Mathematical Physics

   

The Method of Calculating the Velocity Field and Shear Stresses in Incomressible Fluid

Authors: V. A. Budarin

The velocity field culculation method is based on the use of two special cases of the Newtonian fluid motion equations, not including the Navier-Stokes equation. Two shear stress calculation ways are considered. The first way is the differentiation on the velocity field equation, and the second one requires the solution of the first-order differential equation. The second way provides the distribution of shear stresses for any continuous medium, including Newtonian fluid. Culculation equations for a laminar flow in a round pipe are found. It is shown that parabolic velocity distribution along the radius is a special case of more general equation. The factors affecting the shear stresses for the three flow models are found. Stresses are determined by the linear velocity gradients in the laminar flow. In the 3D vortex, they can be found by various equations, which include vorticity. Total stresses for the averaged turbulent flow are culculated by summing the previously found stresses. The equations of the method are incomplete and may be used for the accurate solution of simple problems.

Comments: 9 Pages. MSC 76D09

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Submission history

[v1] 2016-05-19 09:42:01

Unique-IP document downloads: 27 times

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