{"product_id":"kayella-the-kaye-effect-physics-t-shirt","title":"Kayella – The Kaye Effect Physics T-Shirt","description":"\u003cp\u003eKayella pours a ribbon of shampoo, and it leaps back up off the heap.\u003c\/p\u003e\u003ch3\u003eThe Physics\u003c\/h3\u003e\u003cp\u003eShampoo is shear-thinning: the faster it is sheared, the runnier it gets. A falling stream builds a heap, cuts a dimple in it, and slides out of the dimple on a thin, highly sheared lubricating layer, leaping back up. Each leap lasts about a second before it collapses.\u003c\/p\u003e\u003cp\u003e\u003cstrong\u003eη = K γ̇^(n−1),   n \u0026lt; 1\u003c\/strong\u003e\u003c\/p\u003e\u003cul\u003e\n\u003cli\u003eη: apparent viscosity (Pa·s)\u003c\/li\u003e\n\u003cli\u003eK: consistency index (Pa·sⁿ)\u003c\/li\u003e\n\u003cli\u003eγ̇: shear rate (1\/s)\u003c\/li\u003e\n\u003cli\u003en: flow index (dimensionless; below 1 means shear-thinning)\u003c\/li\u003e\n\u003c\/ul\u003e\u003cp\u003eA. Kaye described it in 1963, and Versluis et al. explained the stable effect in 2006.\u003c\/p\u003e\u003cp\u003e\u003cem\u003eHonest caveat:\u003c\/em\u003e It is not an elastic bounce: the stream slides out on a lubricating layer.\u003c\/p\u003e\u003ch3\u003eOn the shirt\u003c\/h3\u003e\u003cp\u003eFront: Kayella, the pixel-art character, with the title. Back: the power-law viscosity, the dimple-and-slide mechanism and the 1963 and 2006 sources. Printed on a unisex tee.\u003c\/p\u003e","brand":"Printify","offers":[{"title":"S \/ White","offer_id":50936708431975,"sku":"22309500346509015438","price":29.99,"currency_code":"USD","in_stock":true},{"title":"S \/ Black","offer_id":50936708464743,"sku":"83840483799871951186","price":29.99,"currency_code":"USD","in_stock":true},{"title":"M \/ White","offer_id":50936708497511,"sku":"67993675815506077976","price":29.99,"currency_code":"USD","in_stock":true},{"title":"M \/ Black","offer_id":50936708530279,"sku":"60833588032574189333","price":29.99,"currency_code":"USD","in_stock":true},{"title":"L \/ White","offer_id":50936708563047,"sku":"16992425598973837455","price":29.99,"currency_code":"USD","in_stock":true},{"title":"L \/ Black","offer_id":50936708595815,"sku":"62135457536802929012","price":29.99,"currency_code":"USD","in_stock":true},{"title":"XL \/ White","offer_id":50936708628583,"sku":"17894350466697176367","price":29.99,"currency_code":"USD","in_stock":true},{"title":"XL \/ Black","offer_id":50936708661351,"sku":"19331817726027161146","price":29.99,"currency_code":"USD","in_stock":true},{"title":"2XL \/ White","offer_id":50936708694119,"sku":"18742317883602070805","price":29.99,"currency_code":"USD","in_stock":true},{"title":"2XL \/ Black","offer_id":50936708726887,"sku":"20512668278208087433","price":29.99,"currency_code":"USD","in_stock":true},{"title":"3XL \/ White","offer_id":50936708759655,"sku":"24636745606540793181","price":29.99,"currency_code":"USD","in_stock":true},{"title":"3XL \/ Black","offer_id":50936708792423,"sku":"31015391887449189274","price":29.99,"currency_code":"USD","in_stock":true},{"title":"4XL \/ White","offer_id":50936708825191,"sku":"24675094153024611987","price":29.99,"currency_code":"USD","in_stock":true},{"title":"4XL \/ Black","offer_id":50936708857959,"sku":"17636807377381552105","price":29.99,"currency_code":"USD","in_stock":true},{"title":"5XL \/ White","offer_id":50936708890727,"sku":"17961129755014527054","price":29.99,"currency_code":"USD","in_stock":true},{"title":"5XL \/ Black","offer_id":50936708923495,"sku":"32654119681678172042","price":29.99,"currency_code":"USD","in_stock":true}],"thumbnail_url":"\/\/cdn.shopify.com\/s\/files\/1\/0596\/8746\/9159\/files\/kaye-effect_front_01_white.png?v=1793595990","url":"https:\/\/pixelatedphysics.com\/zh-hant\/products\/kayella-the-kaye-effect-physics-t-shirt","provider":"Pixelated Physics","version":"1.0","type":"link"}