Abstract
The present article aims to investigate the behaviour of Maxwell–Sutterby fluid past an inclined stretching sheet accompanied with variable thermal conductivity, exponential heat source/sink, magneto-hydrodynamics (MHD), and activation energy. By utilizing the compatible similarity transformations, the nondimensionless PDEs are converted into dimensionless ODEs and further these ODEs are tackled with the help of the bvp4c numerical technique. To check the legitimacy of upcoming results and reliability of the applied bvp4c numerical scheme, a comparison with existing literature and nonlinear shooting method is made. The numerical outcomes delivered here show that the temperature profile escalates due to an augmentation in the heat sink parameter and moreover mass fraction field escalates on account of an improvement in the activation energy parameter.
Highlights
In recent years, the study of the phenomena like heat generation/absorption and temperature-dependent thermal conductivity has gained interest of the researchers
Carreau fluid flow under the effect of joule heating and heat source/sink was elucidated by Reddy et al [16] who determined that an augmentation in the Weissenberg number leads to an enrichment in the temperature distribution
Salawu and Dada [32] pondered the conduct of inclined magnetic field on incompressible fluid flow over a stretching medium with variable thermal conductivity and found that an escalation in the temperature profile occurred on account of an enrichment in thermal conductivity effect
Summary
Magnetic field inclination is the angle made with the horizontal by the magnetic field lines. Positive values of inclination indicate that the field is pointing downward, into the sheet surface. It is due to the fact that with an increase in angle of inclination α 0°, 45°, 60°, 90°, the effect of magnetic field on fluid particles increases which enhances the Lorentz force and depreciates the fluid flow. Temperature and concentration at the surface of the sheet are denoted by Tw and Cw, whereas ambient temperature and concentration are indicated by T∞ and C∞. E sheet temperature is Tw > T∞; fluid concentration is Cw > C∞. The effects like activation energy, exponential temperature-dependent heat source/sink, and variable thermal and molecular diffusivity are considered during mathematical formulation of the problem. Under the aforementioned assumptions and after utilizing the necessary boundary layer approximations the Cartesian form of governing equations regarding continuity, momentum, energy, and concentration are enumerated underneath [10, 13]: zu zυ zx + zy 0,
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