Analyze the Flow Behavior for MHD Power-Law Fluids

Objective: This study investigates the Numerical solution of laminar boundary layer flow Magnetohydrodynamics (MHD) model for power-law fluid over a continuous moving surface in presence transverse magnetic. Methods: The governing partial differential equation was transformed into non-linear ordinary using Group theoretic method. Firstly, we convert this (ODE) linear by quasilinearization process. ODE solved numerically applying Spline collocation method suggested Bickley. Findings: displacement profile and velocity were obtained as functions magnetic parameters. effect parameters discussed graphically. We used MATLAB software finding outcomes. Novelty: main goal article is to analyze Magneto hydrodynamics conservation equations mass, momentum energy are converted along with conditions appropriate similarity transformations Collocation Method. convergence solutions important providing developing solutions, which benefit These research findings applicable, example, predicting skin friction heat transfer rate stretching sheet, has implications technological manufacturing industries such polymer extrusion. Comparisons previously published works made, results show high level agreement. type applicable work fire dynamics insulation, solar collection systems, recovery petroleum products, etc. Keywords: Power-Law Fluids; Magnetic Field; Nonlinear Differential Equation; Quasilinearization; Bickley’s Method; Linear Equations