article · Defect and diffusion forum/Diffusion and defect data, solid state data. Part A, Defect and diffusion forum
This research provides analytical and numerical solutions for magnetohydrodynamic flow and heat transfer involving non-Newtonian third-grade nanofluids. The study models fluid behaviour across both plane Couette and plane Poiseuille flows, accounting for magnetic fields, thermal radiation, inclination, and nanoparticle volume fractions with a water and single-walled carbon nanotube mixture. Using the Akbari-Ganji Method alongside verification from established numerical solvers, the analysis assesses how key dimensionless parameters influence system performance. The findings show that stronger magnetic fields markedly reduce fluid velocity. In addition, changes to thermal radiation, Brinkman numbers, viscoelastic properties, and gravitational parameters produce distinct and sometimes opposing shifts in fluid velocity and temperature distributions, establishing a verified analytical model for complex fluid transport.
Understanding how magnetic fields, radiation, and nanoparticles change the flow and temperature of complex liquids is essential for advancing fluid dynamics. Developing accurate mathematical solutions helps scientists predict liquid behaviour under extreme conditions without relying solely on computationally heavy simulations, clarifying how multiple physical forces interact in thermal systems.
This work represents early-stage fundamental research providing mathematical tools for fluid dynamics and heat transfer. While the solutions could theoretically assist engineers modelling advanced cooling systems or industrial magnetohydrodynamic processes involving nanofluids, the abstract does not indicate a direct commercial application pathway or specific industry testing.
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In the present study, an analytical solution for MHD flow-heat transfer highly non-linear equations of non-Newtonian third-grade nanofluid is established using the AGM method while considering the effect of the magnetic field, the radiation heat transfer, the inclination and the nanoparticles fraction. From dimensionless analysis, the main characteristic parameters are identified, specifically the viscoelastic parameter, the magnetic parameter, the gravitational parameter, the generalized pressure gradient, the thermal radiation parameter, the Brinkman number and the Hamilton number. Two classes of problems, namely, plane Couette flow and plane Poiseuille flow, are considered. Validation was conducted using results from established numerical methods, including Mathematica software, the Adomian Decomposition Method (ADM), and BVP4C solver to benchmark our findings derived via the Akbari Gangi Method. The comparative analysis reveals the reliability and accuracy of the established analytical solutions. The effect of the main parameters of water-SWCNT nanofluid on velocity and temperature profiles are graphically illustrated and discussed. The main results reveal that increasing a magnetic parameter results in a significant drop in the velocity. Furthermore, the rise in Brinkman's number and the radiation parameter affect the temperature differently. Additionally, the viscoelastic and gravitational parameters have opposite velocity and temperature effects. The results demonstrate the complex interaction between several physical characteristic parameters in the fluid dynamics and heat transfer processes. The efficient and highly accurate series-based analytical solutions for flow velocity and temperature obtained through the Akbari-Ganji Method provide valuable insights and are a powerful tool for addressing similar problems in fluid dynamics and heat transfer.
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DOI: 10.4028/p-25jgsj
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