Last month when I was in Taiwan [see ‘Ancient Standards‘ on January 29th, 2020] , I visited Kuosheng Nuclear Power Plant which has a pair of boiling water reactors that each generate 986 MWe, or between them about 7% of Taiwan’s electricity. The power station is approaching the end of its licensed life in around 2023 after being constructed in 1978 and delivering electricity commercially for about 40 years, since the early 1980’s. There is an excellent exhibition centre at the power station that includes the life-size mock-up of the reinforcement rods in the concrete of the reactors shown in the photograph. I am used to seeing reinforcing bar, or rebar as it is known, between 6 to 12mm in diameter on building site, but I had never seen any of this diameter (about 40 to 50mm diameter) or in such a dense grid. On the other hand, we are not building any nuclear power stations in the UK at the moment so there aren’t many opportunities to see closeup the scale of structure required.
Earlier this summer, when we were walking the South West Coastal Path [see ‘The Salt Path‘ on August 14th, 2019], we frequently saw kestrels hovering above the path ahead of us. It is an enthralling sight watching them use the air currents around the cliffs to soar, hang and dive for prey. Their mastery of the air looks effortless. What you cannot see from the ground is the complex motion of their wing feathers changing the shape and texture of their wing to optimise lift and drag. The base of their flight feathers are covered by small flexible feathers called ‘coverts’ or ‘tectrix’, which in flight reduce drag by providing a smooth surface for airflow. However, at low speed, such as when hovering or landing, the coverts lift up and the change the shape and texture of the wing to prevent aerodynamic stalling. In other words, the coverts help the airflow to follow the contour of the wing, or to remain attached to the wing, and thus to generate lift. Aircraft use wing flaps on their trailing edges to achieve the same effect, i.e. to generate sufficient lift at slow speeds, but birds use a more elegant and lighter solution: coverts. Coverts are deployed passively to mitigate stalls in lower speed flight, as in the picture. When I was in the US last month [see ‘When upgrading is downgrading‘ on August 21st, 2019], one of the research reports was by Professor Aimy Wissa of the Department of Mechanical Science & Engineering at the University of Illinois Urbana-Champaign, who is working on ‘Spatially distributed passively deployable structures for stall mitigation‘ in her Bio-inspired Adaptive Morphology laboratory. She is exploring how flaps could be placed over the surface of aircraft wings to deploy in a similar way to a bird’s covert feathers and provide enhanced lift at low speeds. This would be useful for drones and other unmanned air vehicles (UAVs) that need to manoeuvre in confined spaces, for instance in cityscapes.
I must admit that I had occasionally noticed the waves of fluttering small feathers across the back of a bird’s wing but, until I listened to Aimy’s presentation, I had not realised their purpose; perhaps that lack of insight is why I specialised in structural mechanics rather than fluid mechanics with the result that I was worrying about the fatigue life of the wing flaps during her talk.
The picture is from a video available at Kestrel Hovering and Hunting in Cornwall by Paul Dinning.
I have been resolving an extreme case of Tsundoku [see ‘Tsundoki‘ on May 24th, 2017] over the last few weeks by reading ‘A short walk in the Hindu Kush‘ by Eric Newby which I bought nearly forty years ago but never read, despite taking it on holiday a couple of years ago. Although it was first published in 1958, it is still in print and on its 50th edition; so, it has become something of classic piece of travel writing. It is funny, understated and very English, or least early to mid 20th century English.
It felt quite nostalgic for me because about thirty years ago I took a short walk in Gilgit Baltistan. Gilgit Baltistan is in northern Pakistan on the border with China and to the west of Nuristan in Afghanistan where Eric Newby and Hugh Carless took their not-so short walk. I went for a scramble up a small peak to get a better view of the mountains in the Hindu Kush after a drive of several days up the Karakorum Highway. We were driven from Islamabad to about a mile short of the border with China on the Khunjerab pass at 4730 m [compared to Mont Blanc at 4810 m].
I was there because the Pakistani Government supplied a small group of lecturers with a mini-bus and driver to take us up the Karakorum Highway [and back!] in exchange for a course of CPD [Continuing Professional Development] lectures on structural integrity. This we delivered in Islamabad to an audience of academics and industrialists during the week before the trip up the Karakoram Highway. So, Eric Newby’s description of whole villages turning out to greet them and of seeing apricots drying in the sun on the flat roofs of the houses brought back memories for me.
A few weeks ago we went to the Tate Liverpool with some friends who were visiting from out of town. It was my second visit to the gallery in as many months and I was reminded that on the previous visit I had thought about writing a post on a painting called ‘Bottle and Fishes’ by the French artist, Georges Braque. It’s an early cubist painting – the style was developed by Picasso and Braque at the beginning of the last century. The art critic, Louis Vauxcelles coined the term ‘cubism’ on seeing some of Braque’s paintings in 1908 and describing them as reducing everything to ‘geometric outlines, to cubes’. It set me thinking about how long it took the engineering world to catch on to the idea of reducing objects, or components and structures, to geometric outlines and then into cubes. This is the basis of finite element analysis, which was not invented until about fifty years after cubism, but is now ubiquitous in engineering design as the principal method of calculating deformation and stresses in components and structures. An engineer can calculate the stresses in a simple cube with a pencil and paper, so dividing a structure into a myriad of cubes renders its analysis relatively straightforward but very tedious. Of course, a computer removes the tedium and allows us to analyse complex structures relatively quickly and reliably.
So, why did it take engineers fifty years to apply cubism? Well, we needed computers sufficiently powerful to make it worthwhile and they only became available after the Second War World due to the efforts of Turing and his peers. At least, that’s our excuse! Nowadays the application of finite element analysis extends beyond stress fields to many field variables, including heat, fluid flow and magnetic fields.