30^ \circ }C$$

Calculate the heat loss per meter length of pipe and temp of the outer surface of the insulation.
8
A shell and tube heat exchanger is to be designed for heating pressurized water by means of hot gasses which get cooled the data are as follows
Temp of water at the inlet $$ = \,80{}^ \circ C$$
Temp of the water at the outlet $$ = \,140{}^ \circ C$$
Temp of hot gasses at the inlet $$ = \,340{}^ \circ C$$
Temp of hot gasses at the outlet $$ = \,180{}^ \circ C$$
Mass flow rate of water $$=12$$ $$kg/s,$$ Specific heat of water $$=4.2kJ/kgK$$
$$OHTC=30$$ $$W/{m^2}K$$,
Correction factor for $$LMTD$$ based on counter flow conditions $$=0.9$$
Calculate the tube surface area required in the heat exchanger and the effectiveness of the heat exchanger.
Temp of water at the inlet $$ = \,80{}^ \circ C$$
Temp of the water at the outlet $$ = \,140{}^ \circ C$$
Temp of hot gasses at the inlet $$ = \,340{}^ \circ C$$
Temp of hot gasses at the outlet $$ = \,180{}^ \circ C$$
Mass flow rate of water $$=12$$ $$kg/s,$$ Specific heat of water $$=4.2kJ/kgK$$
$$OHTC=30$$ $$W/{m^2}K$$,
Correction factor for $$LMTD$$ based on counter flow conditions $$=0.9$$
Calculate the tube surface area required in the heat exchanger and the effectiveness of the heat exchanger.
9
For a glass plate transitivity and reflectivity are specified as $$0.86$$ and $$0.08$$ respectively, the absorptivity of the glass plate is
10
For the fluid flowing over a flat plate with Prandtle number greater than unity, the thermal boundary layer for laminar forced convection
11
If the load on a ball bearing is reduced to half, the life of the ball bearing will
12
For full depth of involute spur gears, minimum number of teeth of pinion to avoid interference depends upon
13
In the design of shafts made of ductile materials subjected to twisting moment and bending moment, the recommended theory of failure is
14
In an engineering drawing one finds the designation of $$20G7F8.$$ The position of tolerance of the hole is indicated by
15
Cutting speed in grinding is set to a high value to
16
The standard specification of a grinding wheel is $$A-46-M-6-V-21.$$ It means a wheel of
17
In twist drills ......... (small/large) point angle and ........ (small/large) helix angle are provided for drilling soft, low strength steel.
18
Pure metal pose machinability problem in turning operations. The reason is the
19
The ideal cutting fluid for low speed machining of metals should be one which
20
The contraction allowance provided on the pattern and core boxes compensates for the following type of contraction.
21
A tapered cantilever beam of constant thickness is loaded as shown in the sketch below. The bending stress will be:

22
If the length of a column is doubled, the critical load becomes: