id author title date pages extension mime words sentence flesch summary cache txt cana-3879 Anbuchezian Ashokan Mathematical Analysis of Thermodynamic Model to Predict the Engine Parameters 2025 16 .pdf application/pdf 4527 204 62 Where 𝑑𝑠𝑏 π‘‘πœƒ = ( 𝑐𝑝𝑏 𝑇𝑏 ) 𝑑𝑇𝑏 π‘‘πœƒ βˆ’ 𝑣𝑏 𝑇𝑏 πœ•πΌπ‘›π‘£π‘ πœ•πΌπ‘›π‘‡π‘ 𝑑𝑃 π‘‘πœƒ (68) 𝑑𝑠𝑒 π‘‘πœƒ = ( 𝑐𝑝𝑒 𝑇𝑒 ) 𝑑𝑇𝑒 π‘‘πœƒ 𝑣𝑒 𝑇𝑒 πœ•πΌπ‘›π‘£π‘’ πœ•πΌπ‘›π‘‡π‘’ 𝑑𝑃 π‘‘πœƒ (69) Expressing the heat loss of burnt and unburned gases as a function of the rate of change of specific entropy by combining (53)-(56) and (66)-(69) 𝐢𝑝𝑏 𝑑𝑇𝑏 π‘‘πœƒ βˆ’ 𝑣𝑏 πœ•πΌπ‘›π‘£π‘ πœ•πΌπ‘›π‘‡π‘ 𝑑𝑃 π‘‘πœƒ = βˆ’β„Ž βˆ‘ 𝐴𝑏𝑖(𝑇𝑏 βˆ’ 𝑇𝑀𝑖)𝑖=β„Ž,𝑝,𝐼 π‘šπœ” (70) 𝐢𝑝𝑒 𝑑𝑇𝑒 π‘‘πœƒ βˆ’ 𝑣𝑒 πœ•πΌπ‘›π‘£π‘’ πœ•πΌπ‘›π‘‡π‘’ 𝑑𝑃 π‘‘πœƒ = βˆ’β„Ž βˆ‘ 𝐴𝑒𝑖(𝑇𝑒 βˆ’ 𝑇𝑀𝑖)𝑖=β„Ž,𝑝,𝐼 π‘šπœ”(1 βˆ’ π‘₯) (71) Differentiating Equations (50) and (51) and incorporating with Equation (4), (39), (40), (43)-(46) and (52)-(64) into Equation (5), we have the following relations The first law of thermodynamics to an open system yields the energy equation as οΏ½Μ‡οΏ½ = οΏ½Μ‡οΏ½ βˆ’ π‘Š + βˆ‘π‘šπ‘˜Μ‡ π‘˜ β„Žπ‘˜ (3) Equations (2) and (3) can be written as π‘‘π‘š π‘‘πœƒ = βˆ‘ π‘‘π‘šπ‘˜ π‘‘πœƒ π‘˜ (4) 𝑑(π‘šπ‘’) π‘‘πœƒ = 𝑑𝑄 π‘‘πœƒ βˆ’ 𝑝 𝑑𝑉 π‘‘πœƒ + βˆ‘β„Žπ‘˜ π‘‘π‘šπ‘˜Μ‡ π‘‘πœƒ π‘˜ (5) Equation (5) neglects changes of kinetic and potential energy in the control volume. cache/cana-3879.pdf txt/cana-3879.txt