MASS TRANSFER EFFECTS ON MHD BOUNDARY LAYER FLOW OVER AN UNSTEADY STRETCHING CYLINDER DUE TO SPACE DEPENDENT HEAT SOURCE

In this article important effort has been dedicated toward the learn about of warmth and mass switch for MHD boundary layer float evaluation previous an unsteady continually shifting stretching cylinder beseeching the restricted slip apparatus. Additionally we have analysed our exploration along with the presence of non-uniform warmth supply in the go with the flow field. Moreover first order chemical response is taken into account. The rising primary go with the flow associated non-linear equations have been solved mathematically by RK-4 strategy which consists of capturing procedure. The influence of pertinent parameters on speed and temperature silhouette has been pondered with bodily justification thru tables and graphs. Our research explores that the temperature escalates attributable to the improvisation of curvature parameter. The mass switch price is increased via bettering chemical response parameter.

MHD Boundary Layer Flow over a Stretching Sheet: A New Stochastic Method

In this study, a new computing model is developed using the strength of feed-forward neural networks with the Levenberg–Marquardt scheme-based backpropagation technique (NN-BLMS). It is used to find a solution for the nonlinear system obtained from the governing equations of the magnetohydrodyanmic (MHD) boundary layer flow over a stretching sheet. Moreover, the partial differential equations (PDEs) for the MHD boundary layer flow over a stretching sheet are converting into ordinary differential equations (ODEs) with the help of similarity transformation. A dataset for the proposed NN-BLMM-based model is generated at different scenarios by a variation of various embedding parameters: Deborah number β and magnetic parameter (M). The training (TR), testing (TS), and validation (VD) of the NN-BLMS model are evaluated in the generated scenarios to compare the obtained results with the reference results. For the fluidic system convergence analysis, a number of metrics, such as the mean square error (MSE), error histogram (EH), and regression (RG) plots, are utilized for measuring the effectiveness and performance of the NN-BLMS infrastructure model. The experiments showed that comparisons between the results of proposed model and the reference results match in terms of convergence up to E-02 to E-10. This proves the validity of the NN-BLMS model. Furthermore, the results demonstrated that there is a decrease in the thickness of the boundary layer by increasing the Deborah number and magnetic parameter. The importance of the experiment can be seen due to its industrial applications such as MHD power generation, MHD generators, and MHD pumps.

Wavelet-Based Numerical Solution for MHD Boundary-Layer Flow Due to Stretching Sheet

In this paper, a two-dimensional steady flow of a viscous fluid due to a stretching sheet in the presence of a magnetic field is considered. We proposed two new numerical schemes based on the Haar wavelet coupled with a collocation approach and quasi-linearization process for solving the Falkner-Skan equation representing the governing problem. The important derived quantities representing the fluid velocity and wall shear stress for various values of flow parameters M and β are calculated. The proposed methods enable us to obtain the solutions even for negative β, nonlinear stretching parameter, and smaller values of the magnetic parameter (M < 1) which was missing in the earlier findings. Numerical and graphical results obtained show an excellent agreement with the available findings and demonstrate the efficiency and accuracy of the developed schemes. Another significant advantage of the present method is that it does not depends on small parameters and initial presumptions unlike in traditional semi-analytical and numerical methods.