article · Modern Physics Letters B
Numerical analysis investigates the behaviour of upper-convected non-Newtonian Maxwell nanofluids interacting with a linearly stretching sheet under stagnation point flow and slip conditions. The system incorporates heat generation, thermal radiation, and a transverse magnetic field. Governing partial differential equations are transformed into nonlinear ordinary differential equations and resolved using the shooting method. The model evaluates several dimensionless parameters, including velocity slip, magnetic number, Brownian motion, thermophoresis, and chemical reaction parameters, assessing their influence on fluid velocity, temperature, and concentration distributions. Numerical results capture skin-friction coefficients, local Sherwood numbers, and reduced local Nusselt numbers. The findings show that higher velocity slip parameters decrease both the local Nusselt and Sherwood numbers, signifying reduced heat and mass transfer rates. Additionally, strengthening the magnetic field lowers fluid velocity while raising both temperature and concentration levels across the flow field.
Understanding how non-Newtonian nanofluids behave near stretching surfaces provides valuable insights into complex heat and mass transfer mechanisms. By revealing how magnetic fields and slip phenomena govern thermal distribution and fluid speed, these theoretical insights assist researchers studying fluid dynamics and thermal management in environments influenced by electromagnetic fields, radiation, and chemical reactions.
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In this paper, we thoroughly examine the influences of slip effects and stagnation point flows in the context of an upper-convected non-Newtonian Maxwell nanofluid interacting with a stretching sheet. The existence of a heat generation, transverse magnetic field, and thermal radiation induces a flow resulting from a linearly stretched sheet. The application of the shooting method involves deriving nonlinear ordinary differential equations from the governing partial differential equations, followed by their solution. The effects of dimensionless governing parameters, including velocity ratio, Brownian motion parameter, thermophoresis parameter, velocity slip parameter, Lewis numbers, solutal slip parameter, Maxwell parameter, magnetic number, Eckert number, thermal slip parameter, chemical reactions parameter, and heat source parameter, are examined. The outcomes are illustrated and discussed through graphical representations, showcasing their impact on the velocity field, as well as heat and mass transfer characteristics. Tabular data are generated to display numerical values for physical parameters, including the skin-friction coefficient, local Sherwood number, and the reduced local Nusselt number. The findings suggest that an increase in the velocity slip parameter results in a reduction of both the local Sherwood number and the local Nusselt number. Furthermore, an increase in the strength of the magnetic field leads to a decrease in velocity profiles while simultaneously elevating temperature and concentration profiles.
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DOI: 10.1142/s0217984925501520
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