Numerical study reveals the impact of convective boundary conditions on Casson nanofluid flow, showing how temperature and concentration vary with fluid parameters.
A numerical study was conducted to analyze the flow of Casson nanofluid, incorporating the effects of nanoparticles, viscous dissipation, chemical reactions, and thermal radiation under convective boundary conditions. Convective boundary conditions for temperature and nanoparticle concentration were incorporated in the problem formulation. The governing partial differential equations that model the problem were transformed into ordinary differential equations by applying similarity variables. Numerical solutions were obtained using the shooting method with a sixthorder Runge-Kutta scheme to solve the velocity, temperature, and nanoparticle concentration equations. The numerical simulation was implemented using Maple software. The findings are presented graphically and in tabularform to illustrate the impact of various flow parameters. The results were validated against existing studies in the literature, showing excellent agreement. It was observed that both temperature and nanoparticle concentration fields decrease as the Casson parameter increases. The temperature and concentration fields increase as the Biot number increases, attributed to thermal and concentration convective effects. Results show that both thermal and concentration boundary layer thicknesses increase with higher values of the thermophoresis parameter. It was also observed that temperature and concentration profiles decrease for larger values of the Brownian motion parameter. Furthermore, the study revealed that both fluid temperature and concentration rise with an increase in the chemicalreaction rate.
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Aroloye et al. (2025) studied this question.