[AR] Re: thinking big once more

  • From: Henry Spencer <hspencer@xxxxxxxxxxxxx>
  • To: Arocket List <arocket@xxxxxxxxxxxxx>
  • Date: Thu, 29 Sep 2016 23:30:09 -0400 (EDT)

On Fri, 30 Sep 2016, Peter Fairbrother wrote:

However perhaps the biggest gain is in the sea-level thrust coefficient - 1.7769 at 20MPa and 1.8416 at 30MPa. That's an increase of 3.5% in takeoff thrust.

Uh, remember that thrust is thrust coefficient, times throat area, *times* *chamber* *pressure*. So that's a 55% increase in thrust, not 3.5%.

The traditional reason for wanting high pressure in a first-stage engine is not higher Isp, but getting more thrust out of an engine whose size is constrained by packaging issues, e.g. the size of the vehicle base. This is why the SSME's pressure was so high -- three of them had to fit in the lee of a dense, compact orbiter during reentry. Similarly, the RD-170 was constrained to fit within the maximum allowable cross-section of a Russian railroad cargo, so a fully-assembled Zenit first stage could be moved by rail without restrictions.

Historically, designs for big rockets tend to gain width faster than they gain height, simply because they need the extra base area. Elon's megarocket would have to be a good deal shorter and fatter without that alarmingly high chamber pressure.

Henry

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