…Момент был сочтен удачным: родители были заняты застольными разговорами. Достав малую саперную лопатку, я начал копать недалеко от подсобки. Земля поддавалась легко. Наконец, когда ямка достигла глубины штыка лопатки, я достал коробочку из-под духов, где, завернутые в фольгу, лежали примерно 100 граммов ДНДАФ[1] – результат недельных химических опытов.
ДНДАФ – стойкий краситель: кожа рук более недели после завершения «производства» не теряла грязно-коричневый оттенок, который нельзя было соскрести даже пемзой. Но целью являлось, конечно же, не получение красителя: ДНДАФ был мощным взрывчатым веществом (ВВ), причем инициирующим – взрывался даже от слабой искры. В развернутую фольгу была помещена лампочка от карманного фонаря с разбитым баллоном и спиралью, обмазанной размягченной в ацетоне и затем высушенной пороховой смесью. Два провода, ведущих к лампочке, были прокинуты в сторону от «шахты», которая была засыпана и тщательно утрамбована. Мелькнула мысль положить сверху еще и тяжелый камень, но ангел-хранитель и лень не допустили такой глупости: при неблагоприятном стечении обстоятельств камень мог бы и «заплясать» на голове «руководителя испытаний». Наконец, я лег на землю в десятке метров от «шахты», взял в одну руку фотоаппарат, а пальцем другой (с намотанным на него проводом) стал нащупывать контакт батарейки…
Рис. 1.1 Неудавшийся «камуфлет»
…Контакт был замкнут неожиданно: внезапный сильный удар по ушам оглушил, он же вызвал судорогу пальца на спуске фотоаппарата (рис. 1.1). Не было никакого протяжного гула, «как в кино». Вверх взлетела туча дыма, песка и какие-то ошметки.
Задуманный камуфлет – подземный взрыв без выброса газообразных продуктов на поверхность – явно таковым не получился. Ни с чем не сравнимый запах этих газов щипал ноздри и легкие. Мне суждено было вдохнуть его тысячи раз…
… По ушам «руководителю испытаний» хлопнула тогда ударная волна, а в шахте произошла детонация. Эти явления тесно связаны.
Движение поршня, как и любое другое, можно представить как последовательность очень малых перемещений. Каждое из них формирует возмущение: чуть-чуть поджимает газ впереди себя и сообщает сжатой массе скорость поршня (рис. 1.2). В этой слабой (акустической) волне, скорость фронта равна скорости звука, но в сжатом газе скорость звука больше, чем в несжатом, и, поскольку дальнейшие возмущения пойдут по сжатому, они будут иметь большую скорость. Кроме того, сам сжатый газ движется со скоростью поршня и, следовательно, относительно цилиндра скорость второй волны равна сумме скоростей: поршня и увеличенной – звука. Эта сумма и подавно превосходит скорость первого возмущения, поэтому вторая волна сжатия непременно догонит первую и усилит ее. Но перегнать ее она не сможет, так как для этого ей пришлось бы перейти в несжатый газ, где скорость распространения возмущения опять равна начальной скорости звука. Таким образом, поршень погонит удаляющуюся от него волну сжатия увеличивающейся амплитуды, которая образуется в результате слияния отдельных слабых возмущений. Со временем, количество перейдет в качество: на фронте волны образуется резкий скачок уплотнения, в котором будет расти давление – до сколь угодно больших значений, в зависимости от скорости поршня. Такое резкое, происходящее на расстоянии порядка длины свободного пробега молекул изменение параметров вещества – и называется ударной волной.
![](data:image/jpeg;base64,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)
Рис. 1.2
Вверху: образование ударной волны поршнем, вдвигаемым в цилиндр с газом (в «красной» области – ударно-сжатый, нагретый и более плотный газ). Внизу: ударно-волновой процесс в конденсированном веществе. Срабатывание электродетонатора (его провода видны в правой части снимка) привело к формированию в заряде динамита ударной волны, за которой последовала химическая реакция (произошла детонации этого мощного взрывчатого состава)
В сформировавшейся УВ все параметры связаны взаимнооднозначным соответствием. Иными словами: для идентичных начальных условий невозможно сформировать волны, например, с одинаковыми скоростями, но разными давлениями во фронте или температурами. Это существенно упрощает многие эксперименты: достаточно измерить скорость или любую другую характеристику УВ – и остальные ее параметры можно определить по таблицам. Правда, подобное справедливо лишь для однократного ударного сжатия вещества. Если же оно сжимается несколькими волнами – тут возможны варианты.
УВ не только сжимает, она также и нагревает вещество, из-за чего плотность сжатого вещества не становится сколь угодно большой при неограниченном росте давления, а стремится к конечному пределу (воздух, например, сжимается не более чем в 6 раз). Предел ударного сжатия существует и для конденсированных веществ, а, поскольку сжатие конечно, массовая скорость вещества (скорость поршня) всегда меньше скорости фронта (рис. 1.3).
Рис. 1.3
«Карандашная» иллюстрация сжатия вещества в УВ. Моделируется «воздушный» врыв и УВ распространяется сверху вниз. Пусть сжатие – двукратное, тогда в невозмущенном веществе зазоры должны быть равны толщине карандашей