Compressible Flow Fundamentals: High-Speed Gas Dynamics

Name: Compressible Flow Fundamentals: High-Speed Gas Dynamics
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Master Compressible Flow Fundamentals : High-Speed Gas Dynamics & Thermodynamics - Unlock Secrets of Compressible Flows

Created byProf. Samer

Last updated 3/2023

English

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What you'll learn

Appreciate the consequences of compressibility in gas flow
Analyze one-dimensional isentropic compressible flow
Derive property relations for isentropic flow of ideal gases
Analyze compressible flows across a converging-diverging duct
Understand why a nozzle must have a diverging section to accelerate a gas to supersonic speeds
Predict the occurrence of shocks and calculate property changes across a shock wave

Course content

4 sections • 17 lectures • 5h 59m total length

Introduction12:18
Explore compressible flow concepts by linking bulk modulus to pressure and density changes, define the speed of sound, derive the Mach number, and classify subsonic, sonic, and supersonic flows.
Speed of Sound23:05
Explore the speed of sound, derive C = sqrt(B/ρ), and apply isentropic ideal gas relations to link bulk modulus, density, and temperature.
Stagnation Properties17:32
Apply the first law to a control volume to derive stagnation properties, linking h0 and t0 to h, t, and velocity under adiabatic conditions with isentropic and frictional considerations.
Mach Number Relations18:51
Relate temperature, pressure, and density to Mach number for an ideal gas, deriving isentropic relations and critical (sonic) properties, and introduce compressible flow tables for problem solving.
Example 125:30
Solve a compressible, adiabatic air flow problem to compute stagnation temperature and pressure, Mach number, and sonic condition using isentropic relations and tables.
Example 210:36
This compressible flow example computes velocity from P/P0=0.82 at T0=293 K for air and helium, using table V1 for air and isentropic relations for helium.

Isentropic Flow with Area Changes21:37
Examine how cross-sectional area changes drive isentropic flow, deriving the relationship between area, pressure, velocity, and Mach number, with subsonic and supersonic behavior and practical diffuser and nozzle insights.
Converging Diverging Duct17:44
Explains the sonic condition at the minimum area (throat) of a converging diverging duct, enabling subsonic to supersonic acceleration in a nozzle and deceleration in a diffuser.
Flow Area vs Mach Number Relation20:06
Derive the Mach number–flow area relation in compressible flow for a converging–diverging duct, using a sonic area a star and mass conservation to compare subsonic and supersonic solutions.
Choked Flow23:12
Explore choked flow in a converging duct under isentropic, adiabatic, frictionless conditions. Maximum mass flow occurs at Mach one at the throat; further back pressure reductions do not increase flow.
Example 329:04
Compute stagnation temperature T0, stagnation pressure P0, and Mach number for an isentropic converging-diverging duct, then determine the sonic area A*, mass flow rate m-dot, and choked conditions.
Example 48:26
Solve a compressible flow example: expanding air from stagnation conditions to Mach 2.5 through a converging-diverging nozzle, determine throat area, exit pressure, temperature, velocity, and exit area.

Operating a Converging-Diverging Duct22:56
Explore how a converging-diverging duct can form a normal shock inside the diverging section under varying back pressures, exit pressures, and flow regimes, revealing design pressure for optimal subsonic-to-supersonic acceleration.
Mach Number Relations Across a Normal Shock Wave45:09
Derive the upstream Mach 1 to downstream Mach 2 relation across a normal shock in a diverging duct, using conservation laws to show entropy rise and stagnation pressure drop.
Example 525:18
Solve a normal shockwave in a diverging duct, linking upstream supersonic flow to downstream subsonic flow, and compute p1, p2, p0, and sonic-area changes using isentropic and shock relations.
Example 637:59
Solve a challenging compressible flow example in a converging-diverging nozzle, analyzing isentropic regions, normal shocks, throat and exit conditions under varying back pressures.

Requirements

Fundamentals of Fluid Mechanics
Fundamentals of Engineering Thermodynamics

Description

Master Compressible Flow Fundamentals: High-Speed Gas Dynamics & Thermodynamics on Udemy - Unlock the Secrets of Compressible Flows

Welcome to our comprehensive Udemy course on compressible flow, where we venture beyond the limitations of incompressible flow principles to thoroughly explore the world of compressible flows. These flows involve significant density changes and are frequently encountered in various high-speed gas devices and applications across a wide range of industries.

Our course is designed to provide a unique and in-depth understanding of compressible flow by seamlessly integrating fluid dynamics and thermodynamics principles. This approach creates a robust and well-rounded theoretical foundation, preparing you to analyze and solve complex problems involving compressible flow in ideal gases with constant specific heats.

We begin our journey by reviewing essential concepts, such as stagnation state, speed of sound, and Mach number. These foundational topics are crucial for gaining a solid grasp of the underlying principles of compressible flow dynamics.

Next, we explore the relationships between static and stagnation fluid properties in isentropic flows of ideal gases. We express these relationships as functions of specific heat ratios and the Mach number, which are vital for understanding the behavior of compressible flows.

Delving deeper, we examine the effects of area changes on one-dimensional isentropic subsonic and supersonic flows. This is demonstrated through an in-depth analysis of isentropic flow in converging and converging-diverging nozzles, showcasing the practical implications of these principles.

Lastly, we introduce the intriguing concept of shock waves, discussing their formation and the variations in flow properties across normal shock waves. This knowledge is critical for addressing real-world challenges related to high-speed gas flows and their associated phenomena.

Don't miss this opportunity to master compressible flow dynamics and elevate your understanding of high-speed gas flow and thermodynamics. Enroll now to unlock the secrets of compressible flows and enhance your skill set in this fascinating field!

Who this course is for:

Engineers and Scientists interested in Compressible Flow

Compressible Flow Fundamentals: High-Speed Gas Dynamics

What you'll learn

Explore related topics

Course content

Isentropic Compressible Flow6 lectures • 1hr 48min

Compressible Flow with Area Changes6 lectures • 2hr

The Normal Shock Wave4 lectures • 2hr 11min

Exercise Files1 lecture • 1min

Requirements

Description

Who this course is for: