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Computer Science Question 1 : Heat Exchanger Design Part A: Calculate the heat transfer rate required for a heat exchanger to cool 1 5 0

Computer Science
Question 1: Heat Exchanger Design
Part A: Calculate the heat transfer rate required for a heat exchanger to cool 1500 kg/hr of water from 85C to 30C. Assume the specific heat capacity of water is 4.18 kJ/kgC.
Part B: Determine the logarithmic mean temperature difference (LMTD) for a counterflow heat exchanger if the hot fluid enters at 150C and leaves at 90C while the cold fluid enters at 30C and leaves at 85C.
Part C: Calculate the overall heat transfer coefficient if the heat exchanger has an area of 25 m.
Part D: Using the effectiveness-NTU method, find the number of transfer units (NTU) for the heat exchanger.
Part E: Determine the heat exchanger effectiveness.
Question 2: Gear Train Analysis
Part A: Design a gear train to achieve a speed reduction of 16:1 using three gears. Specify the number of teeth on each gear.
Part B: Calculate the torque on the output shaft if the input shaft has a torque of 10 Nm.
Part C: Determine the efficiency of the gear train if the power loss is 5%.
Part D: Calculate the stress on the gear teeth if the modulus of elasticity is 210 GPa and the gear tooth form factor is 0.3.
Part E: Find the bending stress if the face width of the gears is 20 mm.
Question 3: Thermodynamic Cycle
Part A: Sketch a T-S diagram for an ideal Rankine cycle.
Part B: Calculate the thermal efficiency of the cycle if the steam enters the turbine at 3 MPa and 350C and is condensed at 10 kPa.
Part C: Determine the work done by the turbine per kg of steam.
Part D: Calculate the work required by the pump per kg of water.
Part E: Find the heat added in the boiler per kg of steam.
Question 4: Fluid Flow in Pipes
Part A: Calculate the Reynolds number for water flowing in a pipe with a diameter of 50 mm at a velocity of 2 m/s. Assume the kinematic viscosity of water is 1 x 10 m/s.
Part B: Determine the friction factor using the Moody chart if the pipe is smooth.
Part C: Calculate the head loss due to friction for a 100 m long pipe.
Part D: Find the power required to pump the water through the pipe.
Part E: Determine the pressure drop across the pipe.
Question 5: Composite Beam Analysis
Part A: Design a composite beam made of steel and aluminum layers with a total depth of 200 mm. The steel layer is 100 mm and the aluminum layer is 100 mm.
Part B: Calculate the neutral axis position of the composite beam.
Part C: Determine the moment of inertia of the composite section.
Part D: Calculate the maximum stress in both steel and aluminum layers if a moment of 5000 Nm is applied.
Part E: Find the deflection of the beam over a span of 4 m.
Question 6: Dynamic Analysis of a Rotating Shaft
Part A: Calculate the critical speed of a rotating shaft of length 2 m with a diameter of 50 mm. Assume the modulus of elasticity is 200 GPa.
Part B: Determine the natural frequency of the shaft if it is simply supported at both ends.
Part C: Find the deflection at the center of the shaft due to a load of 100 N applied at the midpoint.
Part D: Calculate the torsional stiffness of the shaft.
Part E: Determine the maximum shear stress in the shaft if it is subjected to a torque of 150 Nm.
Question 7: Combustion Analysis
Part A: Calculate the stoichiometric air-fuel ratio for the complete combustion of octane (C8H18).
Part B: Determine the amount of air required for the complete combustion of 1 kg of octane.
Part C: Find the lower heating value (LHV) of octane if the higher heating value (HHV) is 44.4 MJ/kg and the latent heat of vaporization of water is 2.45 MJ/kg.
Part D: Calculate the flame temperature if the combustion takes place adiabatically and all the heat is used to raise the temperature of the products.
Part E: Determine the volume of exhaust gases produced at standard conditions.
Question 8: Stress and Strain in a Cylinder
Part A: Calculate the hoop stress in a thin-walled cylinder with an internal pressure of 2 MPa, an internal radius of 0.5 m, and a wall thickness of 10 mm.
Part B: Determine the longitudinal stress in the cylinder.
Part C: Find the maximum shear stress in the cylinder.
Part D: Calculate the volumetric strain if the material's modulus of elasticity is 200 GPa and Poisson's ratio is 0.3.
Part E: Determine the change in diameter of the cylinder due to internal pressure.
Question 9: Heat Transfer in Fins
Part A: Calculate the heat transfer rate from a fin with a length of 100 mm, a diameter of 10 mm, and a thermal conductivity of 200 W/mK. The base temperature is 150C, and the ambient temperature is 25C. Assume convective heat transfer coefficient is 50 W/mK.
Part B: Determine the fin efficiency.
Part C: Find the fin effectiveness.
Part D: Calculate the temperature distribution along the fin length.
Part E: Determine the total heat loss from an array of 10 such fins.
Question 10: Power Transmission by Belt
Part A: Calculate the power transmitted by a belt drive if the tension in the tight side is 1000 N, the tension in the slack side is 400 N, and the belt speed is 15 m/s.
Part B: Determine the belt tension ratio.
Part C: Find the coefficient of friction between the belt and the pulley if the angle of contact is 180.
Part D: Calculate the torque on the driving pulley.
Part E: Determine the initial tension in the belt.
Question 11: Vibration Analysis of a Mass-Spring System
Part A: Calculate the natural frequency of a mass-spring system with a mass of 5 kg and a spring constant of 2000 N/m.
Part B: Determine the damping coefficient if the system has a damping ratio of 0.05.
Part C: Find the damped natural frequency of the system.
Part D: Calculate the logarithmic decrement for the system.
Part E: Determine the amplitude of vibration if the system is subjected to a harmonic force of 100 N at the resonance frequency.
Question 12: Internal Combustion Engine Performance
Part A: Calculate the indicated power of a 4-cylinder engine with a bore of 80 mm, a stroke of 100 mm, an indicated mean effective pressure of 1.2 MPa, and an engine speed of 3000 rpm.
Part B: Determine the brake power if the mechanical efficiency is 85%.
Part C: Find the brake specific fuel consumption if the fuel consumption is 0.1 kg/min and the calorific value of the fuel is 42 MJ/kg.
Part D: Calculate the thermal efficiency of the engine.
Part E: Determine the volumetric efficiency if the air intake volume is 0.85 m/min and the engine displacement volume is 1.6 liters per cycle.
Question 13: Bending of Beams
Part A: Calculate the bending moment at the midpoint of a simply supported beam with a span of 6 m and a uniformly distributed load of 2 kN/m.
Part B: Determine the maximum bending stress if the beam has a rectangular cross-section with a width of 100 mm and a height of 200 mm.
Part C: Find the shear force at a section 2 m from one end.
Part D: Calculate the deflection at the midpoint using the double integration method. Assume the modulus of elasticity is 200 GPa.
Part E: Determine the slope at the ends of the beam.
Question 14: Thermodynamic Properties of Gases
Part A: Calculate the specific volume of air at 500 K and 1 MPa using the ideal gas law. Assume R =287 J/kgK.
Part B: Determine the change in internal energy if the temperature of 1 kg of air increases from 300 K to 600 K. Assume Cv =718 J/kgK.
Part C: Find the change in enthalpy for the same temperature change. Assume Cp =1005 J/kgK.
Part D: Calculate the entropy change if the pressure remains constant during the temperature change.
Part E: Determine the final pressure if the air undergoes an isentropic expansion to double its initial volume.
Question 15: Stress Analysis in a Beam
Part A: Calculate the maximum bending moment in a cantilever beam with a length of 3 m and a point load of 500 N at the free end.
Part B: Determine the bending stress at the fixed end if the beam has an I-section with a moment of inertia of 80 x 10 mm and a depth of 300 mm.
Part C: Find the shear stress at the fixed end if the beam has a width of 100 mm
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