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MT 313 IC ENGINES. LECTURE NO: 04 (24 Feb, 2014) Khurram engr014@yahoo.com Yahoo Group Address: ICE14. Air Standard Cycle. The air as the working fluid follows the perfect gas law The working fluid is homogeneous throughout and no chemical reaction takes place
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MT 313 IC ENGINES LECTURE NO: 04 (24 Feb, 2014) Khurram engr014@yahoo.com Yahoo Group Address: ICE14
Air Standard Cycle • The air as the working fluid follows the perfect gas law • The working fluid is homogeneous throughout and no chemical reaction takes place • Specific heats of air do not vary with temperature • The mass of air in the cycle remains fixed • The exhaust process is replaced by an equivalent heat rejection process • The combustion process is replaced by an equivalent heat addition process • All processes are internally reversible
Air Standard Cycle • Thermal efficiency • Thermal efficiency is also called air standard efficiency ηa
Important Formulas • Swept Volume • Clearance Volume • Compression Ratio • Clearance ratio
OTTO CYCLE • Process No 1-2 – Isentropic Expansion p– V diagram 1 pVγ = c P1 2 P2 V1 V2
OTTO CYCLE • Process No 1-2 – Reversible Adiabatic or Isentropic Expansion T – S diagram No Heat is added or rejected Q 1-2 = 0 1 T1 T2 2 S1, S2
OTTO CYCLE • Process No 2-3 – Constant volume cooling process p– V diagram Heat is rejected by air getting cooled from T2to T3 2 P2 P3 3 V2
OTTO CYCLE • Process No 2-3 – Constant volume cooling process T – S diagram Heat is rejected by air getting cooled from T2 to T3 T2 2 T3 S3 , S4 S1, S2
OTTO CYCLE • Process No 3-4 – Isentropic Compression p– V diagram No heat is added or rejected 4 pVγ = c P4 P3 3 V4 V3
OTTO CYCLE • Process No 3-4 – Reversible Adiabatic or Isentropic Expansion T – S diagram No Heat is added or rejected Q3-4 = 0 T4 4 T3 3 S3 , S4
OTTO CYCLE • Process No 4-1 – Constant volume heating process p– V diagram Heat is absorbed by air getting heated from T4to T1 1 P1 P4 4 V2
OTTO CYCLE • Process No 4-1 – Constant volume heating process T – S diagram Heat is absorbed by air getting heated from T4 to T1 1 T1 T4 4 S3 , S4 S1, S2
OTTO Cycle • Process 1-2 No heat is added or rejected • Process 2-3 Heat is rejected by air getting cooled from temperature T2to T3 • Process 3-4No heat is added or rejected • Process 4-1 Heat is absorbed by air getting heated from temperature T4to T1
OTTO Cycle • Work Done = Heat absorbed – Heat rejected • Work Done = • Work Done = -
OTTO Cycle • For reversible adiabatic expansion process 1-2 • where expansion ratio =
OTTO Cycle • For reversible adiabatic expansion process 3-4 • where expansion ratio =
OTTO CYCLE • Process No 1-2 – Isentropic Expansion p– V diagram 1 pVγ = c P1 2 P2 V1 V2
Problem 1 • Calculate the air standard efficiency of a four stock Otto cycle engine with the following data Piston diameter (bore) = 13.7 cm Length of stock = 13.0 cm Clearance volume = 14.6 % • Diagram
Solution • Swept Volume • = 1916 cm • Clearance Volume • = 297.7 cm3
Solution • Compression ratio • = 7.85 • Air Standard efficiency • = 56.2%
Problem 2 • In an Otto cycle the compression ratio is 6 . The initial pressure and temperature of the air are 1 bar and 100˚C. the maximum pressure in the cycle is 35 bar. Calculate the parameter at the salient points of the cycle. What is the ratio of heat supplied to heat rejected • How does air standard efficiency of the cycle compares with that of a Carnot cycle working within the same extreme temperature limits? Explain the difference between the two values
Problem 2 • If the engine has a relative efficiency of 50 % determine the fuel consumption per kWh. Assume the fuel used has a calorific value of 42,000 kJ/kg
Problem 3 • An Otto cycle working on air has a compression ratio of 6 and starting condition are 40˚C and 1 bar. The peak pressure is 50 bar. Draw the cycle on p-v and T-S coordinates if compression and expansion follow the law pV1.25 = C. Calculate mean effective pressure and heat added per kg of air.
Problem 4 • An Otto cycle has compression ratio of 8 and initial conditions are 1 bar and 15˚C. Heat added during constant volume process is 1045 kJ/kg. Find : • Maximum cycle temperature • Air standard efficiency • Work done per kg of air • Heat rejected • Take cv = 0.7175 kJ/kg-K and γ = 1.4
Problem 5 • Find out the compression ratio in an Otto for maximum work output • An Otto cycle engine has the following data. Calculate compression ratio, air standard efficiency and specific fuel consumption. Piston diameter = 13.7 Length of stock = 13 cm Clearance volume = 280 cm3 Relative efficiency = 60 % Lower calorific volume of petrol = 41900kJ/kg