Multi-step differential transform method for both Hall currents and mixed convection effects on MHD flow of non-Newtonian fluid with Al2 O3 nanoparticles

Mixed convection MHD peristaltic flow of Prandtl nanofluid is constructed. A flow is affected by activation energy, hall current variable velocity slip conditions, and thermal radiation through a non-uniform channel. Governing equation describes the fluid model in a system of PDEs, and then non-dimensional quantities, and the assumption of long wavelength and low Reynolds number are used to obtain a system of ODEs. The leading system's results are constructed by an analytical method called a multi-stage differential transform method (Ms-DTM). All obtained graphical results are proposed in terms of y versus different fluid distributions. An analytical solution is shown through a table that offered a numerical interest result. Outcomes show that the growth in variable velocity slip causes a rise in fluid velocity distribution. Applications like drug carriers can get more opportunities through studies of the present system.