Non-similarity solution for Soret effect on natural convection over the vertical frustum of a cone in a nanofluid using new bivariate pseudo-spectral local linearisation method

Motsa, S. S.; RamReddy, Ch.; Rao, Ch. Venkata

doi:10.1016/j.amc.2017.07.001

Cited by 5 publications

(2 citation statements)

References 21 publications

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“…In colloidal liquids, Michaelides (2015) elucidated the significance of Brownian motion and the thermophoresis of nanoparticles, as well as the interplay between these physical phenomena. In their mathematical model for the convective flow of a nanofluid along a vertical frustum, Motsa, RamReddy & Venkata Rao (2017) examined the effects of thermophoresis and Brownian motion. When examining heat transport in colloidal suspensions, the radiant heat flux is a crucial component.…”

Section: Introductionmentioning

confidence: 99%

Exploring slip effects of ferrofluid film flow over a slanted rough surface

Bhandari,

Parmar

2024

J. Fluid Mech.

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We examined the influences of slip parameters on the velocity and thermal characteristics of a ferrofluid film of fixed thickness. The flow is generated on a rough and inclined whirling surface that is positioned in an external magnetic (dipole) field. The similarity transformation reduces the model equations (continuity, momentum, energy and concentration), and the solution of the normalized coupled ordinary differential equations is carried out through the finite element process. The influences of slip effects, Brownian motion, thermophoresis and a heat source on the velocity (radial, tangential and axial), gravity (drainage, induced), temperature profile and concentration profile are determined. The tangential flow and temperature are both decreased by an increase in the velocity slip parameter, whereas drainage, induced, radial and axial flows are increased. Enlarging the thermal slip parameter decreases the temperature. Improving slip parameters (velocity and thermal) also improves the concentration profile. Both Nusselt and Sherwood numbers are found to improve on improving the velocity slip parameter, while they decrease on decreasing the thermal slip parameter. The results and insights from this work could be applied to a wide range of medicinal fields, such as targeted medication therapy and delivery, tissue engineering, etc. as well as different industrial processes including coating, lubrication, heat transfer, etc.

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Section: Introductionmentioning

confidence: 99%

Exploring slip effects of ferrofluid film flow over a slanted rough surface

Bhandari,

Parmar

2024

J. Fluid Mech.

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“…The BPSLLM, presented by Magagula, 31 is a variation of the spectral local linearization method 32 to obtain the solution of nonlinear partial differential equations. This approach has been used successfully to solve the problems of natural convection over vertical cone frustum in Soret-induced nanofluid 33 and unsteady micropolar-nanofluid flow over a stretching surface with heterogeneous-homogeneous chemical reactions and magnetic effect. 34 The effect of different flow and geometry parameters on the rate of heat transfer, rate of nanoparticle mass transfer, and density number of the microorganism are evaluated.…”

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confidence: 99%

Mixed convection of a nanofluid past an inclined wavy surface in the presence of gyrotactic microorganisms

Srinivasacharya

Ramana

2021

Heat Trans

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The mixed convection of a nanofluid flow past an inclined wavy surface in the existence of gyrotactic microbes is considered. To convert the wavy surface to a plane surface, a transformation of coordinates is applied. The governing equations that are nonlinear and the accompanying boundary conditions are converted into a dimensionless form using pseudo-similarity variables. Using a local linearization process, the system of nonlinear partial differential equations is linearized. The resulting system is solved using the Bivariate Chebyshev pseudo-spectral collocation method. The influence of different physical and geometrical factors on the parameters of engineering importance of the flow is analyzed and illustrated graphically. It is observed that the skin friction, the density of motile microorganisms, and nanoparticle mass transfer rate are increasing with an increase in the bioconvection Peclet and Schmidt numbers whereas these quantities are decreasing with an increase in Rayleigh number. The local Nusselt number, nanoparticle Sherwood number, and density number of microbes increases with an increase in the Brownian motion and thermophoresis parameter.

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Computational Analysis of Double Diffusive Bioconvection of a Nanofluid Past an Inclined Wavy Surface

Srinivasacharya

Ramana

2021

Int. J. Appl. Comput. Math

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Non-similarity solution for Soret effect on natural convection over the vertical frustum of a cone in a nanofluid using new bivariate pseudo-spectral local linearisation method

Cited by 5 publications

References 21 publications

Exploring slip effects of ferrofluid film flow over a slanted rough surface

Exploring slip effects of ferrofluid film flow over a slanted rough surface

Mixed convection of a nanofluid past an inclined wavy surface in the presence of gyrotactic microorganisms

Computational Analysis of Double Diffusive Bioconvection of a Nanofluid Past an Inclined Wavy Surface

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