Control of Entropy Generation due to Shock

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Presentation transcript:

Control of Entropy Generation due to Shock P M V Subbarao Professor Mechanical Engineering Department Tame the Normal Shock to Reduce Irreversibility !!!

Measure of Loss due to Shock Before the shock: After the shock: Across the shock:

Mach Number Vs Total Pressure : Normal Shock

Mach Number Vs Entropy Generation : Normal Shock

Inlets for Supersonic Vehicles

Oblique Shock Wave • When generating object is smaller than a “bluff body”, shockwave can be weaker than NS but stronger than the Mach wave. This is called as Oblique shock wave • q -- turning angle or “wedge angle” b -- shock angle

Flow Through A Supersonic Ramjet (Missile) What about another Thought Experiment ???

Geometrical Description of An Oblique Shock Wave wx b ux b-q wx u y b-q q

Oblique Shock Wave as a Control Volume Tangential Normal Ahead wx, Mtx ux, Mnx Of Shock Behind wy, Mty uy, Mny Shock x y uy & Mny wx & Mtx ux & Mnx wy & Mty Vy & My Vx & Mx • Shock is A CV & Must satisfy i) continuity ii) momentum iii) energy

Continuity Equation for Oblique Shock Wave wx ux Vx wy uy Vy x y • For Steady Flow thru an Oblique Shock

Momentum Equation for Oblique Shock Wave wx ux Vx wy uy Vy x y Momentum Equation for Oblique Shock Wave • For Steady Flow w/o Body Forces ( ) - r x u w A + y = • Tangential Component