4 ms·
I am having trouble seeing how compression in a shock would be isentropic? Care to elaborate? And why passing through a shock (compression) is akin to friction
by bernulli 6y ago
I am having trouble seeing how compression in a shock would be isentropic? Care to elaborate?
And why passing through a shock (compression) is akin to friction, but not to compression?
- pfdietz 6y agoBecause compression, as normally considered, does not generate entropy. It causes gas to become hotter because the temperature has to be higher for entropy to remain constant, as the volume is reduced. This is a reversible process. But shocks are inherently irreversible. But as my last sentence said, as the mach number goes to infinity the density increase across the shock is finite. Therefore, compression cannot be the (primary) source of the heating; dissipation is.
- bernulli 6y agoI have never seen compression to be considered inherently reversible, certainly not in the aerospace or hypersonics/reentry communities. I assume you come from a different background? Care to explain your second argument? Even when the density reaches a limit, the change in pressure over the shock does not, so you can pump in energy arbitrarily (of course your gas would dissociate at some point). The total pressure loss can be complete if your initial Mach number is high enough.
- pfdietz 6y agoLet's look up a definition. "Compression: decrease in volume of any object or substance resulting from applied stress." Compression refers to a reduction in volume, not an increase in pressure. This is finite for gas crossing a shock, even as the mach number goes to infinity.
- bernulli 6y agoExactly. There's no mention at all about the foundation of all your arguments, namely that compression be inherently isentropic. It simply is not. You can add it as an additional constraint, if you want to. What I say is that even when dV approaches a constant, the pressure still rises, so the product also rises. [edit: removed snark]
- pfdietz 6y agoRequiring compression to be isentropic is just requiring "compression" to be a well-defined term with a specific quantitative result. Otherwise, it's a vague term that offers no quantitative prediction for how much heating it produces for a given change in density. That's not science.
- ThenAsNow 6y agoLook, where does this idea come in that compression "as normally considered, does not generate entropy"? The inlet of a supersonic aircraft or a ramjets/scramjet performs non-isentropic (shock-based) compression. You're coming up with your own definition of compression that is inconsistent with gasdynamics practice.
- pfdietz 6y agoConsidering compression to be isentropic is just nailing down what compression means enough for its heating to be actually definable. Otherwise, the argument is just "if there's compression occurring, all the heating must be considered as being due to compression" which is just bullshit.
- ThenAsNow 6y agoCompression due to a shock is not isentropic. Parent is incorrect. This is basic gasdynamics. An accessible reference: Modern Compressible flow, by Anderson.
- pfdietz 6y agoI didn't say compression at a shock was isentropic. I was saying the claim that compression at the shock could not be the cause of (all) the heating, unless you simply define heating at a shock as being due to compression. Instead, I think you should separate out the heating there into two parts: one due to isentropic compression, and one due to injection of additional entropy by dissipation at the shock.
- bernulli 6y agoYes you do, you keep repeating that 'proper' compression is isentropic. That's simply not the case, certainly not across a shock. The second part of your argument is well defined and makes sense, and no-one argued that. But explain to me again how this is now 'like friction'?
- pfdietz 6y agoRequiring compression to be isentropic is just requiring "compression" to be a well-defined term with a specific quantitative result. Otherwise, it's a vague term that offers no quantitative prediction for how much heating it produces for a given change in density. That's not science.
- ThenAsNow 6y agoReplying to myself since I guess there's a thread depth limit. Now what you are saying is making sense, your original post did not. Irreversibility (increase in entropy) across the shock does cause a significant temperature gain (and at re-entry speeds, nonequilibrium flow, radiation, etc.), but isentropic compression does as well. Still, the shock is a compression artifact, and while you can draw an analogy between the irreversibility within a shock and that in a friction process like in a viscous drag, the original poster's categorization of re-entry heating as compression heating is completely consistent with how practitioners in the gasdynamics community would categorize it.