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The Murman-Cole Equation is a mathematical formula used to model the flow of compressible fluids, such as air, in a supersonic or hypersonic regime. It was developed in the 1970s by researchers Ramesh K. Agarwal and William K. Stewart and is named after its creators.
The Murman-Cole Equation is used to predict the behavior of compressible fluid flows in supersonic or hypersonic conditions. It is particularly useful for designing and analyzing high-speed aerodynamic systems such as rockets, missiles, and aircraft.
The Murman-Cole Equation is unique because it accounts for both Newtonian and non-Newtonian fluid behavior, making it applicable to a wider range of flow conditions. It also incorporates the effects of compressibility and viscosity, making it more accurate for high-speed flows.
The Murman-Cole Equation assumes that the fluid flow is steady, inviscid (no friction), and adiabatic (no heat transfer). It also assumes that the fluid is compressible and follows the ideal gas law. These assumptions allow for a simplified mathematical representation of the flow behavior.
The Murman-Cole Equation is most commonly used in computational fluid dynamics (CFD) simulations to analyze and predict the behavior of high-speed flows. It is also used in wind tunnel testing and in the design of aerospace and defense systems. Engineers and researchers may also use the equation to analyze and optimize the performance of existing systems.