article · Heliyon
This study investigates the movement and heat transfer behaviour of a non-Newtonian Maxwell fluid passing over a permeable stretching surface within a porous medium. The model accounts for exponentially temperature-dependent fluid viscosity alongside the Cattaneo-Christov heat flux formulation, which is relevant for substances with high thermal conductivity or rapid processes. Additional physical factors integrated into the analysis include a magnetic field, thermal radiation, viscous dissipation, and slip conditions for both velocity and temperature. The governing flow equations were converted into non-linear ordinary differential equations using similarity transformations and subsequently solved numerically through a shooting technique. The results show that thermal radiation and the Eckert number exert a similar enhancing effect on the system, whilst the thermal relaxation parameter and thermal slip parameter display opposing influences on heat transfer dynamics.
Understanding how complex fluids behave under heat, radiation, and magnetic fields is vital for processes involving rapid heating or cooling. By examining how fluid thickness alters with temperature and how heat disperses through porous materials, this theoretical work clarifies how operational factors like radiation and slip influence thermal distribution during continuous material stretching operations.
This work represents early-stage fundamental numerical research. The findings could potentially inform engineers designing processing equipment for polymer extrusion, cooling systems, or porous heat exchangers that utilise non-Newtonian fluids. However, the abstract outlines purely mathematical modelling and simulation solved via the shooting technique, meaning the research is far from real-world use and requires extensive experimental validation before practical application.
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The objective of this paper is to examine the flow of a non-Newtonian Maxwell fluid induced by a permeable stretching sheet in motion within a porous medium. The research incorporates the Cattaneo-Christov heat flux model to study the heat transfer process. The utilization of the Cattaneo-Christov heat flux approach becomes relevant in scenarios involving materials with high thermal conductivity or during short time intervals. Consequently, the current investigation holds significant importance. It is assumed that the viscosity of the Maxwell fluid changes exponentially as the temperature changes. The modeling of the physical phenomena being investigated takes into account the effects of a magnetic field, thermal radiation, velocity, and thermal slip conditions. In this study, the viscous dissipation phenomenon is taken into account because it can have notable impacts on the temperature and viscosity of the fluid, and is known to play a crucial role in fluid flow phenomena. The equations developed to model fluid flow are transformed into nonlinear ordinary differential equations through the use of appropriate similarity transformations. The focus of the research revolves around investigating the numerical solution of ordinary differential equations accompanied by boundary conditions using the shooting technique. The findings are then showcased via tables and graphs and scrutinized in order to arrive at conclusions. Furthermore, the precision of the present findings was evaluated by contrasting the heat transfer rate with outcomes that were previously published. Based on the obtained outcomes, it can be concluded that both the Eckert number and thermal radiation have a comparable enhancing influence, whereas the thermal relaxation parameter and thermal slip parameter exhibit opposing effects.
This page summarises published work. The authoritative version sits with the publisher.
DOI: 10.1016/j.heliyon.2023.e22740
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