The purpose of plotting Mach number as a function of Area ratio is to analyze the relationship between the two variables and understand how they affect each other. This allows for a better understanding of the behavior of fluids at different speeds and areas.
Mach number and Area ratio are inversely related, meaning that as Mach number increases, the Area ratio decreases and vice versa. This relationship is described by the fundamental equation of compressible flow, which states that the product of Mach number and Area ratio must remain constant.
A plot of Mach number as a function of Area ratio typically has a hyperbolic shape, with the Mach number decreasing as the Area ratio decreases. The slope of the curve becomes steeper as the Mach number increases, indicating a more rapid decrease in Area ratio.
The plot of Mach number as a function of Area ratio is commonly used in aerodynamics to determine the behavior of fluids at different speeds and areas. It is also used to analyze and design supersonic and hypersonic aircraft, as well as in the development of rocket engines and nozzles.
The plot of Mach number as a function of Area ratio can be affected by various factors, including changes in temperature, pressure, and fluid composition. Additionally, the shape and design of the area being analyzed, such as a nozzle or airfoil, can also impact the plot.