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This method could be successfully applied to the N-S model equations in polar coordinates.
Figure 6 Exact and numerical solutions of the 2D Navier Stokes' model equations in Cartesian coordinates.
The stochastic model equations in the present work are numerically solved using MATLAB.
Figure 8 Exact and numerical solutions of Navier Stokes' model equations in cylindrical polar coordinates in r - θ plane.
Figure 9 Exact and numerical solutions of Navier Stokes' model equations in cylindrical polar coordinates in r - z plane.
Figure 7 Exact and numerical solutions of Navier Stokes' model equations in spherical polar coordinates in r - θ plane.
Similar(22)
This is because IR is directly obtained by solving the haze image model equation in the second stage.
The usability of the model equation in a real engineering problem was also tested by a numerical solution of a differential equation obtained from the batch reactor.
The adequacy of the model equation in predicting optimum response values was verified effectively using experimental test data that was not used in the development of the model.
After prediction of model equation in RSM and training of artificial neurons in ANNs, the products were used for estimation of the response of the 27 experimental runs.
Independent variables were entered simultaneously with age into the model equation in order to make an adjustment for age.
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