Objectives:The present article investigates the steady flow of hydromagnetic Casson fluid flow past an inclined stretched sheet with the existence of nonlinear radiation and Joule heating effects. Methods: A numerical model is established and then solved using the BVP4c MATLAB technique. Findings: In this present work we described about the influence of the Grashof number, non-uniform heat source, Biot number, Casson fluid parameter, hydrodynamics, nonlinear radiation, chemical reaction, local Grashof number and Schmidt number parameters on the flow of mass and rate of heat transport was discussed through tabular result and graphs. It is clear that the rate of heat transport decreases with Joule heating and is higher with an increase in Biot numbers. Increases the amount of thermophoresis parameter and decreases with the rate of heat transport. Novelty: To the best extent of the authors' belief so far, no attempt is made to inspect the flow, thermal and mass transfer of uneven heat sink/source and non-linear radiation on hydromagnetic and embedded with the viscous dissipation, thermophoresis, Brownian diffusion, Joule heating and Casson fluid.
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