![]() ![]() However, motion along a track of varying height z(x) occurs in two dimensions, so the analogy is not exact. We often tell our students that a potential energy function U(x) can be thought of as representing a particle sliding along a track in a vertical plane, with peaks and valleys corresponding to points of stable and unstable equilibrium. Paragliders' launch trajectory is universal by Quentin Da Cruz Lopes Sophie Ramananarivo Caroline Cohen Michael Benzaquen. It is suitable for an undergraduate calculus course, a computer-based problem-solving course, or an undergraduate introduction to phase transitions. This nice example shows, using only elementary undergraduate calculus, that bifurcations can be found everywhere in nature, even in the classroom. Indeed, the present paper shows that the maximum length a notebook page can extend outside the notebook area is a bifurcating quantity that only depends on the aspect ratio of the page. To this large variety of systems, you can now add the singly folded notebook page. What do the budworm population, the distribution of debris of the Sagittarius dwarf, coupled quantum wells, or the non-linear Chua’s circuit have in common? These are all bifurcating systems. On the bifurcation behavior of a folded notebook page by Zhang Chenguang (张晨光). ![]() The CFM RISE program aims to have a demo engine ready to fly by the middle of this decade.In this issue: May 2023 by John Essick Claire A. Propfans, however, were eventually adopted on aircraft like the Antonov An-70, but on a smaller and simpler scale. In the 1980s, however, the technology lost support after the engine generated too much noise. Safran also evaluated a similar concept years ago, the Open Rotor, which like the UDF had the outer section at the back. The difference is that on the Propfan the propellers (or fans) were located at the rear of the engine, receiving the heated air flow from the compressor. The idea is vaguely reminiscent of the Propfan, or UDF (Unducted Fan) system, which GE itself tested in the 1980s on 727 and MD-80 jets as a testbed. The most striking aspect of the project is the open fan concept, with two stages, the first with 12 blades. Since the early 1970s, breakthrough engine efficiency and reliability have been the hallmark of our historic partnership and our LEAP engine already reduces emissions by 15 percent compared to previous generation engines.” GE Unducted Fan program ( Andrew Thomas) Propfan “We have to act now to accelerate our efforts to reduce our impact on the environment. “Our industry is in the midst of the most challenging times we have ever faced,” said Olivier Andriès, CEO of Safran. fully embrace the sustainability imperative.” “Together, through the RISE technology demonstration program, we are reinventing the future of flight, bringing an advanced suite of revolutionary technologies to market that will take the next generation of single-aisle aircraft to a new level of fuel efficiency and reduced emissions. “The relationship between GE and Safran today is the strongest it has ever been,” said John Slattery, CEO of GE Aviation. The CFM RISE engine wil enter service from the mid-2030s (Safran) The two companies also extended the partnership at CFM until 2050, when they expect CO² emissions to be cut in half. The new range of engines that are to replace the Leap series will be able to offer 20% lower fuel consumption and emissions than current turbofans. General Electric and Safran announced on Monday an ambitious program that foresees the development of the new generation of the CFM engine, a joint venture created by the two companies in 1974.Ĭalled CFM RISE (Revolutionary Innovation for Sustainable Engines), the program aims to demonstrate a new line of disruptive technologies for future engines will enter service from the mid-2030s.Īmong the technologies to be studied are an open fan architecture, hybrid electric capability, use of sustainable jet fuel and hydrogen. ![]()
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