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Assessment of Engine Breathing Capacity P M V Subbarao Professor Mechanical Engineering Department Measure of Filling & Emptying Effectiveness….
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Stream Tube formed by Flow Through Valves Equivalent Converging-Diverging Nozzle Configurations: Mild Separation. Severe Separation
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Capacity of A Valve Passage Mass flow rate through any cross section of area A
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Invariant non-Uniform Area Flow Paths
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Conservation of mass Conservation of Momentum Conservation of Energy Isentropic Flow Through Variable Area
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Bell The Cat : A Story for Kids
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Engineering Understanding of Accoustics The fact that the engineer knows about the chocking is great but it is not enough for today's sophisticated industry. A cat is pursuing a mouse and the mouse escape and hide in the hole. Suddenly, the mouse hear a barking dog and a cat yelling. The mouse go out to investigate, and cat is catching the mouse. The mouse ask the cat I thought I hear a dog. The cat reply, yes you right. My teacher was right, one language is not enough today.
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Speed of Travel of A Disturbance The people had recognized for several hundred years that sound is a variation of pressure. The ears sense the variations by frequency and magnitude which are transferred to the brain which translates to voice. Thus, it raises the question: what is the speed of the small disturbance travel in a quiet medium. This velocity is referred to as the speed of sound. Let us generate and analyze a disturbance.
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Valve Opening : A Disturbance for Cylinder Expansion Stroke Exhaust Stroke
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c High pressure and High temperature fluid in a closed Cylinder closed. Role of Sonic Velocity in Engineering Stagnation Conditions. p manifold
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w c+u c-u u Role of Sonic Velocity in Engineering c Velocity of sound at any give flow velocity u. p manifold
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Role of Sonic Velocity in Engineering Velocity of sound when flow velocity w=c. w c+c c-c u=c c p manifold
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Exhaust Gas Flow Through VALVES
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Choking of Nozzle Extent of Valve Opening
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Mach Number Mach number of a flight For an ideal and calorically perfect gas:
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Actual Geometry of Valve Stream Tube Minimum Area
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Specific Mass flow Rate through Valve Passage Mass flow rate per unit area of cross section:
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Conditions for Choked Flow
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Isentropic Compressible Flow Through Inlet Valve When the flow is chocked: A R Instantaneous Reference inlet valve flow area Resource : The total pressure in the inlet manifold – Cylinder pressure
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Isentropic Compressible Flow Through Exhaust Valve When the flow is chocked: A R Instantaneous Reference exhaust valve flow area Resource : The total pressure in the cylinder – Static Pressure in Exhaust manifold
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Early Choking of Valve Passage Extent of Valve Opening
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Frictional Subsonic Flow Sonic Efects Effect of Sonic Conditions and Irreversibilities Isentropic Subsonic Flow Mass of Fresh air :Intake Process
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Typical Intake Poppet Valve Geometry
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Typical Exhaust Poppet Valve Geometry
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Effect of Frictional Losses: Intake System
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Effect of Frictional Losses: Exhaust System
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Frictional Compressible Flow Through Inlet Valve The real gas flow effects are included by means of an experimentally determined discharge coefficient C D. The air flow rate is related to the upstream stagnation pressure p 0 and stagnation temperature T 0, Static pressure just down stream of the valve and a reference area A R. A R is a characteristic of the valve design. When the flow is chocked:
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Discharge Coefficient: The value of C D and the choice of reference area A R are linked together. The product C D. A R is the effective flow area of the valve assembly, A E. In general valve head area or port area or curtain area are used as reference areas.
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Friction & Turbulent Gas Flow through INLET VALVES a b c
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EXHAUST VALVES
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