The College of Science in the Department of Mathematics discussed a seminar entitled (Numerical algorithm to simulate thermal non-Newtonian fluid flows) for postgraduate student Bashaer Kadhim Jasim. The seminar aims to present a highly accurate and efficient numerical algorithm for solving complex fluid flow problems. It addresses the challenges related to non-isothermal flows of non-Newtonian fluids, which are commonly encountered in diverse industrial processes under varying thermal boundaries and stick-slip conditions.