Activation Energy and Second Order Slip in Bioconvection of Oldroyd-B Nanofluid over a Stretching Cylinder: A Proposed Mathematical Model

Abstract

The thermal performances based on the interaction of nanoparticles are the topic of great interest in recent years. In the current continuation, we have utilized the activation energy and thermal radiation consequences in the bioconvection flow of magnetized Oldroyd-B nanoparticles over a stretching cylinder. As a novelty, the second order slip features (Wu’s slip) and convective Nield boundary assumptions are also introduced for the flow situation. The heat performances of nanofluids are captured with an evaluation of the famous Buongiorno’s model which enables us to determine the attractive features of Brownian motion and thermophoretic diffusion. The suggested thermal system is based on the flow velocity, nanoparticles temperature, nanoparticles volume fraction and motile microorganisms. The governing flow equations for the flow problem are constituted with relevant references for which numerically solution is developed via shooting algorithm. A detailed graphically analysis for the assisted flow problem is performed in view of the involved parameters. Although some studies are available in the literature which deals with the flow of various fluids over-stretching cylinder, the phenomenon of bioconvection and other interesting features are not reported yet. Therefore, present scientific computations are performed to fill this gap and the reported results can be more useful for the enhancement of thermal extrusion processes, solar energy systems, and biofuels.

A comprehensive study to the assessment of Arrhenius activation energy and binary chemical reaction in swirling flow

“…Khan et al 3 used convective Nield boundary conditions to investigate the rheology of couple stress nanofluid with activation energy, porous media, thermal radiation, gyrotactic microorganisms employing Buongiorno nanofluid model, in addition to, second-order velocity slip (Wu's slip). Tlili et al 4 presented a novel study about the flow, heat and mass transfer as well as motile microorganisms of magnetohydrodynamic Oldroyd-B nanofluid past a stretching cylinder. Alwatban et al 5…”

Aspects of Chemical Entropy Generation in Flow of Casson Nanofluid between Radiative Stretching Disks

“…Alwatban et al [ 12 ] interpreted the role of Wu’s slip in Eyring Powell nanofluid with additional impact of activation energy. A flow model regarding bioconvection of Oldroyd-B nanoliquid in existence of activation energy generated by stretched cylinder was suggested by Tlili and co-workers [ 13 ]. Waqas et al [ 14 ] reported some biofuels application associated with the flow of nanoparticles in presence of gyrotactic microorganisms.…”

Utilization of Second Order Slip, Activation Energy and Viscous Dissipation Consequences in Thermally Developed Flow of Third Grade Nanofluid with Gyrotactic Microorganisms

“…Another work based on the bioconvection of nanoparticles featuring activation energy and slip impact in flow of Eyring Powell non-Newtonian fluid has been analyzed by Alwatban et al [20]. Tlili et al [21] proposed a theoretical model for the stretched flow of Oldroyd B nanofluid in presence of gyrotactic microorganism. They also employed second-order slip features, namely Wu's slip, which leads to a truncation of associated boundary layers.…”