Fractional Nadeem trigonometric non-Newtonian (NTNN) fluid model based on Caputo-Fabrizio fractional derivative with heated boundaries

Abstract The fractional model of Caputo-Fabrizio derivative in various physical flow problems has significant advantages with its implementations in manufacturing and engineering fields. This fractional derivative model provides realistic solutions to the flow system. Therefore, the current study has the main objective of implementation of Caputo-Fabrizio fractional derivative on the flow phenomenon of trigonometric non-Newtonian fluid. The time-dependent flow mechanism is assumed to be developed through a vertical infinite plate. The thermal radiation’s effects are incorporated into the analysis of heat transfer. With the help of mathematical formulations, the physical flow system is expressed. The governing equations of the flow system acquire the dimensionless form through the involvement of the dimensionless variables. The application of Caputo-Fabrizio derivative is implemented to achieve the fractional model of the dimensionless system. An exact solution of the fractional-based dimensionless system of the equations is acquired through the technique of the Laplace transform. Physical interpretation of temperature and velocity distributions relative to the pertinent parameters is visualized via graphs. The current study concludes that the higher values of fluid parameter improve the velocity field. Moreover, both distributions exhibit an accelerating nature corresponding to the order of the fractional operator.