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