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  2. Fuller calculator - Wikipedia

    en.wikipedia.org/wiki/Fuller_calculator

    The Fuller calculator, sometimes called Fuller's cylindrical slide rule, is a cylindrical slide rule with a helical main scale taking 50 turns around the cylinder. This creates an instrument of considerable precision – it is equivalent to a traditional slide rule 25.40 metres (1,000 inches) long. It was invented in 1878 by George Fuller ...

  3. Shell integration - Wikipedia

    en.wikipedia.org/wiki/Shell_integration

    Much more work is needed to find the volume if we use disc integration. First, we would need to solve y = ( x − 1 ) 2 ( x − 2 ) 2 {\displaystyle y=(x-1)^{2}(x-2)^{2}} for x . Next, because the volume is hollow in the middle, we would need two functions: one that defined an outer solid and one that defined the inner hollow.

  4. Decanter centrifuge - Wikipedia

    en.wikipedia.org/wiki/Decanter_Centrifuge

    The feed product is pumped into the decanter centrifuge through the inlet. Feed goes into a horizontal bowl, which rotates. The bowl is composed of a cylindrical part and a conical part. The separation takes place in the cylindrical part of the bowl. The fast rotation generates centrifugal forces up to 4000 x g. Under these forces, the solid ...

  5. Solid of revolution - Wikipedia

    en.wikipedia.org/wiki/Solid_of_revolution

    Two common methods for finding the volume of a solid of revolution are the disc method and the shell method of integration.To apply these methods, it is easiest to draw the graph in question; identify the area that is to be revolved about the axis of revolution; determine the volume of either a disc-shaped slice of the solid, with thickness δx, or a cylindrical shell of width δx; and then ...

  6. Disc integration - Wikipedia

    en.wikipedia.org/wiki/Disc_integration

    t. e. Disc integration, also known in integral calculus as the disc method, is a method for calculating the volume of a solid of revolution of a solid-state material when integrating along an axis "parallel" to the axis of revolution. This method models the resulting three-dimensional shape as a stack of an infinite number of discs of varying ...

  7. Storage tank - Wikipedia

    en.wikipedia.org/wiki/Storage_tank

    Capacity table for horizontal cylindrical storage tank [3] In order for volume measurements from the tank to be used, it typically has a capacity table created using appropriate standards. [3] Each row of capacity table contains fill level value and corresponding volume value (and other related data).

  8. Vorticity equation - Wikipedia

    en.wikipedia.org/wiki/Vorticity_equation

    The vorticity equation of fluid dynamics describes the evolution of the vorticity ω of a particle of a fluid as it moves with its flow; that is, the local rotation of the fluid (in terms of vector calculus this is the curl of the flow velocity). The governing equation is: where ⁠D Dt⁠ is the material derivative operator, u is the flow ...

  9. Volume of an n-ball - Wikipedia

    en.wikipedia.org/wiki/Volume_of_an_n-ball

    The volume of the n-ball () can be computed by integrating the volume element in spherical coordinates. The spherical coordinate system has a radial coordinate r and angular coordinates φ 1 , …, φ n − 1 , where the domain of each φ except φ n − 1 is [0, π ) , and the domain of φ n − 1 is [0, 2 π ) .