Mixed convection flow along an inclined permeable plate: effect of magnetic field, nanolayer conductivity and nanoparticle diameter

Rana, Puneet; Bég, O. Anwar

doi:10.1007/s13204-014-0352-z

Cited by 47 publications

(24 citation statements)

References 29 publications

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“…The formulation adopted is "weak" and particularly suited to fluid dynamics phenomena. It has been applied quite recently also to simulate many diverse problems in for example nanofluid solar 28 energy collector heat transfer [36], biomagnetic transport phenomena in tissue [37], polymeric fluid dynamics [38], hemodynamics [39] and magnetic smart materials [40]. The code, BAC-FLOW [41] has been customized to simulate gliding bacterial rheological flows.…”

Section: Validation With Variational Finite Element Methods (Fem)mentioning

confidence: 99%

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Bacterial gliding fluid dynamics on a layer of non-Newtonian slime: Perturbation and numerical study

Ali

Asghar

Bég

et al. 2016

Journal of Theoretical Biology

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Abstract:Gliding bacteria are an assorted group of rod-shaped prokaryotes that adhere to and glide on certain layers of ooze slime attached to a substratum. Due to the absence of organelles of motility, such as flagella, the gliding motion is caused by the waves moving down the outer surface of these rodshaped cells. In the present study we employ an undulating surface model to investigate the motility of bacteria on a layer of non-Newtonian slime. The rheological behavior of the slime is characterized by an appropriate constitutive equation, namely the Carreau model. Employing the balances of mass and momentum conservation, the hydrodynamic undulating surface model is transformed into a fourth-order nonlinear differential equation in terms of a stream function under the long wavelength assumption. A perturbation approach is adopted to obtain closed form expressions for stream function, pressure rise per wavelength, forces generated by the organism and power required for propulsion. A numerical technique based on an implicit finite difference scheme is also employed to investigate various features of the model for large values of the rheological parameters of the slime. Verification of the numerical solutions is achieved with a variational finite element method (FEM). The computations demonstrate that the speed of the glider decreases as the rheology of the slime changes from shear-thinning (pseudo-plastic) to shear-thickening (dilatant). Moreover, the viscoelastic nature of the slime tends to increase the swimming speed for the shear-thinning case. The fluid flow in the pumping (generated where the organism is not free to move but instead generates a net fluid flow beneath it) is also investigated in detail. The study is relevant to marine anti-bacterial fouling and medical hygiene biophysics.

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Section: Validation With Variational Finite Element Methods (Fem)mentioning

confidence: 99%

“…Comprehensive details are given in [36][37][38][39][40][41][42]. This system of non-linear algebraic equations produced after assembly of the element equations is linearized by incorporating the stream function  which is assumed to be known.…”

Section: Validation With Variational Finite Element Methods (Fem)mentioning

confidence: 99%

Bacterial gliding fluid dynamics on a layer of non-Newtonian slime: Perturbation and numerical study

Ali

Asghar

Bég

et al. 2016

Journal of Theoretical Biology

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“…Further article addressing multi-physical nanofluid flow problems have been communicated by Uddin et al [15] (for magnetized reactive nanofluids using Maple 17 software), Prasad et al [16] for micropolar rheological nanofluid double-diffusive convection from a cylindrical body and Rajesh et al [17] for unsteady nanofluid dynamics from a translating curved body (using an explicit finite difference solver). Rana and Bég [18] studied variable nano-layer conductivity effects on inclined plane magneto-nanofluid flow by finite element method. Rashidi et al [19] employed a differential transform algorithm to examine entropy generation (Bejan nmber) effects on steady swirling nanofluid from a permeable rotating disk in a magnetic field.…”

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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“…In another work, Fang (2014) investigated an unsteady stagnationpoint flow over a moving wall considering the coupled blowing effect from mass transfer. Rana and Bég (2014) investigated the flow of an incompressible Al2O3-water nanofluid along an inclined permeable plate under transverse magnetic field in a steady 2D mixed convention boundary layer, observing that at a given Richardson number, heat transfer is enhanced with an increase in magnetic field for both pure water and nanofluids, however it is greater in the latter case. Tiwari and Das (2007) conducted a computational investigation on the behavior of nanofluids inside a two-sided lid-driven differentially heated square cavity, showing that the fluid flow and heat transfer in the cavity are affected by Richardson number and the direction of the moving walls.…”

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

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121

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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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Mixed convection flow along an inclined permeable plate: effect of magnetic field, nanolayer conductivity and nanoparticle diameter

Cited by 47 publications

References 29 publications

Bacterial gliding fluid dynamics on a layer of non-Newtonian slime: Perturbation and numerical study

Bacterial gliding fluid dynamics on a layer of non-Newtonian slime: Perturbation and numerical study

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

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

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