Mathematical modeling reveals dual solutions for stagnant flow in hybrid nanofluids with velocity and thermal slips.
Abstract The enhanced thermal efficiency of hybrid nano-fluids has significant real world applications in numerous industrial and engineering fields. The current paper deals with the mathematical modelling and numerical evaluations of combined convection stagnant flow with MHD of a copper-aloxide/water hybrid nano-fluid across an anti-logarithmically shrinking or stretching sheet under the established conditions of velocity and thermal slips. The momentum, continuity and energy equations that described the flow of the fluid problem are converted into simpler form of ordinary differential equations(ODEs) with the aid of adequate similarity transformations. The turned ODEs are solved by numerical schemes with the help of the bvp4c (MATLAB software). The possession of different governing parameters like nano-particle volume fraction, Hartmann number, suction/injection parameter, velocity slip and thermal slip on velocity and temperature distributions are discussed and analyzed graphically. It is found that dual solutions exist for both assisting and opposing flows. Results from this study were compared to those previously in the literature, and they were determined to be quite consistent.
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Palmur et al. (2025) studied this question.
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