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The main goal of this study is to analyze the nanofluid boundary layer as it flows over a bidirectional, exponentially extending sheet in both convective and magnetic field environments. The mathematical model considers the results of Brownian motion and particle movement caused by a temperature gradient. Using appropriate similarity transformations, governing partial differential equations are converted into ordinary differential systems, and the design of equations is then solved using the Haar wavelet collocation approach. The findings identify unique trends in the distribution of temperature and show relationships with particular sets of parametric values. These results emphasize how important it is to note temperature fluctuations associated with specific parametric settings. The findings are validated by contrasting the results with similar cases from earlier studies in the literature. The findings indicate that temperature distribution is reduced by increasing the Prandtl number. Additionally, the local Biot number has qualitatively similar effects on temperature and concentration profiles. For higher local Biot numbers, the profiles of concentration and temperature are better.

open physics

Mononuclear nanofluids undergoing convective heating across a stretching sheet and undergoing MHD flow in three dimensions: Potential industrial applications