Details
Ordinary shock waves are compressive, that is, they fulfill the Peter Lax conditions: the characteristic speed behind the shock is greater than the speed of the shock, which is greater than the characteristic speed in front of the shock. The characteristic speed is the speed of small, traveling perturbations. The Lax conditions seem to be necessary for a shock wave to come to existence; if the top of a wave goes faster than its bottom, then the wave front becomes sharper and sharper and eventually becomes a shock wave (a "discontinuous" wave, a sharp wave front which remains sharp when it travels).
A shock wave is undercompressive if and only if the Lax conditions are not fulfilled. Undercompressive shock waves are astonishing: how can a wave front remain sharp if little perturbations can escape from it? At first sight, it seems that such a wave should not exist. But it exists. It has been observed that a sharp wave front remained sharp in its traveling and that little perturbations behind the front traveled slower than it.
The experiment can be made with traveling liquid steps : a thick film is spreading on a thin one. The liquid steps remain sharp when they travel because the spreading is enhanced by the Marangoni effect. Making little perturbations with the tip of a hair, one can see whether shock waves are compressive or undercompressive.
Read more about this topic: Undercompressive Shock Wave
Famous quotes containing the word details:
“Then he told the news media
the strange details of his death
and they hammered him up in the marketplace
and sold him and sold him and sold him.
My death the same.”
—Anne Sexton (19281974)
“If my sons are to become the kind of men our daughters would be pleased to live among, attention to domestic details is critical. The hostilities that arise over housework...are crushing the daughters of my generation....Change takes time, but mens continued obliviousness to home responsibilities is causing women everywhere to expire of trivialities.”
—Mary Kay Blakely (20th century)
“Different persons growing up in the same language are like different bushes trimmed and trained to take the shape of identical elephants. The anatomical details of twigs and branches will fulfill the elephantine form differently from bush to bush, but the overall outward results are alike.”
—Willard Van Orman Quine (b. 1908)