Anisotropic slip magneto-bioconvection flow from a rotating cone to a nanofluid with Stefan blowing effects

A mathematical study is described to examine the concurrent influence of thermal radiation and thermal wall slip on the dissipative magnetohydrodynamic electro‐osmotic peristaltic propulsion of a viscous nanoliquid in an asymmetric microchannel under the action of an axial electric field and transverse magnetic field. Convective boundary conditions are incorporated in the model and the case of forced convection is studied, that is, thermal and species (nanoparticle volume fraction) buoyancy forces neglected. The heat source and sink effects are also included and the diffusion flux approximation is employed for radiative heat transfer. The transport model comprises the continuity, momentum, energy, nanoparticle volume fraction, and electric potential equations with appropriate boundary conditions. These are simplified by negating the inertial forces and invoking the Debye–Hückel linearization. The resulting governing equations are reduced into a system of nondimensional simultaneous ordinary differential equations, which are solved analytically. Numerical evaluation is conducted with symbolic software (MATLAB). The impact of different control parameters (Hartmann number, electro‐osmosis parameter, slip parameter, Helmholtz–Smoluchowski velocity, Biot numbers, Brinkman number, thermal radiation, and Prandtl number) on the heat, mass, and momentum characteristics (velocity, temperature, Nusselt number, etc) are presented graphically. Increasing Brinkman number is found to elevate temperature magnitudes. For positive Helmholtz–Smoluchowski velocity (reverse axial electrical field) temperature is strongly reduced, whereas for negative Helmholtz–Smoluchowski velocity (aligned axial electrical field), it is significantly elevated. With increasing thermal slip, nanoparticle volume fraction is also increased. Heat source elevates temperatures, whereas heat sink depresses them, across the microchannel span. Conversely, heat sink elevates nanoparticle volume fraction, whereas heat source decreases it. Increasing Hartmann (magnetic) parameter and Prandtl number enhance the nanoparticle volume fraction. Furthermore, with increasing radiation parameter, the Nusselt number is reduced at the extremities of the microchannel, whereas it is elevated at intermediate distances. The results reported provide a good insight into biomimetic energy systems exploiting electromagnetics and nanotechnology, and, furthermore, they furnish a useful benchmark for experimental and more advanced computational multiphysics simulations.

B r (= Pr E c)

again for both cases of heat source

(β = 2)

and heat sink (

β = - 2

).…”

Section: Computational Results and Physical Interpretationsupporting

confidence: 83%

Thermal slip and radiative heat transfer effects on electro‐osmotic magnetonanoliquid peristaltic propulsion through a microchannel

Prakash¹,

Siva

Tripathi

et al. 2019

“…The bioconvection nanofluids flow in the presence of various thermophysical properties, as attempted by Begum et al and Waqas et al, addressed the nature of the stratified flow of nanomaterial with the suspension of gyrotactic microorganisms. Zohra et al focused on bioconvection anisotropic slip boundary layer flow of viscous over rotating spinning cone. Uddin et al implemented a famous numerical technique namely Chebyshev collocation method to analyze rheological behavior of Newtonian fluid in the presence of microorganism species slip.…”

Section: Introductionmentioning

confidence: 99%

Radiative flow of Maxwell nanofluid containing gyrotactic microorganism and energy activation with convective Nield conditions

Waqas

Khan

Shehzad

et al. 2019

Section: Introductionmentioning

confidence: 99%

“…This mobility of microorganisms is simulated by various stimulators such as chemotaxis, photosynthesis, gyrotactic, and so on. Many recent advancements on this topic can be visualized through Kuznetsov et al [22][23][24][25][26][27][28][29][30][31][32][33][34][35][36] Recently, the activation energy has attained the interests of engineers, which was originally proposed by Arrhenius in 1889. This is known as base energy supplied to reactants in chemical processing for the conversion of products.…”

mentioning

confidence: 99%

Significance of the nonlinear radiative flow of micropolar nanoparticles over porous surface with a gyrotactic microorganism, activation energy, and Nield's condition

Waqas

Khan

Shehzad

et al. 2019

Current continuation presents the numerical study regarding stretched flow micropolar nanofluid over moving the sheet in the existence of activation energy and microorganisms. Furthermore, nonlinear aspects of thermal radiation are also utilized in the energy equation which results in the energy equation becomes highly nonlinear. This investigation has been performed by using convective Nield boundary conditions. First, useful dimensionless variables are implemented to reduce the partial differential into ordinary ones. Later on, the approximate solution of the transformed physical problem is computed by using the shooting scheme. A detailed physical interpretation of obtained results is also presented for velocity, temperature, motile microorganisms density, and mass concentration profiles. A detailed graphical explanation for each engineering parameter has been discussed for some specified range like 0 goodbreakinfix≤ K 1 goodbreakinfix≤ 1.5 , 0.1 goodbreakinfix≤ m goodbreakinfix≤ 0.7 , 0.1 goodbreakinfix≤ K goodbreakinfix≤ 0.7 , 0.1 goodbreakinfix≤ N t goodbreakinfix≤ 2.4 , 0.1 goodbreakinfix≤ γ goodbreakinfix≤ 0.4 , 1.0 goodbreakinfix≤ italicPr goodbreakinfix≤ 1.8 , 0.4 goodbreakinfix≤ R d goodbreakinfix≤ 1.0 , 0.2 goodbreakinfix≤ N b goodbreakinfix≤ 0.8 , 0.1 goodbreakinfix≤ E goodbreakinfix≤ 7.0, and 0.4 goodbreakinfix≤ L b goodbreakinfix≤ 1.0 . The theoretical computations based presented here can be more proficient to attain the maximum efficiency of various thermal extrusion systems and microbial fuel cells.