Unsteady bioconvective squeezing flow with higher‐order chemical reaction and second‐order slip effects

Abstract

In this investigation, the foremost aim is to study the impact of a higher‐order chemical reaction and second‐order slip on the bioconvective nanoliquid flow comprising gyrotactic microorganisms between two squeezed parallel plates. The existence of magnetic strength, thermophoretic, and Brownian migration is considered to model the flow. Similarity transformations are implemented to reduce our mathematical model into a set of nonlinear ordinary differential equations along with the requisite boundary conditions. The classical Runge‐Kutta‐Fehlberg method technique is employed to avail the numerical outcomes of the aforementioned nonlinear foremost equations correlated with the relevant boundary conditions. Parametric flow discussions, like, velocity profile, thermal profile, and heat and mass transport, have been portrayed through indispensable charts and graphs. Physical quantities, like, skin friction, Nusselt number, Sherwood number, and microorganism density number, have been estimated to analyze their numerous applications. The results communicate that temperature diminishes for squeezing factor and first‐order velocity slip parameter, but augments for second‐order slip parameter. Mass transport accelerates for chemical reaction but reduces for the order of reaction. Microorganism density number amplifies owing to chemical reaction and Peclet number while it decays for chemical reaction. This has advantageous applications in bio‐micro‐systems, bioreactors, biosensors, biochromatography, magnetic bioseparation devices, biocoating, and ecological fuels.

Significance of Thermophoretic and Brownian Motion on MHD Nanofluids Flow towards a Circular Cylinder under the Inspiration of Multiple Slips: An Industrial Application

“…Acharya et al [32] explored the impact of high-order chemical reaction and second-order slip on the bioconvective nanofluid involving of gyrotactic microorganism between two pressed parallel plates. For more relevant studies, see [33,34].…”

Unsteady squeezing flow of Cu-Al2O3/water hybrid nanofluid in a horizontal channel with magnetic field

“…Both Hayat et al 38 , 39 implemented the Buongiorno nanofluid model which indirectly examined any specific nanoparticles. Recently, Acharya et al 40 analyzed the simultaneous effects of chemical reaction, magnetic field, and second-order slip on the bioconvection nanofluid squeezing flow between two parallel plates. Meanwhile, interesting work of the squeezing hybrid nanofluid with Fe 3 O 4 -MoS 2 and the combination of water and ethylene glycol for the base fluid was conducted by Salehi et al 41 .…”

Insights into Partial Slips and Temperature Jumps of a Nanofluid Flow over a Stretched or Shrinking Surface

“…The effects of slips and temperature jumps have been studied separately in the literature [14][15][16][17][18], but their combined effort is more important for practical applications such as nuclear power plants, rockets, and space vehicles. Mansur et al [14] studied the flow of a nanofluid's boundary layer through a stretching/shrinking sheet with hydrodynamic and thermal slip boundary conditions.…”

“…The authors of ref. [16] concentrated on the unstable squeezing flow of a bioconvective nanofluid in the presence of gyrotactic microorganisms. The results show that the temperature decreases for the squeezing factor and first-order velocity slip parameter, but increases for the second-order slip parameter.…”