Non-Newtonian nanofluid flow across an exponentially stretching sheet with viscous dissipation: Numerical study using a SCM based on Appell-Changhee polynomials

Abstract The purpose of this research is to examine the effects of heat generation, viscous dissipation, and magnetic field on the characteristics of non-Newtonian Williamson nanofluid flow caused by an exponential stretching sheet implanted in a porous media. The process of heat transfer is examined while taking into account how the temperature affects the thermal conductivity as well as the viscosity of the Williamson nanofluids. Also, the analysis of their flow performances under the influence of slip velocity was the study’s main contribution. Using the spectral collocation technique (SCM), the equations that describe the current problem are transformed into a collection of ordinary differential equations and then solved. The spectral collocation method (SCM) proposed here basically depends on the properties of the Appell-type Changhee polynomials (ACPs). First, with the aid of ACPs, we develop an approximate derivative formula. Through this procedure, the provided model is transformed into a nonlinear set of algebraic equations. Physical factors of interest, such as skin friction, the Nusselt number, and the Sherwood number, are explained using tabular expressions. Data are displayed as graphs for the nanofluid’s velocity, temperature, and concentration. The primary findings showed that, increasing the Williamson, the magnetic, thermal conductivity and Brownian parameters significantly improves the thermal field. Finally, testing the suggested method with specific cases from some past literature-based publications reveals a good degree of agreement.