Cattaneo–Christov heat diffusion phenomenon in Reiner–Philippoff fluid through a transverse magnetic field

Kumar, K. Ganesh; Reddy, M. Gnaneswara; Sudharani, M. V. V. N. L.; Shehzad, S. A.; Chamkha, Ali J.

doi:10.1016/j.physa.2019.123330

Cited by 85 publications

(43 citation statements)

References 28 publications

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“…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%

“…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. Reddy et al [9] studied the Darcy-Forchheimer flow of Reiner-Philippoff fluid past a linear stretching sheet accompanied with viscous dissipation and thermal radiation.…”

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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“…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 1 more Smart Citation

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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“…Reddy (2018) analysed the MHD effects on non-Newtonian fluid across a cone/wedge. Recently the boundary layer flow and heat transfer model with Cattaneo–Christov and thermal radiation effect have been extensively investigated in many literatures [see (Mustafa, 2015; Kumar et al , 2020; Waqas et al , 2016; Reddy et al , 2020; Hayat et al , 2016c; Reddy et al , 2018; Nadeem et al , 2017b; Hayat et al , 2019)].…”

Section: Introductionmentioning

confidence: 99%

A mathematical framework on Cattaneo–Christov model over an incessant moving needle

Reddy

Kumari

Reddy

et al. 2020

MMMS

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PurposeThe main theme of this paper is the effect of viscous dissipation Darcy–Forchheimer flow and heat transfer augmentation of a viscoelastic fluid over an incessant moving needle.Design/methodology/approachThe governing partial differential equations of the current problem are diminished into a set of ordinary differential equations using requisite similarity transformations. Energy equation is extended by using Cattaneo–Christov heat flux model with variable thermal conductivity. By applying boundary layer approximation system of equations is framed.FindingsConvective condition is also introduced in this analysis. Obtained set of similarity equations are then solved with the help of efficient numerical method four–fifth-order RKF-45.Originality/valueThe outcomes of various pertinent parameters on the velocity, temperature distributions are analysed by using portraits.

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Cattaneo–Christov heat diffusion phenomenon in Reiner–Philippoff fluid through a transverse magnetic field

Cited by 85 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

A mathematical framework on Cattaneo–Christov model over an incessant moving needle

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