concenpts : Compressibility – Thermodynamic concepts – Conservation equations – Communicatio in gases – Stagnation state – One Dimensional Flow : Pressure waves in gases – Communication in gases – Stagnation state – Differential equations for 1D flow – Isentropic Flow with aera variations – Numerical examples – Normal Shocks : Normal Shock Concept – Normal Shock relations – Moving normal shocks – Numerical Examples (stationary &moving) – Oblique shocks : Concept and theory – Oblique Shock relations – Property variations – Other shocks : Detached Shocks – Shock Reflections – Numerical Examples – Shock-Shock Interactions – Expansions : 1-D Expansion wave – Expansion Fan – Prandtl Meyer Function – Smooth expansions/compressions – Numerical Examples

Shock Expansion Theory : Theory, Examples and its applications – Nozzle flow : Quasi-1D flow with area variations – Geometric Choking – Numerical Examples – Divergent Nozzles – Convergent-Divergent Nozzles – Numerical Examples – Multiple Choking points – Supersonic Jet : Jet structure – Numerical Examples and Supersonic Shear layers – Non-isentropic flows : Crocco’s Theorem – Fanno Flow – Numerical Examples – Rayleigh Flow – Numerical Examples – Various Choking mechanisms, – Ramjets and scramjets – Experimental setups – Shock Tubes – Compressibe flow facilities – Measurement Technique – Experiment Design – Flow visualisation – Schlieren, Shadowgraph, Interferometry – 2D Method of Charachteristics : Characteristics concept – Characteristic directions; and constitutive relations – Subroutines,Marching techniques – Example simulations – Unsteady flow phenomena

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Course Curriculum

This course is part of NPTEL online courses, delivered by IIT Madras.

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