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Approach to analytic solution of navier-stokes equation utilizing adomian decomposition method, jet impinging flow application

Najafi, M ; Sharif University of Technology | 2006

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  1. Type of Document: Article
  2. Publisher: 2006
  3. Abstract:
  4. Adomian decomposition method was employed to obtain an approximate solution to two-dimensional and axisymmetric jet impinging flows in this work. Assumptions have been made to reduce the related full Navier-Stokes equations to a non-linear ordinary differential equation. A trial and error strategy has been used to obtain the constant coefficient in the approximated solution. Velocity Profiles, Shear stresses and displacement thickness were chosen to be compared with accurate numerical data. Sensitivity of the results to the number of terms have been discussed. The results showed for open boundary problems having at least one boundary condition at infinity, the applicable range of the solution must be indicated. The results showed that the ADM is a high performance and accurate method to solve such flow equations
  5. Keywords:
  6. Boundary conditions ; Flow of fluids ; Jets ; Nonlinear equations ; Ordinary differential equations ; Sensitivity analysis ; Shear stress ; Velocity ; Jet impinging flow ; Two-dimensional flow ; Navier Stokes equations
  7. Source: WSEAS Transactions on Mathematics ; Volume 5, Issue 5 , 2006 , Pages 507-514 ; 11092769 (ISSN)
  8. URL: https://www.researchgate.net/publication/288442896_Approach_to_analytic_solution_of_navier-stokes_equation_utilizing_adomian_decomposition_method_jet_impinging_flow_application