GATE ME 1988
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GATE ME

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?

GATE ME 1988 Fluid Mechanics - Fluid Dynamics Question 21 English
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 $$ = {30^ \circ }C$$

GATE ME 1988 Heat Transfer - Conduction Question 7 English

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.
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: GATE ME 1988 Strength of Materials - Pure Bending Question 9 English
22
If the length of a column is doubled, the critical load becomes:
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