GATE ME 1991
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GATE ME

1
A one shell pass, one tube-pass heat exchanger, has counter flow configuration between the shell side and tube side fluids. The total number of tubes within the heat exchanger is $$10$$ and the tube dimensions are $$ID=10$$ $$mm,$$ $$OD=12$$ $$mm$$ and length $$=1m.$$ saturated dry steam enters the shell side at a flow rate of $$2$$ $$kg/s$$ and the temp of $${100^ \circ }C.$$ In the tube side, cold water enters at a flow rate of $$10$$ $$kg/s$$ with an inlet temp of $${25^ \circ }C.$$ The $$OHTC$$ based on the outer surface area of the tubes is $$50$$ $$W/{m^2}K.$$ The specific heat of water is $$4.18$$ $$kJ/kg$$-$$K$$ and the latent heat of steam is $$2500$$ $$kJ/kg.$$ What is the condition of the steam at the exit.
2
In shell and tube heat exchanger, baffles are mainly used to
3
An object has the shape of cubical box of side $$10cm,$$ with no top cover. The box is placed inside a room whose dimensions are much larger than those of the box. All the five surfaces of box are at a temp of $${500^ \circ }C$$ and have an emissivity of $$0.6.$$ The walls of the room are at $${25^ \circ }C$$ and have an emissivity of $$0.4.$$ All these surfaces can be assumed to be diffuse-gray. Find the net radiative heat loss from the inner surface of the box to the walls of the room.
Stephen Boltzmann constant $$5.67 \times {10^{ - 8}}\,\,W/{m^2}{K^4}$$. View factor between two parallel square plates placed directly opposite to each other is $$0.2$$
4
A diffuse radiation surface has
5
Biot number signifies
6
Match the property with their units

Property
$$A.$$ Bulk modulus
$$B.$$ Thermal conductivity
$$C.$$ Heat transfer coefficient
$$D.$$ Heart flow rate

Units
$$1.$$ $$W/s$$
$$2.$$ $$N/{m^2}$$
$$3.$$ $$N/{m^3}$$
$$4.$$ $$W$$
$$5.$$ $$W/mK$$
$$6.$$ $$W/{m^2}K$$

7
When the annual demand of a product is $$24000$$ units, the $$EOQ$$ (Economic Order Quantity) is $$2000$$ units. If the annual demand is $$48000$$ units the most appropriate $$EOQ$$ will be
8
Strength to weight ratio for a circuit shaft transmitting power is directly proportional to the
9
Match the roling element bearings with the most appropriate loading condition

Bearing - type
(a)$$\,\,\,\,\,\,$$ Ball bearing
(b)$$\,\,\,\,\,\,$$ Roller bearing
(c)$$\,\,\,\,\,\,$$ Needle bearing
(d)$$\,\,\,\,\,\,$$ Taper roller bearing

Loading condition
(p)$$\,\,\,\,\,\,$$ Tangential load
(q)$$\,\,\,\,\,\,$$ Radial load
(r)$$\,\,\,\,\,\,$$ Heavy radial load with impact
(s)$$\,\,\,\,\,\,$$ Light radial load with space limitation
(t)$$\,\,\,\,\,\,$$ Heavy radial and axial load
(u)$$\,\,\,\,\,\,$$ Fatigue load

10
For a pinion of $$15$$ teeth, under cutting ____________( increases / decreases) with _______________(increases / decreases ) of pressure angle.
11
In a shaft with a transverse hole, as the hole to the shaft diameter ratio ___________ (increases / decreases), the torsional stress concentration factor__________ (increases/decreases)
12
Converging passage is used for feeding the liquid molten metal into the mould to
13
Numerically controlled machine tools are better suited for .................. (batch/mass) production, because their setup time is ......... (larger / smaller) in comparison to special purpose machine tools.
14
A bush was turned after mounting the same on a mandrel. The mandrel diameter in millimeters is $${40^{\matrix{ { + 0.00} \cr { - 0.05} \cr } }}$$ and bore diameter of bush is $${40^{\matrix{ { + 0.06} \cr { - 0.00} \cr } }}$$.

The maximum eccentricity of the bush, in $$mm$$ will be

15
Wrinkling is a common defect found in
16
For cutting double start screw threads of pitch $$1.0$$ $$mm$$ on a lathe, the thread cutting tool should have a feed rate of
17
A milling cutter having $$10$$ teeth is rotating at $$100$$$$rpm$$. The table feed is set at $$50mm$$ per minute. The feed per tooth in $$mm$$ is
18
Match the products and their manufacturing process GATE ME 1991 Production Engineering - Machining Question 18 English
19
Calculate the $$MRR$$ and Specific cutting pressure for the following cutting conditions
Work material : steel,
Tool material : $$HSS,$$
Depth of cut : $$1.6mm,$$
Feed : $$0.8mm/rev$$
Cutting speed $$=5.5m/min$$ and power consumed $$=0.67$$ $$kW$$
20
Determine the Merchants constant $$'C'$$ (shear angle relation) for aluminium from the following orthogonal machining data. Rake angle $${35^ \circ }$$ and an uncut chip thickness $$0.15mm,$$ the values of $${F_c}$$ and $${F_t}$$ are found to be $$200$$ and $$90$$ $$N$$ respectively. The average chip thickness is also measured and found to be $$0.3$$ $$mm,$$ width of cut $$2.5mm$$ and cutting velocity $$30m/min.$$
21
Find the percentage change in cutting speed required to give a $$50\% $$ reduction in tool life (that is required tool life is half of the original tool life ) when the value of the tool life exponent $$n=0.125$$ or $$1/8$$.
22
Most of the metal cutting heat goes into the
23
GATE ME 1991 Production Engineering - Welding Process Question 36 English
24
For gas welding a particular job using a neutral oxy-acetylene flame the acetylene consumption was $$10$$ ltrs. The oxygen consumption from the cylinder in liters will be
25
A strip of thickness $$T$$ $$mm$$ is rolled in a $$2$$ high single pass rolling mill, having roll diameter $$D$$ $$mm,$$ to a final thickness of $$\left( {T - 2\Delta T} \right)mm.$$ If the friction coefficient between the roll and strip is $$\mu ,$$ calculate the maximum reduction $$2\Delta T$$ possible in this operation. Using this relation, for $$D=300mm,$$ $$T=40mm$$ and friction coefficient is $$0.3,$$ calculate the outgoing thickness of the strip. If the inlet velocity is $$5m/s,$$ what is the outgoing strip velocity?.
26
A falk consisting of a cope and drag has the following dimensions: length $$300mm,$$ width $$200mm,$$ and total septh $$200mm$$ (cope height $$50mm$$).
A $$150mm\,\, \times \,100mm\,\, \times 50mm$$ cast iron block is to be cast. If the specific weight of cast iron is $$78\,\,kN/{m^3}$$ and that of the mold sand $$16\,\,kN/{m^3}$$, find lifting force on the cope created by buoyant force, weight of sand in the cope, the net force at the liquid-sand interface and additional weight to be kept on the cope.
27
When there is no room temp change, the total shrinkage allowance on a pattern is INDEPENDENT OF
28
In a single heater regenerative cycle, steam enters the turbine at $$30$$ bar, $${300^0}C$$ and condenser pressure is $$0.096$$ bar. The feed water heater is a direct contact type which operates at $$5$$ bar. Draw flow and $$h$$-$$s$$ diagrams considering the condition of steam at entry to the heater in mixture region. Calculate steam extracted from heater to turbine in $$kg$$ per $$kg$$ of steam flow the cycle and cycle efficiency. The enthalpies of steam at different locations of the cycle are given in a table below. Pump work may neglected. GATE ME 1991 Thermodynamics - Rankine Cycle Question 12 English
29
Velocity compounded steam turbine known as ___________ (Curtis / Rateau ) turbine uses the principle of converting entire __________ (pressure / velocity) energy before entering the first stage runner itself.
30
In a Rankine cycle heat is added
31
A $$7MW$$ hydro turbine working under a head of $$10$$ $$m$$ at a rotational speed of $$125$$ $$rpm$$ is to be designed and developed by conducting model tests in a laboratory. Maximum possible discharge to the model is $$600$$ liters per second at a constant head of $$5m.$$ Determine the minimum scale of the model and its speed if the expected efficiency of the model is $$85\% .$$
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