Next, using graphical representations, the impact of many emergent elements on the structure’s features is illustrated and thoroughly explored. Moreover, the assessment of errors and residual errors is incorporated to confirm the Runge-Kutta fourth-order technique (RK4) code’s correctness. Regarding the stability inquiry, there is a significant proven connection between the current investigation and previous research.
Laminar motion in an extending or decreasing porous tube or sheet has concerned the concentration of many investigators recently because of its use in biomedical and technical fields. The aim of this analysis is to examine how chemical reactions affect the flow of ferromagnetic nanofluid (NF) across an expanding or contracting permeable conduit while taking a source of heat into account. By adding a new variable, the controlling flow equations become first-order ordinary differential models, which are then statistically elucidated by the RK4.
The research indicates that the heat upsurges as the thermophoresis and Brownian motion parameters upturn. The analysis indicates that as the heat source increases, heat increases in both scenarios of wall extension and shrinkage; however, it declines in the situation of a heat sink. It is observed that as the quantities of Hartmann and Prandtl increase, the temperature upturns in the existence of a heat source and decreases when there is a heat sink.
The previously mentioned investigation presents evidence that there has been no prior inquiry into the effects of chemical processes on magnetohydrodynamic NF in the context of an extendable porous pipe that includes the influence of a heat source. This type of consideration holds significant value in the study of scientific and technological fields.
