The Lie symmetry group transformation method was used to investigate the partial differential equations that model motion of a natural convective unsteady flow past non-isothermal vertical flat surface. one-parameter applied twice consecutively convert governing into system ordinary equations. obtained solved numerically using Lobatto IIIA formula (implicit Runge–Kutta method). effect Prandtl n...

The development of the quenching and partitioning (Q&P) process has prompted an interest in isothermal transformation presence a pre-existing phase such as martensite. prior martensite is known to accelerate overall kinetics bainite formation, both 1-step 2-step Q&P process. underlying mechanisms behind this phenomenon are not fully understood. Also, nature product (isothermal and/or bainite) f...