Talk:Tortuosity

can some one explain tortuosity in hydraluic fracturing thanks,

Clifford

In Elements of Dynamic on page 76 one reads: "When a curve does not lie in one plane (in which case it is called a tortuous curve), a more complex machinery is required to describe it. We must then take a point, a straight line through the point, and a plane through the straight line ; and let them all move together so that the point moves along the line, the line turns round the point in the plane, and the plane turns round the line. The point is then a point on the curve, the line is the tangent at that point, and the plane is called the osculating plane at the point. The curvature is, as before, the rate of turning round of the tangent per unit of length ; and, in addition, the rate per unit of length at which the osculating plane turns round the tangent line is called the tortuosity." The notion is expanded at torsion of a curve. Accordingly, a hat note to that article has been placed. Rgdboer (talk) 02:20, 25 December 2025 (UTC)