GATE 2017-2018 :: GATE Agricultural
- The overall heat transfer coefficient based on the outside surface area of a tubular heat exchanger decreased due to fouling during operation from 1000 W m-2 K-1 to 800 m-2 K-1. The fouling film coefficient of the heat exchanger in m-2 K-1 is _______________
- A high pressure dairy homogenizer operates under upstream and downstream pressures of 200 and 40 bar respectively homogenizing 30 L of whole milk per hour. Density and specific heat capacity of whole milk are 1030 kg m-3 and 3.8 kJ kg-1 K-1, respectively. Assuming complete energy conservation, the temperature rise of whole milk in degree Celsius is _______________
- A fish fillet of 5 mm thickness having 85% moisture (wet basis) is to be frozen using a plate freezer. The plates are at -350C and the heat transfer coefficient between the fillet and the freezer plates can be assumed to be 2.0 W m-2 K-1. The initial freezing temperature of fish is -2.50C, latent heat of fusion is 330 kJ kg-1, density of fish is 1100 kg m-3 and thermal conductivity of frozen fish is 1.5 W mm-1 K-1. The time required to freeze the fillet from the initial freezing temperature in hour(s) is __________
- Box 1 contains 15 balls out of which 3 are red. Box 2 contains 12 balls out of which 4 are red. If one ball is drawn at random from each box simultaneously, the probability of getting at least one red ball is
- A hemispherical vessel of 300 mm diameter is completely filled with oil and water. If the oil layer is 50 mm deep on the top, the volume of water in the vessel in litres is
- A tractor mounted off-set type reciprocating mower is driven by the PTO shaft. The maximum inertia force of 3.2 kN occurs along the pitman at 320 crank angle and 270 pitman angle with the horizontal plane. The knives of the cutterbar are riveted to the slider. If each of the allowable tensile and compressive stresses of the slider material is 50 MPa, the minimum cross-sectional area of the slider in mm2 is
- The flywheel of a hand operated chaff cutter with two cutting knives is rotated at 30 rpm and is connected to a worm gear assembly for driving the feed rollers. The number of teeth of the worm gear is 24 and number of starts (threads) of the worm is 2. If diameter of each of the feed rollers is 15 cm, the chaff length in mm will be
- A piston pump is driven by a 5 m diameter horizontal axis wind turbine for supplying water from a borehole with a total pump head of 10 m. The mean velocity of air is 18 km h-1 and the density of air is 1.29 kg m-3. The actual power coefficient of the wind turbine is 0.30 and the overall pump efficiency is 60%. Neglecting the transmission losses, the expected pump discharge in L s-1 will be
- A 4-cylinder, 4-stroke compression ignition engine has piston stroke of 10.5 cm and cylinder bore of 11 cm. At a mean piston speed of 7 m s-1, the developed brake mean effective pressure is 650 kPa. The brake power in kW developed by the engine is
- A centrifugal pump having an overall efficiency of 75% requires 6 kW power at 1450 rpm to deliver water against a suction head of 5 m and a delivery head of 12 m. If the pump runs at 1650 rpm and frictional head losses are negligible, the total head developed by the pump in metres will be
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