Creeping Flow of Carreau Fluid Through a Porous Slit

Abstract We will investigate the creeping flow of a Carreau incompressible fluid through a slit with uniformly porous walls. Non-dimensionalization is used to represent the controlling two-dimensional flow equations and non-homogeneous boundary conditions. The resulting equations are solved using a recursive method. Equations are developed for the stream function, velocity components, volumetric flow rate, pressure distribution, shear and normal stresses on the slit wall as well as in general, fractional absorption, and leakage flux. Moreover, maximum velocity component points are noted. This topic offers a mathematical foundation for comprehending the physical phenomenon of fluid flows via slit walls, which occurs in a variety of issues such as biological systems, gaseous diffusion, and filtration.