Abstract
A study is made on the development of hydromagnetic non-Newtonian Casson and Williamson boundary layer flow in an electrically conducting fluid in the presence of heat flux, mass flux, and the uniform magnetic field. The governing non-linear system of PDEs is transformed into a set of non-linear coupled ODEs and then treated numerically by using the Chebyshev spectral method. The velocity, temperature, and concentration fields of the steady boundary layer flow, which are generated by the stretched sheet with non-uniform thickness are discussed. The simultaneous ef-fects of the external magnetic field, Soret and Dufour phenomena with reference have been ex-plored. The characteristic features of the flow phenomena are examined in some detail. Also, the main emphasis in the text of this paper was given to the structure of the friction factor, heat and mass transfer rates. The effect of different parameters, namely, magnetic number, Soret, Dufour parameters, Casson parameter, and Williamson parameter on velocity, thermal, and concentration distributions are discussed with the help of graphs. Finally, it is observed that the velocity decreases with an increase in the magnetic parameter. In addition, for the temperature profiles, opposite be-havior is observed for increment in both the magnetic parameter and the Dufour parameter.