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

Abstract

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.

Numerical investigation of radiative optically-dense transient magnetized reactive transport phenomena with cross diffusion, dissipation and wall mass flux effects

“…As R is increased thermal radiation contributes more and this elevates the heat flux in the medium which aids in accelerating the flow. A similar observation has been reported by numerous other studies including Hossain and Rees [44] , Hayat et al [47] and Sattar and Kalim [49] , although they have not explained the cause for flow acceleration. Increasing thermal radiation implies that the random kinetic energy of charged particles is elevated.…”

“…These include Refs. [23,44,51] which cover all the essential parameters featured in the present model. Furthermore we have used the references [61,73] for additional guidance as to parameter selection.…”

“…Cess [42] was probably the first researcher to implement this model in convective boundary layer flows, motivated by aerodynamics heating applications. Many studies have subsequently appeared deploying the Rosseland-Boltzmann model including Lee and Viskanta [43] , Hossain and Rees [44] , Uddin et al [45] , Ferdows et al [46] , Hayat et al [47] , Bég et al [48] , Sattar and Kalim [49] and Atdin and Kaya [50] . Several authors have also studied radiative convection flows in the presence of combined Soret and Dufour effects, including Shateyi et al [51] who also considered magnetic field and Hall current effects in porous media and Olanrewaju and Gbadeyan [52] who investigated the collective influence of Soret/Dufour diffusive, chemical reaction, thermal radiation and volumetric heat generation/absorption effects on mixed convection stagnation point flows in permeable materials.…”

Dual solutions for radiative MHD forced convective flow of a nanofluid over a slendering stretching sheet in porous medium

“…Uddin et al (2014) proposed a mathematical model for radiative MHD thermosolutal nano fluid convection slip flow in a porous medium. Ibrahim et al (2013) discussed the MHD boundary layer flow of a nano fluid past a permeable stretching with velocity and thermal slip boundary conditions.…”

Energy conversion under conjugate conduction, magneto-convection, diffusion and nonlinear radiation over a non-linearly stretching sheet with slip and multiple convective boundary conditions

“…They ignore mass convective boundary conditions. The idea of using mass convective boundary condition has been recently explored by Uddin et al [30,31].…”