The College of Education for Pure Sciences, Department of Mathematics, organized a scientific lecture on a new approximate analytical method for solving fluid flow problems
The lecture presented by the researcher (Yasser Ahmed Abdel Amir) included: In this work, the homotopic perturbation method (HPM) and the Fourier transform (FT) were combined to build a hybrid method based on the property of convolution theory as a tool to facilitate calculations. This method can be represented by the symbol (FTC-HPM). . The new algorithm was applied to obtain approximate solutions for the two-dimensional normal load between two horizontal concentric circular cylinders analytically, and both cylinders were treated at different uniform temperatures. The effect of Rayleigh number, Brentel number and radius change on fluid (air) flow and heat transfer was studied at different values. Furthermore, the velocity distributions are explained and discussed. In addition, the Nusselt number is calculated, where the local and global heat transfer rates are represented by the appropriate Nusselt numbers. The convergence of the new method was also discussed experimentally by applying convergence theory to the results of the solutions obtained. Furthermore, tables and graphs of the new analytical solutions demonstrate the possibility and utility of using the new algorithm to deal with many nonlinear problems, especially natural convection problems.