The well-known Fanno-line process deals with a perfect gas flowing in a duct of constant cross-sectional area with friction in which there is no heat transfer to or. Show that the maximum (static) temperature in Rayleigh flow occurs when the a T –s diagram for the system, showing the complete Fanno and Rayleigh lines. It is possible to obtain physical picture of the flow through a normal shock by employing some of the ideas of Fanno line and Rayleigh line Flows. Flow through a.

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Also, normal shocks form a straight line whereas oblique shocks can be straight or curved, depending on the surface geometry. The intersection points occur at lins given initial Mach number and its post- normal shock value. Each point on the Fanno line will have a different momentum value, and the change in momentum is attributable to the effects of friction.

These values are significant in the design of combustion systems. In other projects Wikimedia Commons. Since all the condition of state “1” are known, there is no difficulty in locating state “1” on T-s diagram. Heat addition will cause both supersonic and subsonic Mach numbers to approach Mach 1, resulting in choked flow.

Compressibility effects often come into consideration, although the Rayleigh flow model certainly also applies to incompressible flow.

The movement in Figure 4 is always from the left to the right in order to satisfy the second law of thermodynamics.

Retrieved from ” https: Air stagnation conditions are Compute. The main assumptions associated with Rayleigh flow are: The characteristic aspect of Fanno flow is its consideration of friction. An Engineering Approach, 5th edition by Yunus A.

First Law of Thermodynamics-The Energy Equation 4 Work transfer can also occur at the control surface when a force associated with fluid normal stress. About project SlidePlayer Terms of Service.

Mass and Energy Analysis rajleigh Control Volumes. raylwigh

Wall friction is significant and should be considered when studying flow through long flow sections, e. For this model, the duct area remains constant and no mass is added within the duct.

## Rayleigh flow

Oblique shocks occur when a gas flowing at supersonic speeds strikes a flat or inclined surface. While Rayleigh line curve through state “1” gives a locus of mathematical states that satisfy Eqs The Rayleigh flow model begins with a differential equation that relates the change in Mach number with the change in stagnation temperatureT 0.

This page was last edited on 3 Augustat Additionally, the stagnation temperature remains constant. The differential equation is shown below.

### Fanno flow – Wikipedia

Therefore, unlike Fanno flowthe stagnation temperature is a variable. The Rayleigh flow model is also used extensively with the Fanno flow model. My presentations Profile Feedback Log out.

What do the intersection points of these two curves rayleigu Flow through a normal shock must satisfy Eqs The Fanno line curve does not satisfy Eq.

A given flow with a constant duct area can switch between the Rayleigh and Fanno models at these points. The Fanno flow model is also used extensively with the Rayleigh flow model. By using this site, you agree to the Terms of Use and Privacy Policy. The Fanno rayyleigh model is considered an irreversible process due to viscous effects.

Download ppt “Shock waves and expansion waves Rayleigh flow Fanno flow Assignment”. The area and mass flow rate are held constant for Rayleigh flow.

At the same time, for a liens state” 1″, the end state “2” of the normal shock must lie on both the Fanno line and Rayleigh line passing through state “1. Rayleigh flow is named after John Strutt, 3rd Raylegih Rayleigh. A stagnation property contains a 0 subscript.