{"product_id":"saffman-taylor-fingers-plate-010-physics-poster","title":"Saffman–Taylor Fingers – Plate 010 Physics Poster","description":"\u003cp\u003ePlate 10 speaks for itself: \u003cem\u003e“The thin pushes into the thick, and splits.”\u003c\/em\u003e\u003c\/p\u003e\u003ch3\u003eThe Physics\u003c\/h3\u003e\u003cp\u003eWhen a less viscous fluid pushes a more viscous one in a thin gap (a Hele-Shaw cell), the interface is unstable and grows fingers. Flow in the gap obeys Darcy's law.\u003c\/p\u003e\u003cp\u003e\u003cstrong\u003eu = −(b² \/ 12μ) ∇p\u003c\/strong\u003e\u003c\/p\u003e\u003cul\u003e\n\u003cli\u003eu: gap-averaged velocity, m s⁻¹\u003c\/li\u003e\n\u003cli\u003eb: gap thickness, m\u003c\/li\u003e\n\u003cli\u003eμ: dynamic viscosity, Pa s\u003c\/li\u003e\n\u003cli\u003e∇p: pressure gradient, Pa m⁻¹\u003c\/li\u003e\n\u003c\/ul\u003e\u003cp\u003eOne steady finger fills about half the channel. Saffman and Taylor, 1958.\u003c\/p\u003e\u003ch3\u003eSources\u003c\/h3\u003e\u003cul\u003e\u003cli\u003eP. G. Saffman, G. I. Taylor, Proc. R. Soc. A 245, 312 (1958).\u003c\/li\u003e\u003c\/ul\u003e\u003ch3\u003eOn the poster\u003c\/h3\u003e\u003cp\u003ePlate 010, “Saffman–Taylor Fingers”: the pixel-art plate with its slogan “The thin pushes into the thick, and splits.”, 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":50961571545191,"sku":"24907901282989656075","price":19.99,"currency_code":"USD","in_stock":true},{"title":"9'' x 12\" (Vertical) \/ Fine Art","offer_id":50961571577959,"sku":"28459548962418585711","price":29.99,"currency_code":"USD","in_stock":true},{"title":"9'' x 12\" (Vertical) \/ Semi Glossy","offer_id":50961571610727,"sku":"29885323662498049676","price":19.99,"currency_code":"USD","in_stock":true},{"title":"18″ x 24″ (Vertical) \/ Fine Art","offer_id":50961571643495,"sku":"15725948920566627253","price":44.99,"currency_code":"USD","in_stock":true},{"title":"18″ x 24″ (Vertical) \/ Semi Glossy","offer_id":50961571676263,"sku":"37301297818649333262","price":29.99,"currency_code":"USD","in_stock":true},{"title":"18″ x 24″ (Vertical) \/ Matte","offer_id":50961571709031,"sku":"14684308695406414361","price":29.99,"currency_code":"USD","in_stock":true},{"title":"36'' x 48\" (Vertical) \/ Matte","offer_id":50961571741799,"sku":"81931382066781256893","price":69.99,"currency_code":"USD","in_stock":true},{"title":"36'' x 48\" (Vertical) \/ Fine Art","offer_id":50961571774567,"sku":"23362976071607632354","price":119.99,"currency_code":"USD","in_stock":true},{"title":"36'' x 48\" (Vertical) \/ Semi Glossy","offer_id":50961571807335,"sku":"30619624776646034254","price":69.99,"currency_code":"USD","in_stock":true}],"thumbnail_url":"\/\/cdn.shopify.com\/s\/files\/1\/0596\/8746\/9159\/files\/14179870388969639234_2048.jpg?v=1793632230","url":"https:\/\/pixelatedphysics.com\/products\/saffman-taylor-fingers-plate-010-physics-poster","provider":"Pixelated Physics","version":"1.0","type":"link"}