UNSTEADY STAGNATION POINT FLOW WITH PARTIAL SLIP

Musah, S. 111 PAGES (17673 WORDS) Mathematics Thesis

The no-slip boundary condition at a solid-liquid interface is primarily to understanding fluid mechanics. However, this condition is an assumption that cannot be derived from first principles and could, in theory, be violated. In this work, we investigate numerically and theoretically the subject involving partial slip boundary conditions. The physical imagery that emerges is that of a complex behaviour at an unsteady hydromagnetic stretching solid interface, with stagnation point flow involving an interplay of many physico-chemical parameters of practical importance, including buoyancy forces informed by the orientation of the stretching sheet, unsteadiness of the flow, radiation effects, viscous dissipation , the partial slip effects, chemical reaction, mass diffusion, momentum diffusion,Lorentz force induced by the magnetic field and the velocity ratio.It is concluded that for this particular flow, the combined effects of these physico-chemical parameters are major determinants of the flow properties and must be carefully controlled to achieve desired results in practice.