Abstract
This computational study intends to determine the impact of non-isothermal surface temperature on the natural convective boundary layerflow of fluid along a moving vertical cone. The governing equation deals with continuity, momentum, and energy along with thermal fluctuations are reduced into dimensionless unsteady non-linear coupled PDE. The non-dimensional governing equations of the boundary layer are then illuminated by a systematic and unconditionally stable method of implicit finite difference Crank-Nicolson scheme. Analyzing the stability and convergence of the system has helped in the optimization of parameters and accuracy of the system. Using a tabular approach, we validate the present numerical methodology by comparing it to the previously discussed results. Through a table of values, the physical impacts of parameters are analyzed and graphical representations are provided. From the graphs, it is evident that an increment in Pr and n results in lower temperature and velocity profiles.
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