A variational formulation for steady two-dimensional laminar flow
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This paper presents a variational formulation for the steady two-dimensional laminar flow of an incompressible Newtonian fluid using cylindrical coordinates. All terms of the motion equation are considered without neglecting any term. The stationary condition of the formulation results in two sets...
This paper presents a variational formulation for the steady two-dimensional laminar flow of an incompressible Newtonian fluid using cylindrical coordinates. All terms of the motion equation are considered without neglecting any term. The stationary condition of the formulation results in two sets of symmetrical equations, where the correspondence with the equations of motion and continuity is demonstrated. The formulation is applied to the entrance region of long pipes, as an example, and a trial function is proposed. The results are compared with the numerical results from the literature, showing a good agreement
Fechado
DOI: https://doi.org/10.17654/FJAMDec2015_191_216
Texto completo: http://www.pphmj.com/abstract/9454.htm
A variational formulation for steady two-dimensional laminar flow
A variational formulation for steady two-dimensional laminar flow
Fontes
Far east journal of applied mathematics Vol. 93, no. 3 (Dec., 2015), p. 191-216 |