On the chronology of progress on thermal stability

Thermal Stability of a Reactive Hydromagnetic Poiseuille Fluid Flow through a Channel

“…The fundamental works in literature have clearly shown that a number of important fluids exhibit complex behavior and there is need to understand their characteristics. For instance, [1] studied the generic criterion for the thermal stability of heat transfer fluids that was derived by drawing a control volume around arbitrary heat transfer fluid and determined the conditions which cause the fluid temperature to be stable under the condition that the fluid temperature is uniform and the fluid flow is in a steady state. Also, [2] investigated the thermal stability for a reactive viscous flow of a third -grade fluid between two parallel plates with a uniform pressure gradient (Plane -Poiseuille flow).…”

“…Mathematically speaking, the thermal boundary layer equation for a reactive hydromagnetic fluid flow constitutes a nonlinear problem and long -term behaviour of the solutions which will provide us an insight into the complex physical process of thermal instability in the system as described in [1]. The theory of nonlinear differential equations is quite elaborate and their solution remains an extremely important problem of practical relevance in sciences and engineering.…”