Are There Multiple SCRAMjet Designs or Just One Accepted Model?

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There are multiple SCRAMjet designs, but many proposals focus on a physical compression of air in the inlet, similar to ramjet engines. This compression is achieved through a volumetric decrease from front to rear, allowing combustion at supersonic speeds. The discussion raises the possibility of alternative compression methods that could enhance efficiency, such as utilizing the Bernoulli effect to reduce drag. However, it is noted that traditional Bernoulli equations may not apply effectively at supersonic speeds due to the complexities of shock waves. Overall, the conversation highlights the ongoing exploration of SCRAMjet design and efficiency improvements.
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So I was wondering if there was only one generally accepted SCRAMjet design or if there are many.
Based on the small amount of info available, info primarilly concerning theoretical hypersonic operation, it seems that most design proposals involve a "physical" compression of air in the inlet. This is to say that the compression is achieved by a volumetric decrease from front to rear in the inlet, just like a ramjet engine. So is it just a lower drag, lower compression rate version of a ramjet design that allows the air to enter and combust at supersonic speeds? I ask because I feel that a method of compression that didn't involve a volumetric decrease would be more efficient. A specifically shaped engine could utilize the bernoulli effect and would create much less drag with a smaller cross sectional surface area.
Any thoughts?
 
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When you work with supersonic speeds and shock waves, you can't depend on the Bernoulli effect equations.
 
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