The College of Education for Pure Sciences at Basra University discussed a doctoral thesis under the title An approximate analytical method for solving heat transfer problems - fluid flow
The thesis presented by the student Abeer Majeed Jassim included a new technique for finding an approximate analytical solution to various fluid flow problems. This technique is used to solve nonlinear ordinary differential equations resulting from the transformation of partial differential equations covering fluid flow problems by way of analogy transfer.
The thesis aimed to produce a new efficient hybrid algorithm, which uses derivatives that appear as coefficients in a power chain as an important key in its construction. So we can call it the String Limit Derivative method, and we denote it as DSTM.
The thesis concluded the validity test of DSTM by applying its algorithm to several nonlinear fluid flow problems. It was found that the characteristics and qualitative behavior of the new algorithm solutions revealed improvements such as accuracy, computational efficiency and convergence.
The thesis recommended studying the effect of physical parameters on the approximate analytical solution of more difficult fluid flow problems such as compressed flow and heat transfer between two discs parallel to velocity sliding.