Bivariate spectral quasi-linearisation exploration of heat transfer in the boundary layer flow of micropolar fluid with strongly concentrated particles over a surface at absolute zero due to impulsive

The problem of unsteady micropolar fluid flow over a surface in which the heat energy falls at a lower limit of thermodynamic temperature scale due to impulsive is investigated. In this article, a new spectral method (BSQLM) for solving the partial differential equation is shown to unravel the heat transfer within the boundary layer. Some fluid layers at the free stream were given an impulsive motion in the horizontal direction. The thermal conductivity of the non-Newtonian fluid is assumed to be temperature dependent due to the influence of internal heat source; hence modified to suit the case of melting heat transfer following all the fundamental theories. The mathematical model was non-dimensionalised and parameterised using similarity transformation suitable to unravel the flow at short-time and long-time periods. Smooth transitions within the time frame 0 ≤ ξ ≤ 1 in the domain 0 ≤ η ≤ 1 are observed. The minimum temperature distribution is ascertained when the magnitude of Prandtl number is significantly large.