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This paper analyzes quantitatively mechanisms and its effects of reducing simultaneously NOx/fuel-consumption taking the focus on torch-jet lean combustion control modeling in a pre-chamber type stratified-charge approach with actual Honda CVCC engine test examples. For analyzing the NO x /fuel consumption reduction mechanism and effects, so-called phenomenological modeling centering around torch-flame-jet behavior are examined with varying the design factors such as auxiliary chamber volume/torch nozzle area. Then, main physical features and those characteristics of torch-flame-jet such as the combustion pressure rise histories in pre-chamber, penetration length/volume/speed of torch-jet in lean mixture of main chamber, lean mixture shear-flow entrainment and turbulence enhancing effects induced by torch-jet are computed with numerical methods and those various effects for the lean ignition/combustion are examined.