Abstract
A theoretical analysis has been to draw out the flow characteristics of natural convective nanofluid flow along an exponentially accelerating vertical plate in the presence of magnetic field. Three different types of water-based nanofluids containing copper, silver and copper oxide are considered. The governing equations are transformed into dimensionless form and tackled with the usual time-frequency Laplace transform technique as well as by the Runge Kutta-4th order method with shooting technique. The impacts of various parameters on the heat transfer characteristics and nanofluid flow transportwith joule heating, thermal radiation, heat generation/absorption, and nanoparticle volume concentration have been studied through graphs. It is found that the velocity profiles are remarkably higher when the magnetic force is fixed relative to the plate compared to the fluid.
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