article · International Journal of Thermofluids
This research presents a mathematical investigation into the boundary layer flow of an electrically conducting nanofluid moving over a vertically stretching surface. The system incorporates multiple slip conditions alongside Soret and Dufour effects, accounting for buoyancy forces, magnetic fields, medium porosity, thermal radiation, heat sources, and chemical reactions. Using suitable mathematical transformations, the governing partial differential equations were solved analytically through an optimal homotopy analysis method. The model evaluates the behaviour of dimensionless velocity, temperature, and nanoparticle concentration, as well as rates of momentum, heat, and mass transfer. Findings demonstrate that raising the velocity slip parameter accelerates the fluid motion, whereas a stronger Soret effect increases the concentration of magnetic nanoparticles near the stretching sheet. The analytical solutions also demonstrate strong agreement with previous benchmark studies under standard assumptions.
Understanding fluid dynamics and heat transfer in magnetic nanofluids allows researchers to predict how complex fluids behave across varied thermal environments. By capturing the interplay between thermal radiation, magnetic forces, and chemical processes, these mathematical models offer foundational tools for predicting fluid flow and temperature changes without relying solely on expensive physical trials.
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This paper presents a mathematical analysis of multiple slip, Soret and Dufour effects in a boundary layer flow of an electrically conducting nanofluid over a vertically stretching sheet. The flow situation has been described mathematically by using partial differential equations. Suitable transformations are utilized to make the model equation convenient for computation. An efficient optimal homotopy analysis method has been implemented successfully to obtain analytic approximations to the unknown functions in the flow problem. The influences of wall slip parameters, porosity of the medium, Buoyancy forces, magnetic field, thermal radiation, Soret and Dufour effects, heat source and chemical reaction parameters are examined in detail. The variations of the dimensionless velocity, temperature and concentration profiles in relation to the emerging parameters are explored intensively. The rates of momentum, heat and mass transfer near the stretching surface are also studied against the pertinent parameters. The study reveals that the increase in velocity slip parameter speeds up the fluid motion and increasing the Soret effect raises concentration of nanoparticles near the stretching sheet. Further, the analytic approximations for the solutions of the present model obtained by implementing the optimal homotopy analysis method are found in a very good agreement with some early works under common assumptions.
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DOI: 10.1016/j.ijft.2022.100136
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