Modelling laminar transport phenomena in a Casson rheological fluid from an isothermal sphere with partial slip in a non-Darcy porous medium

Prasad, Ramachandra V.; Rao, Subba A.; Reddy, B. Nagabhushnam; Bég, Anwar O.

doi:10.2298/tam1304469p

Cited by 16 publications

(8 citation statements)

References 45 publications

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“…This problem is of interest in nanomaterial manufacturing processes. Slip effects have been shown to be important in stretching sheet flows and recent studies include Hamad et al [28] and Prasad et al [29][30][31]. The governing partial differential boundary layer equations are reduced to a two-point boundary value problem with the aid of appropriate similarity variables.…”

Section: Introductionmentioning

confidence: 99%

Mathematical Modelling of Radiative Hydromagnetic Thermosolutal Nanofluid Convection Slip Flow in Saturated Porous Media

Uddin

Bég²,

Ismail

2014

Mathematical Problems in Engineering

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High temperature thermal processing of nanomaterials is an active area of research. Many techniques are being investigated to manipulate properties of nanomaterials for medical implementation. In this paper, we investigate thermal radiation processing of a nanomaterial fluid sheet extruded in porous media. A mathematical model is developed using a Darcy drag force model. Instead of using linear radiative heat flux, the nonlinear radiative heat flux in the Rosseland approximation is taken into account which makes the present study more meaningful and practically useful. Velocity slip and thermal and mass convective boundary conditions are incorporated in the model. The Buongiornio nanofluid model is adopted wherein Brownian motion and thermophoresis effects are present. The boundary layer conservation equations are transformed using appropriate similarity variables and the resulting nonlinear boundary value problem is solved usingMaple 14which uses the Runge-Kutta-Fehlberg fourth fifth order numerical method. Solutions are validated with previous nonmagnetic and nonradiative computations from the literature, demonstrating excellent agreement. The influence of Darcy number, magnetic field parameter, hydrodynamic slip parameter, convection-conduction parameter, convection-diffusion parameter, and conduction-radiation parameter on the dimensionless velocity, temperature, and nanoparticle concentration fields is examined in detail. Interesting patterns of relevance are observed to improve manufacturing of nanofluids.

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Section: Introductionmentioning

confidence: 99%

Mathematical Modelling of Radiative Hydromagnetic Thermosolutal Nanofluid Convection Slip Flow in Saturated Porous Media

Uddin

Bég²,

Ismail

2014

Mathematical Problems in Engineering

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“…, J). This nonlinear system of algebraic equations is linearized by means of Newton's method as explained in Prasad et al (2013).…”

Section: Phase C: Quasilinearization Of Nonlinear Keller Algebraic Equationsmentioning

confidence: 99%

Free Convection Heat and Mass Transfer of a Nanofluid Past a Horizontal Cylinder Embedded in a Non-Darcy Porous Medium

Rao¹,

Prasad²,

Bég

et al. 2018

J Por Media

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In the present paper, we analyzed the laminar boundary layer flow and heat transfer from a horizontal cylinder in a nanofluid-saturated non-Darcy porous medium in the presence of thermal radiation. This is the first paper presenting non-similar solutions for such a regime. The boundary layer conservation equations, which are parabolic in nature, are normalized into non-similar form and then solved computationally with an efficient, implicit, stable Keller-box finitedifference scheme. Non-Darcy effects are simulated via a second-order Forchheimer drag force term in the momentum boundary layer equation. The model used for the nanofluid incorporates the effects of Brownian motion, buoyancy ratio, and thermophoresis. A non-similarity solution is presented that depends on the Brownian motion number (Nb), buoyancy ratio (Nr), thermophoresis number (Nt), Forchheimer parameter (Λ), and radiation parameter (F). Velocity is reduced with increasing Forchheimer parameter, whereas temperature and nanoparticle concentration are both enhanced. The model finds applications in energy systems and thermal enhancement of industrial flow processes.

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“…Peristaltic flows has a wide range of applications like urine transport from kidney to bladder, movement of chyme in the gastrointestinal tract, transport of spermatozoa in the ducts efferent of the male reproductive tract and in the cervical canal, in the movement of ovum in the female fallopian tube, transport of lymph in the lymphatic vessels and in the vasomotion of small blood vessels such as arterioles, venules and capillaries, keeping these practical applications in mind researchers have put their attentions towards peristaltic flows i.e. [13][14][15][16][17][18][19][20]. Further literature on the topic can be viewed through Refs.…”

Section: Introductionmentioning

confidence: 99%

Influence of magnetic field on peristaltic flow of a Casson fluid in an asymmetric channel: Application in crude oil refinement

Akbar

2015

Journal of Magnetism and Magnetic Materials

123

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Modelling laminar transport phenomena in a Casson rheological fluid from an isothermal sphere with partial slip in a non-Darcy porous medium

Cited by 16 publications

References 45 publications

Mathematical Modelling of Radiative Hydromagnetic Thermosolutal Nanofluid Convection Slip Flow in Saturated Porous Media

Mathematical Modelling of Radiative Hydromagnetic Thermosolutal Nanofluid Convection Slip Flow in Saturated Porous Media

Free Convection Heat and Mass Transfer of a Nanofluid Past a Horizontal Cylinder Embedded in a Non-Darcy Porous Medium

Influence of magnetic field on peristaltic flow of a Casson fluid in an asymmetric channel: Application in crude oil refinement

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