Stagnation-Point Flow Toward a Stretching/Shrinking Sheet in a Nanofluid Containing Both Nanoparticles and Gyrotactic Microorganisms

Zaimi, Khairy; Ishak, Anuar Mohd; Pop, Ioan

doi:10.1115/1.4026011

Cited by 58 publications

(36 citation statements)

References 37 publications

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“…The author evaluated the effects of Prandtl number, Grashof number, bioconvection Rayleigh number, Schimdt number, Lewis number and bioconvection Péclet number on the concentration of motile micro-organisms. Zaimi et al [30] simulated energy transfer problem past a stretchable/shrinkable sheet placed in a nanofluid with gyrotactic microorganisms under suction. They observed that local Sherwood number, local Nusselt number, local density of the motile microorganisms and skin friction coefficient are enhanced with greater suction.…”

Section: Introductionmentioning

confidence: 99%

Numerical solution of bio-nano-convection transport from a horizontal plate with blowing and multiple slip effects

Uddin

Kabir

Alginahi

et al. 2019

Proceedings of the Institution of Mechanical Engineers, Part C:

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N u m e ri c al s ol u tio n of bio-n a n oc o nv e c tio n t r a n s p o r t fro m a h o rizo n t al pl a t e wi t h blo wi n g a n d m ul ti pl e sli p eff e c t s U d di n, MJ, Ka bir, M N, Algin a hi, Y a n d B e g, OA h t t p:// dx. d oi.o r g/ 1 0. 1 1 7 7/ 0 9 5 4 4 0 6 2 1 9 8 6 7 9 8 5 Ti t l e N u m e ri c al s ol u tio n of bio-n a n o-c o nv e c tio n t r a n s p o r t fro m a h o rizo n t al pl a t e wi t h blo wi n g a n d m ul ti pl e sli p eff e c t s A u t h o r s U d di n, MJ, Ka bir, M N, Algi n a hi, Y a n d B e g, OA Typ e Articl e U RL This ve r sio n is a v ail a bl e a t : h t t p:// u sir.s alfo r d. a c. u k/id/ e p ri n t/ 5 1 8 1 6/ P u b l i s h e d D a t e 2 0 1 9 U SIR is a di git al c oll e c tio n of t h e r e s e a r c h o u t p u t of t h e U niv e r si ty of S alfo r d. W h e r e c o py ri g h t p e r mi t s, full t e x t m a t e ri al h el d in t h e r e p o si to ry is m a d e fr e ely a v ail a bl e o nli n e a n d c a n b e r e a d , d o w nlo a d e d a n d c o pi e d fo r n o nc o m m e r ci al p riv a t e s t u dy o r r e s e a r c h p u r p o s e s . Pl e a s e c h e c k t h e m a n u s c ri p t fo r a n y fu r t h e r c o py ri g h t r e s t ri c tio n s. Fo r m o r e info r m a tio n, in cl u di n g o u r p olicy a n d s u b mi s sio n p r o c e d u r e , pl e a s e c o n t a c t t h e R e p o si to ry Te a m a t: u si r@ s alfo r d. a c. u k . AbstractIn this paper, a new bio-nano-transport model is presented. The effects of first and second order velocity slips, thermal slip, mass slip, and gyro-tactic (torque-responsive) microorganism slip of bioconvective nanofluid flow from a moving plate under blowing phenomenon are numerically examined. The flow model is expressed by partial differential equations which are converted to a similar boundary value problem by similarity transformations. The boundary value problem is converted to a system of nonlinear equations which are then solved by a Matlab nonlinear equation solver fsolve integrated with a Matlab ODE solver ode15s. The effects of selected control parameters (first order slip, second order slip, thermal slip, microorganism slip, blowing, nanofluid parameters) on the non-dimensional velocity, temperature, nanoparticle volume fraction, density of motile micro-organism, skin friction coefficient, heat transfer rate, mass flux of nanoparticles and mass flux of microorganisms are analyzed. Our analysis reveals that a higher blowing parameter enhances micro-organism propulsion, flow velocity and nano-particle concentration, and increases the associated boundary layer thicknesses. A higher wall slip parameter enhances mass transfer and accelerates the flow. The MATLAB computations have been rigorously validated with the second-order accurate finite difference Nakamura tri-diagonal method. The current study is relevant to microbial fuel cell technologies which combine nanofluid transport, bioconvection phenomena and furthermore finds applications in nano-biomaterials sheet processing systems.

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Section: Introductionmentioning

confidence: 99%

Numerical solution of bio-nano-convection transport from a horizontal plate with blowing and multiple slip effects

Uddin

Kabir

Alginahi

et al. 2019

Proceedings of the Institution of Mechanical Engineers, Part C:

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“…Basir et al [10] examined the enrobing hydrodynamics, heat and mass transfer in transient axisymmetric boundary layer flow of bioconvective nanofluids from an extending cylindrical body using Maple software. Zaimi et al [11] used a homotopy method to study the stagnation flow of nanofluids with bioconvection from a contracting or extending two-dimensional sheet. These studies all confirmed the marked influence of nano-particles on Nusselt and Sherwood numbers.…”

Section: Introductionmentioning

confidence: 99%

Electrothermal transport of nanofluids via peristaltic pumping in a finite micro-channel: Effects of Joule heating and Helmholtz-Smoluchowski velocity

Tripathi

Sharma

Bég

2017

International Journal of Heat and Mass Transfer

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The present article studies theoretically the electrokinetic pumping of nanofluids with heat and mass transfer in a micro-channel under peristaltic waves, a topic of some interest in medical nano-scale electro-osmotic devices. The microchannel walls are deformable and transmit periodic waves. The Chakraborty-Roy nanofluid electrokinetic formulation is adopted in which Joule heating effects are incorporated. Soret and Dufour cross-diffusion effects are also considered. Under low Reynolds number (negligible inertial effects), long wavelength and Debye linearization approximations, the governing partial differential equations for mass, momentum, energy and solute concentration conservation are derived with appropriate boundary conditions at the micro-channel walls. The merging model features a number of important thermo-physical, electrical and nanoscale parameter, namely thermal and solutal Grashof numbers, the HelmholtzSmoluchowski velocity (maximum electro-osmotic velocity) and Joule heating to surface heat flux ratio. Closed-form solutions are derived for the solute concentration, temperature, axial velocity, averaged volumetric flow rate, pressure difference across one wavelength, and stream function distribution in the wave frame. Additionally expressions are presented for the surface shear stress function at the wall (skin friction coefficient), wall heat transfer rate (Nusselt number) and wall solute mass transfer rate (Sherwood number). The influence of selected parameters on these flow variables is studied with the aid of graphs. Bolus formation is also visualized and analyzed in detail.

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“…Kuznetsov (2010) studied the bioconvection in a horizontal layer filled with micro-organisms suspended in a nanofluid using the Buongiorno model. Zaimi et al (2014a) showed that Brownian diffusion and thermophoresis are major factors for producing relative velocity between nanoparticles and the base fluid.The problem was solved using aGalerkin method to obtain the analytical solution for the critical Rayleigh number. The effect of gyrotactic microorganisms is to destabilize compared to nanofluid where the nanoparticles can either reduce or increase the value of the critical Rayleigh number depending on the nanoparticle distribution.…”

Section: Introductionmentioning

confidence: 99%

Numerical solutions for gyrotactic bioconvection in nanofluid-saturated porous media with Stefan blowing and multiple slip effects

Uddin¹,

Alginahi²,

Bég³

et al. 2016

Computers & Mathematics with Applications

123

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Abstract:A mathematical model is developed to examine the effects of the Stefan blowing, second order velocity slip, thermal slip and microorganism species slip on nonlinear bioconvection boundary layer flow of a nanofluid over a horizontal plate embedded in a porous medium with the presence of passively controlled boundary condition. Scaling group transformations are used to find similarity equations of such nanobioconvection flows. The similarity equations are numerically solved with a Chebyshev collocation method. Validation of solutions is conducted with a Nakamura tri-diagonal finite difference algorithm. The effects of nanofluid characteristics and boundary properties such as the slips, Stefan blowing, Brownian motion and Grashof number on the dimensionless fluid velocity, temperature, nanoparticle volume fraction, motile microorganism, skin friction, the rate of heat transfer and the rate of motile microorganism transfer are investigated. The work is relevant to bio-inspired nanofluidenhanced fuel cells and nano-materials fabrication processes.

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Stagnation-Point Flow Toward a Stretching/Shrinking Sheet in a Nanofluid Containing Both Nanoparticles and Gyrotactic Microorganisms

Cited by 58 publications

References 37 publications

Numerical solution of bio-nano-convection transport from a horizontal plate with blowing and multiple slip effects

Numerical solution of bio-nano-convection transport from a horizontal plate with blowing and multiple slip effects

Electrothermal transport of nanofluids via peristaltic pumping in a finite micro-channel: Effects of Joule heating and Helmholtz-Smoluchowski velocity

Numerical solutions for gyrotactic bioconvection in nanofluid-saturated porous media with Stefan blowing and multiple slip effects

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