{"author":"Luca Sbardella","title":"Potential flow around a cylinder","slug":"potential_flow_around_a_cylinder","date":"August 11, 2014","keywords":"flow, cylinder, incompressible, javascript, mathematics, math, fluid-dynamics, physics, d3","description":"The classic closed form solution for incompressible flow past a two-dimensional cylinder","image":"{{ assetUrl }}/lab/cylinder.png","category":"visualization","index":true,"contentType":"text/markdown","body":"\n\nThe image represents the stream function of an incompressible inviscid flow past a cylinder.\nThe stream function for this type of flow has a closed form solution in polar coordinates\n\n```math\n\\psi\\left(r,\\theta\\right) = V_{\\infty} \\left(\\frac{a^2}{r} - r\\right) \\sin{\\theta}\n```\n\nwhere `a` is the cylinder radius.\n\nVisialization using [d3](https://d3js.org/).\nCode available [here]({{ bundleUrl }}/lab/potential_flow_around_a_cylinder/transform.js).","paginate":true}