Transverse magnetic flow over a Reiner–Philippoff nanofluid by considering solar radiation

Reddy, M. Gnaneswara; Rani, Sudha; Kumar, K. Ganesh; Seikh, Asiful H.; Rahimi‐Gorji, Mohammad; Sherif, El‐Sayed M.

doi:10.1142/s0217984919504499

Cited by 50 publications

(18 citation statements)

References 28 publications

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“…Applying the same procedure on (28), the numerical solution of (14) can be obtained in the form of ϕ and ϕ ′ . Table 1 presents the comparison analysis of current results with those reported by Reddy et al [7] by fixing distinguished parameters A * � B * � ϵ 1 ϵ 2 � Sc � 0, Rd � 0.2, θ w � 0.9, and c � 0.2, whereas Table 2 depicts the comparison of local Nusselt number for present outcomes with Reddy et al [9] by fixing A * � 0.1, B * � 0.1, ϵ 1 � 0.1, ϵ 2 � Sc � θ w � 0, and Pr � 0.8.…”

Section: Solution Methodologymentioning

confidence: 93%

“…One of the traditional portrayals of the stress-deformation conduct of Reiner-Philippoff fluid [5][6][7][8][9] is…”

Section: Mathematical Formulationmentioning

confidence: 99%

“…Equations (3) and (4) depict the continuity and fluid flow phenomenon, whereas heat and mass transfer analysis in the present Reiner-Philippoff model is carried out by (5) and (6). e equations regarding continuity, momentum, energy, and concentration [5][6][7][8][9] are enumerated underneath:…”

Section: Mathematical Formulationmentioning

confidence: 99%

“…Ahmed et al [6] adopted the nonlinear shooting method to find the numerical solution of Reiner-Philippoff fluid past a nonlinear stretching sheet with variable thickness. Reddy et al [7] successfully applied the shooting method to Reiner-Philippoff fluid flow across a stretching sheet accompanied with transverse applied magnetic field effect. Kumar et al [8] examined the conduct of Cattaneo-Christov heat diffusion and magnetic field on Reiner-Philippoff fluid over a stretchable surface.…”

Section: Introductionmentioning

confidence: 99%

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Impact of Temperature-Dependent Heat Source/Sink and Variable Species Diffusivity on Radiative Reiner–Philippoff Fluid

Sajid

Sagheer

Hussain

2020

Mathematical Problems in Engineering

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The principle aim of the current communication is to scrutinize the impact of distinguished effects like variable thermal conductivity and variable molecular diffusivity on non-Newtonian Reiner–Philippoff fluid moving over a stretchable surface. The process of heat transfer is carried out in the presence of nonlinear thermal radiation, variable thermal conductivity, and heat generation/absorption. Furthermore, the study of mass transfer phenomena is carried out in the existence of variable molecular diffusivity. The PDEs regarding our model are renovated into ODEs by utilizing similarity transformation. Furthermore, the dimensionless model is tackled with the help of the RK4 method in conjunction with the shooting technique. The effects of different physical parameters that emerged during the numerical simulation on mass transfer rate, heat transfer rate, and velocity field are portrayed in the form of tables and graphs. It is noteworthy that an elevation in the heat source/sink parameters causes a reduction in the temperature profile. Moreover, a positive variation in the species diffusivity parameter augments the mass fraction field. A variation in the fluid parameter is found to be significantly affecting the shear thinning and shear thickening behaviour of the fluid. Reliability of the numerical outcomes is judged by comparing the obtained outcomes with the already available literature. The article is unique in its sense that the heat and mass transfer analysis of Reiner–Philippoff fluid under the aforementioned effects has not been investigated yet.

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Section: Solution Methodologymentioning

confidence: 93%

“…One of the traditional portrayals of the stress-deformation conduct of Reiner-Philippoff fluid [5][6][7][8][9] is…”

Section: Mathematical Formulationmentioning

confidence: 99%

Section: Mathematical Formulationmentioning

confidence: 99%

Section: Introductionmentioning

confidence: 99%

See 2 more Smart Citations

Impact of Temperature-Dependent Heat Source/Sink and Variable Species Diffusivity on Radiative Reiner–Philippoff Fluid

Sajid

Sagheer

Hussain

2020

Mathematical Problems in Engineering

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“…Hsiao (2017b) illustrates the higher efficiency thermal energy extrusion system and the system's economic efficiency can be promoted. Recently, various researchers studied the heat transfer MMMS 16,6 of nanofluids (Khan and Aly, 2019;Hussain et al, 2019;Khan and Hussain, 2019;Mair and Arif, 2019;Kumar et al, 2020;Kumar, 2019a;Reddy et al, 2020).…”

Section: Introductionmentioning

confidence: 99%

Convective heat transport in a heat generating MHD vertical layer saturated by a non-Newtonian nanofluid: a bidirectional study

Reddy

Vijayakumari

Krishna

et al. 2020

MMMS

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PurposeIn this framework, the three dimensional (3D) flow of hydromagnetic Carreau nanofluid transport over a stretching sheet has been addressed by considering the impacts of nonlinear thermal radiation and convective conditions.Design/methodology/approachInfinite shear rate viscosity impacts are invoiced in the modeling. The heat and mass transport characteristics are explored by employing the effects of a magnetic field, thermal nonlinear radiation and buoyancy effects. Rudimentary governing partial differential equations (PDEs) are represented and are transformed into ordinary differential equations by the use of similarity transformation. The nonlinear ordinary differential equations (ODEs), along with the boundary conditions, are resolved with the aid of a Runge-Kutta-Fehlberg scheme (RKFS) based on the shooting technique.FindingsThe impact of sundry parameters like the viscosity ratio parameter (β*), nonlinear convection parameters due to temperature and concentration (βT, βC), mixed convection parameter (α), Hartmann number (M2), Weissenberg number (We), nonlinear radiation parameter (NR), and the Prandtl number (Pr) on the velocity, temperature and the concentration distributions are examined. Furthermore, the impacts of important variables on the skin friction, Nusselt number and the Sherwood number have been scrutinized through tables and graphical plots.Originality/valueThe velocity distribution is suppressed by greater values of the Hartmann number. The velocity components in the tangential and axial directions of the fluid are raised with the viscosity ratio parameter and the tangential slip parameter, but these components are reduced with concentration to thermal buoyancy forces ratio and stretching sheet ratio.

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Thermal radiation effects on oscillatory squeeze flow with a particle‐fluid suspension

et al. 2020

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The study of squeezing flow has attracted considerable interest in recent years for its important applications in industrial, biomedical and engineering domains such as fibre‐reinforced, cell squeeze technology. The aim of this study is to analyze the flow and heat transfer of a squeezed particle fluid with thermal radiation effects between parallel plates. The governing partial differentials are reduced to ordinary differential equations by a similarity transformation and solved numerically using the finite difference method. The effects of different physical parameters on the velocity and temperature profiles are discussed with the help of graphs coupled with comprehensive discussions. The results indicate that the thermal radiation parameter enhanced the fluid and particle temperature distribution and for the plate oscillation case, reverse flow is observed. To show the biological relevance of the analysis, the results obtained analyzed the influence of the squeezed artery wall on the suspension blood flow for normal and diseased blood using the experimental data from the published literature. Finally, a comparison between the present similarity solutions and previously published results shows the accuracy of the current results.

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Transverse magnetic flow over a Reiner–Philippoff nanofluid by considering solar radiation

Cited by 50 publications

References 28 publications

Impact of Temperature-Dependent Heat Source/Sink and Variable Species Diffusivity on Radiative Reiner–Philippoff Fluid

Impact of Temperature-Dependent Heat Source/Sink and Variable Species Diffusivity on Radiative Reiner–Philippoff Fluid

Convective heat transport in a heat generating MHD vertical layer saturated by a non-Newtonian nanofluid: a bidirectional study

Thermal radiation effects on oscillatory squeeze flow with a particle‐fluid suspension

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