{"product_id":"rayleighs-collapse-plate-008-physics-poster","title":"Rayleigh's Collapse – Plate 008 Physics Poster","description":"\u003cp\u003ePlate 8 speaks for itself: \u003cem\u003e“Empty space, crushed in 91 microseconds.”\u003c\/em\u003e\u003c\/p\u003e\u003ch3\u003eThe Physics\u003c\/h3\u003e\u003cp\u003eRayleigh solved the collapse of an empty spherical cavity in an incompressible liquid under a constant pressure difference. The collapse time scales with the radius and the square root of density over pressure.\u003c\/p\u003e\u003cp\u003e\u003cstrong\u003et_c ≈ 0.915 R₀ √(ρ \/ Δp)\u003c\/strong\u003e\u003c\/p\u003e\u003cul\u003e\n\u003cli\u003et_c: collapse time, s\u003c\/li\u003e\n\u003cli\u003eR₀: initial cavity radius, m\u003c\/li\u003e\n\u003cli\u003eρ: liquid density, kg m⁻³\u003c\/li\u003e\n\u003cli\u003eΔp: pressure difference driving collapse, Pa\u003c\/li\u003e\n\u003c\/ul\u003e\u003cp\u003eR₀ = 1 mm, Δp = 101 325 Pa in water: t_c ≈ 91 µs (Rayleigh, 1917).\u003c\/p\u003e\u003cp\u003e\u003cem\u003eHonest caveat:\u003c\/em\u003e Real bubbles hold gas and vapour, so they rebound rather than collapse to a point.\u003c\/p\u003e\u003ch3\u003eSources\u003c\/h3\u003e\u003cul\u003e\u003cli\u003eLord Rayleigh, Phil. Mag. 34, 94 (1917).\u003c\/li\u003e\u003c\/ul\u003e\u003ch3\u003eOn the poster\u003c\/h3\u003e\u003cp\u003ePlate 008, “Rayleigh's Collapse”: the pixel-art plate with its slogan “Empty space, crushed in 91 microseconds.”, the key equation and the facts panel shown above. Pixelated Physics. Physics. Personified.\u003c\/p\u003e","brand":"Printify","offers":[{"title":"9'' x 12\" (Vertical) \/ Matte","offer_id":50961501323367,"sku":"19164856975709953807","price":19.99,"currency_code":"USD","in_stock":true},{"title":"9'' x 12\" (Vertical) \/ Fine Art","offer_id":50961501356135,"sku":"19855094030332379692","price":29.99,"currency_code":"USD","in_stock":true},{"title":"9'' x 12\" (Vertical) \/ Semi Glossy","offer_id":50961501388903,"sku":"37130878989233208698","price":19.99,"currency_code":"USD","in_stock":true},{"title":"18″ x 24″ (Vertical) \/ Fine Art","offer_id":50961501421671,"sku":"45001769941745275925","price":44.99,"currency_code":"USD","in_stock":true},{"title":"18″ x 24″ (Vertical) \/ Semi Glossy","offer_id":50961501454439,"sku":"26526149874336187102","price":29.99,"currency_code":"USD","in_stock":true},{"title":"18″ x 24″ (Vertical) \/ Matte","offer_id":50961501487207,"sku":"16792458165941155405","price":29.99,"currency_code":"USD","in_stock":true},{"title":"36'' x 48\" (Vertical) \/ Matte","offer_id":50961501519975,"sku":"33679393820452466017","price":69.99,"currency_code":"USD","in_stock":true},{"title":"36'' x 48\" (Vertical) \/ Fine Art","offer_id":50961501552743,"sku":"63063370957317551197","price":119.99,"currency_code":"USD","in_stock":true},{"title":"36'' x 48\" (Vertical) \/ Semi Glossy","offer_id":50961501585511,"sku":"29407746516516432484","price":69.99,"currency_code":"USD","in_stock":true}],"thumbnail_url":"\/\/cdn.shopify.com\/s\/files\/1\/0596\/8746\/9159\/files\/16958079431935726803_2048.jpg?v=1793632087","url":"https:\/\/pixelatedphysics.com\/products\/rayleighs-collapse-plate-008-physics-poster","provider":"Pixelated Physics","version":"1.0","type":"link"}