Magneto-bioconvection of Powell Eyring nanofluid over a permeable vertical stretching sheet due to gyrotactic microorganisms in the presence of nonlinear thermal radiation and Joule heating

Pal, Dulal; Mondal, Surya Kanta

doi:10.1080/01430750.2019.1679253

Cited by 20 publications

(5 citation statements)

References 25 publications

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“…The computed numerical results by Runge-Kutta method are portrayed and discussed through the graphs (2)(3)(4)(5)(6)(7)(8)(9)(10)(11)(12)(13)(14)(15)(16)(17). The computed velocity and temperature as well as density, mass, energy transfer coefficient and friction factor are executed, and discussed in the form of tables.…”

Section: Resultsmentioning

confidence: 99%

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Internal energy activation stimulus on magneto-bioconvective Powell-Eyring nanofluid containing gyrotactic microorganisms under active/passive nanoparticles flux

et al. 2021

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Influence of Stephan blowing on a three-dimensional hydro magneto-bioconvective Eyring-Powell nanofluid containing Gyrotactic microorganisms under active and passive nanoparticle flux conditions is investigated in this paper. The presence of non-linear radiation along a bidirectional stretched surface is also deliberated throughout this analysis. A comparative study is made up for active and passive nanoparticle volume control. The study is relevant to novel microbial fuel cell technologies combining the nanofluid with bioconvection phenomena. The Prandtl’s boundary layer equations, approximated by Oberbeck-Boussinesq’s are studied under suitable boundary conditions. Similarity transformation is used to transform the governing boundary layer equations to dimensionless nonlinear ordinary differential equation model. The non-linear model is then resolved by combining the Runge–Kutta method and the MATHEMATICA software. The dimensionless velocity, temperature, nanoparticle concentration and density of motile microorganisms together with the wall shear stress, Nusselt, Sherwood and density of motile microorganism number are graphically presented to visualize the effects of particular parameters. A novel idea of Stefan blowing on three-dimensional space taking into consideration the non-linear radiation is implemented in the investigation of Eyring-Powell flow over a deformable sheet under the effects of slip and activation energy for the first time. Axial Newtonian slip decreases the momentum of the nanoflow while tangential slip augments the flow. Bio-convection parameter reduces the nanoparticle concentration of the rescaled density of motile microorganisms. Skin friction factor is dominant in passive nanoparticles flux rather than active nanoparticles flux. Passive nanoparticles help in smooth delivery of drugs which is seen here for zero mass flux. Energy transfer rate is high compared to active nanoparticle volume control. A zero mass flux acts as a cooling agent in this study by diffusing more heat from the system.

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Section: Resultsmentioning

confidence: 99%

“…Tausif et al [14] worked on Navier and thermal slip effects of gyrotactic microorganisms imbedded nanofluid. Pal et al [15] studied radiative and electro resistive heating on MHD Eyring Powell fluid. Souayeh et al [16] discussed the non-linear radiative flow past a thin needle.…”

Section: Introductionmentioning

confidence: 99%

Internal energy activation stimulus on magneto-bioconvective Powell-Eyring nanofluid containing gyrotactic microorganisms under active/passive nanoparticles flux

et al. 2021

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“…Utilizing the Oberbeck-Boussinesq approximation and under the above mentioned assumptions, the governing transport equations of flow, energy, nanparticle concentration and microorganism density can be expressed as follows [10,11,13,41]:…”

Section: Mathematical Formulationmentioning

confidence: 99%

Irreversibility estimation in triply stratified bio-marangoni convection in powell-eyring nanofluid under the influence of external flow

Das,

Shaw,

Raj Kairi

2024

Phys. Scr.

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Due to the growing importance of bioconvection phenomena in diverse industrial processes such as oil refining, biotechnology, and food processing, it is essential to examine several effects like a chemical reaction, stratification, Marangoni convection, etc. in nanofluid suspensions in the context of transport of microorganisms. The outcome of such studies may provide significant insight into controlling and as well as manipulating the transport of energy, solute, and microorganisms for achieving the requisite target. The aim of} our study is to investigate the thermo-solutal Marangoni convection of gyrotactic microorganisms suspended in Powell-Eyring nanofluid in a stratified medium. This analysis also takes into account the effects of external flow and transverse magnetic field. The impact of Arrhenius activation energy, thermal radiation, and binary chemical reactions on bioconvection flow is considered under stratified Marangoni convection. Under appropriate assumptions without violating the physics, the present problem is expressed in terms of nonlinear PDEs. Some capable similarity transformations are employed to convert the PDEs into ODEs and solved numerically by the Runge-Kutta Fehlberg method. The graphical illustrations depict the effects of relevant flow parameters on temperature, nanoparticle volume fraction, and density distributions of motile microorganisms. The study focuses on understanding the variations in significant engineering quantities resulting from changes in crucial effects and analyzing irreversibilities. It is noticed that Marangoni accelerates the mass transfer process while on the other hand delaying the heat transfer and microorganism’s density gradient. The dominance of Powell-Eyring nanofluid on the heat and mass transport amplified in accompanying Marangoni convection. The results indicate that the Eyring-Powell fluid significantly reduces entropy generation and the Bejan number. Conversely, an increase in entropy generation is observed for the Marangoni ratio parameter. Hence, this work provides insight into interlinked flow in bioconvective systems, with potential diverse applications in microbiological processes.

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“…Aziz and Aly [40] have considered the exponentially stretching sheet through zero nanoparticles and convective heating and investigated the MHD power-law nanofluid within the boundary layer comprising gyrotactic microorganisms. Pal and Mondal [41] studied the bio-convection by considering the Powell Eyring nanofluid, which consists of gyrotactic microorganisms over a stretching sheet. Zaman and Gul [42] addressed the gyrotactic microorganisms in the MHD bio-convection flow of Williamson nanofluid concerning thermal radiation and Newtonian conditions.…”

Section: Introductionmentioning

confidence: 99%

A theoretical analysis of steady three-dimensional flow and heat transfer of Power-Law nanofluid over a stretchable rotating disk filled with gyrotactic microorganisms

et al. 2020

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Magneto-bioconvection of Powell Eyring nanofluid over a permeable vertical stretching sheet due to gyrotactic microorganisms in the presence of nonlinear thermal radiation and Joule heating

Cited by 20 publications

References 25 publications

Internal energy activation stimulus on magneto-bioconvective Powell-Eyring nanofluid containing gyrotactic microorganisms under active/passive nanoparticles flux

Internal energy activation stimulus on magneto-bioconvective Powell-Eyring nanofluid containing gyrotactic microorganisms under active/passive nanoparticles flux

Irreversibility estimation in triply stratified bio-marangoni convection in powell-eyring nanofluid under the influence of external flow

A theoretical analysis of steady three-dimensional flow and heat transfer of Power-Law nanofluid over a stretchable rotating disk filled with gyrotactic microorganisms

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