Investigation of unified MHD boundary-layer flow of viscous fluid with variable viscosity and thermal conductivity using Haar wavelets

Document Type

Article

Publication Title

Cogent Engineering

Abstract

In this article, the boundary-layer problem of the flow of a viscous incompressible fluid due to the stretching of a sheet or over a moving wedge is modeled and a unified set of governing equations is derived. The motion of the wedge and the stretching of the sheet are approximated in terms of a power law with respect to the distance from the edge of the boundary layer. The viscosity and thermal conductivity of the fluid are assumed to vary with temperature. The velocity ratio parameter is used to unify the two different physical scenarios, and boundary conditions are implemented depending on the physical scenario. A computational scheme based on Haar wavelets is proposed for the numerical solution of the governing equations. The error and convergence rate for various resolution levels are discussed. The obtained numerical solutions reveal that the proposed method is effective and easy to use for solving higher-order nonlinear differential equations. This study addresses both theoretical and physical aspects of the modelled problem. Velocity boundary layer thickness grows with magnetic parameter, while thermal boundary layer gets thinner. The variable thermal conductivity parameter reduces thermal boundary layer thickness for the stretching sheet but increases it for the wedge.

DOI

10.1080/23311916.2025.2527215

Publication Date

1-1-2025

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