A fractal model for thermal analysis of newtonian fluid to forecast thermal behavior

The irregular geometry at all scales of measurement for thermal analysis refers to the thermal fractal models which are suitable to resolve the empirical problems related to heat transport properties. Using the fractal mathematical model of Caputo differential operator, an innovative free convection Newtonian fluid model is proposed and investigated numerically by means of fractal as well as fractional approach. The governing equation of velocity field is established via fractal and fractional domains and then tackled for solution by means of fractal Laplace transforms. The profile of velocity field for heat transfer characteristics is studied in separate fractal and fractional domains and combined fractal as well as fractional domains. The heat transfer characteristics have been emphasized under statistical analysis and mathematical expectations. The obtained numerical and statistical results demonstrate the positive impact of applying the fractal domain to enhance the heat transference process.