The Rotating Flow of Magneto Hydrodynamic Carbon Nanotubes over a Stretching Sheet with the Impact of Non-Linear Thermal Radiation and Heat Generation/Absorption

Abstract In this work, an analysis is presented for the unsteady axisymmetric flow of Oldroyd-B nanofluid generated by an impermeable stretching cylinder with heat and mass transport under the influence of heat generation/absorption, thermal radiation and first-order chemical reaction. Additionally, thermal and solutal performances of nanofluid are studied using an interpretation of the well-known Buongiorno's model, which helps us to determine the attractive characteristics of Brownian motion and thermophoretic diffusion. Firstly, the governing unsteady boundary layer equation's (PDEs) are established and then converted into highly non-linear ordinary differential equations (ODEs) by using the suitable similarity transformations. For the governing non-linear ordinary differential equations, numerical integration in domain [0, ∞) is carried out using the BVP Midrich scheme in Maple software. For the velocity, temperature and concentration distributions, reliable results are prepared for different physical flow constraints. According to the results, for increasing values of Deborah numbers, the temperature and concentration distribution are higher in terms of relaxation time while these are decline in terms of retardation time. Moreover, thermal radiation and heat generation/absorption are increased the temperature distribution and corresponding boundary layer thickness. With previously stated numerical values, the acquired solutions have an excellent accuracy.

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Unsteady Flow and Heat Transfer of a MHD Micropolar Fluid Over a Porous Stretching Sheet in the Presence of Thermal Radiation

Journal of Mechanics ◽

10.1017/jmech.2013.33 ◽

2013 ◽

Vol 29 (3) ◽

pp. 559-568 ◽

Cited By ~ 5

Author(s):

G. C. Shit ◽

R. Haldar ◽

A. Sinha

Keyword(s):

Heat Transfer ◽

Boundary Layer ◽

Differential Equations ◽

Thermal Radiation ◽

Boundary Layer Flow ◽

Micropolar Fluid ◽

Stretching Sheet ◽

Flow And Heat Transfer ◽

Non Linear ◽

Layer Flow

AbstractA non-linear analysis has been made to study the unsteady hydromagnetic boundary layer flow and heat transfer of a micropolar fluid over a stretching sheet embedded in a porous medium. The effects of thermal radiation in the boundary layer flow over a stretching sheet have also been investigated. The system of governing partial differential equations in the boundary layer have reduced to a system of non-linear ordinary differential equations using a suitable similarity transformation. The resulting non-linear coupled ordinary differential equations are solved numerically by using an implicit finite difference scheme. The numerical results concern with the axial velocity, micro-rotation component and temperature profiles as well as local skin-friction coefficient and the rate of heat transfer at the sheet. The study reveals that the unsteady parameter S has an increasing effect on the flow and heat transfer characteristics.

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Computational analysis of nano-fluid due to a non-linear variable thicked stretching sheet subjected to Joule heating and thermal radiation

Journal of Materials Research and Technology ◽

10.1016/j.jmrt.2020.07.085 ◽

2020 ◽

Vol 9 (5) ◽

pp. 11035-11044 ◽

Cited By ~ 1

Author(s):

Zahra Abdelmalek ◽

Imad Khan ◽

M. Waleed Ahmed Khan ◽

Khalil Ur Rehman ◽

El-Sayed M. Sherif

Keyword(s):

Thermal Radiation ◽

Joule Heating ◽

Computational Analysis ◽

Stretching Sheet ◽

Nano Fluid ◽

Non Linear

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Effect of magnetic field, heat generation and absorption on nanofluid flow over a nonlinear stretching sheet

Beilstein Journal of Nanotechnology ◽

10.3762/bjnano.11.82 ◽

2020 ◽

Vol 11 ◽

pp. 976-990

Author(s):

Santoshi Misra ◽

Govardhan Kamatam

Keyword(s):

Magnetic Field ◽

Heat Generation ◽

Stretching Sheet ◽

Partial Slip ◽

Nanoparticle Suspension ◽

Dimensionless Parameters ◽

Similarity Transformations ◽

Highly Nonlinear ◽

Layer Flow ◽

The Impact

The study of magnetohydrodynamic flow of a nanoparticle suspension under the influence of varied dimensionless parameters has been the focus of research in contemporary times. This work models the effect of magnetic field, heat generation and absorption parameter in a steady, laminar, two-dimensional boundary layer flow of a nanofluid over a permeable stretching sheet at a given surface temperature and partial slip. The highly nonlinear governing equations are solved numerically using similarity transformations with suitable boundary conditions and converted to ordinary differential equations. A computational model is setup using FORTRAN, where a relevant Adam’s predictor–corrector method is employed to solve the equations. The impact of the dimensionless parameters, including the Brownian motion, thermophoresis, magnetic field, heat generation and absorption parameters, on the velocity, temperature and nanoparticle concentration of fluid flow are analysed systematically.

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Impact of Nonlinear Thermal Radiation and the Viscous Dissipation Effect on the Unsteady Three-Dimensional Rotating Flow of Single-Wall Carbon Nanotubes with Aqueous Suspensions

Symmetry ◽

10.3390/sym11020207 ◽

2019 ◽

Vol 11 (2) ◽

pp. 207 ◽

Cited By ~ 25

Author(s):

Muhammad Jawad ◽

Zahir Shah ◽

Saeed Islam ◽

Jihen Majdoubi ◽

I. Tlili ◽

...

Keyword(s):

Boundary Layer ◽

Carbon Nanotubes ◽

Differential Equations ◽

Thermal Radiation ◽

Temperature Profile ◽

Viscous Dissipation ◽

Single Wall Carbon Nanotubes ◽

Nonlinear Thermal Radiation ◽

Aqueous Suspensions ◽

The Impact

The aim of this article is to study time dependent rotating single-wall electrically conducting carbon nanotubes with aqueous suspensions under the influence of nonlinear thermal radiation in a permeable medium. The impact of viscous dissipation is taken into account. The basic governing equations, which are in the form of partial differential equations (PDEs), are transformed to a set of ordinary differential equations (ODEs) suitable for transformations. The homotopy analysis method (HAM) is applied for the solution. The effect of numerous parameters on the temperature and velocity fields is explanation by graphs. Furthermore, the action of significant parameters on the mass transportation and the rates of fiction factor are determined and discussed by plots in detail. The boundary layer thickness was reduced by a greater rotation rate parameter in our established simulations. Moreover, velocity and temperature profiles decreased with increases of the unsteadiness parameter. The action of radiation phenomena acts as a source of energy to the fluid system. For a greater rotation parameter value, the thickness of the thermal boundary layer decreases. The unsteadiness parameter rises with velocity and the temperature profile decreases. Higher value of augments the strength of frictional force within a liquid motion. For greater and ; the heat transfer rate rises. Temperature profile reduces by rising values of .

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MHD mixed convection stagnation-point flow of a viscoelastic fluid towards a stretching sheet in a porous medium with heat generation and radiation

Canadian Journal of Physics ◽

10.1139/cjp-2013-0702 ◽

2015 ◽

Vol 93 (5) ◽

pp. 532-541 ◽

Cited By ~ 4

Author(s):

M. Modather M. Abdou ◽

E. Roshdy EL-Zahar ◽

Ali J. Chamkha

Keyword(s):

Magnetic Field ◽

Heat Transfer ◽

Porous Medium ◽

Differential Equations ◽

Thermal Radiation ◽

Stagnation Point ◽

Viscoelastic Fluid ◽

Heat Generation ◽

Stretching Sheet ◽

Heat Transfer Characteristics

An analysis was carried out to study the effect of thermal radiation on magnetohydrodynamic boundary layer flow and heat transfer characteristics of a non-Newtonian viscoelastic fluid near the stagnation point of a vertical stretching sheet in a porous medium with internal heat generation–absorption. The flow is generated because of linear stretching of the sheet and influenced by the uniform magnetic field that is applied horizontally in the flow region. Using a similarity variable, the governing nonlinear partial differential equations have been transformed into a set of coupled nonlinear ordinary differential equations, which are solved numerically using an accurate implicit finite difference scheme. A comparison of the obtained results with previously published numerical results is done and the results are found to be in good agreement. The effects of the viscoelastic fluid parameter, magnetic field parameter, nonuniform heat source–sink, and the thermal radiation parameter on the heat transfer characteristics are presented graphically and discussed. The values of the skin friction coefficient and the local Nusselt number are tabulated for both cases of assisting and opposing flows.

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