Similarity solution of boundary layer flows for non-Newtonian fluids

Abstract

The present paper deals with the analysis of similarity solutions of the two-dimensional boundary layer flow of a power-law non-Newtonian fluid past a semi-infinite flat plate. The boundary value problem of the momentum equation is converted into an initial value problem using a Töpfer-like transformation. The dimensionless wall gradient is determined numerically. The existence of the power series solutions for the problem is presented and the convergence radius of the proposed solutions is estimated.

Self-Similar Analytic Solution of the Two-Dimensional Navier-Stokes Equation With a Non-Newtonian Type of Viscosity

“…This theorem has been successfully applied to the determination of local analytic solutions of different nonlinear initial value problems [18]- [20]. Let us consider the initial value problem (11), (17) and take its solution in the form…”

Stability Analysis for a Fractional HIV Infection Model with Nonlinear Incidence

“…According to the theoretical analysis and the experimental data or results, they found that the fractional model is more reasonable to describe these processes [1]. Afterwards, many mathematicians and applied researchers also have tried to demonstrate applications of fractional differentials in the areas of non-Newtonian fluids [2], signal processing [3][4][5], viscoelasticity [6,7], fluid-dynamic traffic model [8], colored noise [9], bioengineering [10], solid mechanics [11], continuum and statistical mechanics [12], and economics [13] and brought new research view for those fields.…”

A new method for solving boundary value problems for partial differential equations

“…In order to solve PDEs more effectively using the variational iteration method, we will convert PDEs into ODEs using Lie transformations [12,13] so that the variational iteration method can be easily applied. In order to illustrate the basic idea of the symmetry-iteration hybrid algorithm, we consider the boundary layer viscous flow over a stretched impermeable plate, governed by…”