Perturbation and numerical solutions of non-Newtonian fluid bounded within in a porous channel: Applications of pseudo-spectral collocation method

In the current study, the effects of fluidic parameters with entropy generation properties on velocity, temperature, and entropy numbers of non-Newtonian fluid flowing through the porous channel are investigated. The complex system of fluid equations is handled with analytically and numerically. The first-order perturbation expansion is employed on both velocity and temperature to obtain the approximate analytical solution. A comparison of the analytical solution is made with numerical results that are obtained by discretizing the system of boundary value problems. The pseudo-spectral collocation method was used for the discretization, and the Newton method was to get the solutions to the complex differential equations. In the Newton method, the finite difference approximation of Jacobian is utilized. The pseudo-spectral solutions are in good agreement with the analytical findings. The order of accuracy in temperature and velocity profiles is of order 10⁻⁶ which will be compared in the future with the experimental results of given non-Newtonian fluid.