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The study investigates the combined impact of heat and mass transfer on a vertical plate, considering factors such as an applied magnetic field, thermal radiation, heat absorption, and a first-order chemical reaction. The fluid under examination is assumed to be an electrically conducting Cu-nanofluid based on water. Thermophysical properties are derived from Table 1 for both the base fluid (water) and nanoparticles (Cu), with the nanoparticle volume fraction chosen within the range of 0.01 to 0.02. A novel aspect of this study involves considering both passive and active control of the Maxwell nanofluid. The governing equations are solved using the Laplace transform technique to obtain uniform closed-form solutions. Graphical representations illustrate the velocity, temperature, concentration, and Bio-Convection profiles under various flow parameters. Remarkably, the velocity profile exhibits consistent behavior for both stationary η = 0 and moving η = 1 plates, as depicted in Figures 2–10. The obtained semi-analytical solutions successfully fulfill all initial and boundary conditions. Moreover, manipulating the nanoparticle volume fraction demonstrates significant control over the flow and heat transfer characteristics.
Garalleh et al. (Wed,) studied this question.