Impact of Nonlinear Thermal Radiation on MHD Nanofluid Thin Film Flow over a Horizontally Rotating Disk

Shah, Zahir; Dawar, Abdullah; Kumam, Poom; Khan, Waris; Islam, Saeed

doi:10.3390/app9081533

Cited by 67 publications

(35 citation statements)

References 50 publications

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“…Kumam et al [32] probed the MHD Casson nanofluid flow. Shah et al [33] deliberated the flow of MHD thin film fluid with radiation impact. The MHD Casson nanofluid flow in a cylindrical tube was considered by Ali et al [34].…”

Section: Introductionmentioning

confidence: 99%

Study of the Couple Stress Convective Micropolar Fluid Flow in a Hall MHD Generator System

et al. 2019

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The steady non-isothermal convective heat transfer in magnetohydrodynamic micropolar fluid flow over a non-linear extending wall is examined. The fluid flow is treated with strong magnetic field. The influence of magnetic field, Hall current, and couple stress are mainly focused in this work. The fluid flow problem is solved analytically. The impact of developing dimensionless parameters on primary, secondary, and angular velocity components and temperature profile are determined through graphs. The primary velocity component has reduced throughout the flow study. The greater magnetic parameter, Hall parameter and couple stress parameter have increased the secondary velocity component while the local Grashof number has reduced the secondary velocity component. The greater magnetic parameter and Hall parameter have reduced the angular velocity component. The greater magnetic parameter has increased the temperature profile while the Hall parameter and local Grashof number have decreased the temperature profile. The impact of developing dimensionless parameters on skin friction coefficient and local Nusselt number are determined through Tables.

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Section: Introductionmentioning

confidence: 99%

Study of the Couple Stress Convective Micropolar Fluid Flow in a Hall MHD Generator System

et al. 2019

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“…To obtain the analytical solution of Equations to , we use HAM and the results obtained from HAM are compared with numerical results obtained by using the parallel shooting method. Many problems in mathematics are complex in nature and to find the exact solution is almost very difficult or even impossible.…”

Section: Resultsmentioning

confidence: 99%

Soret and Dufour effects between two rectangular plane walls with heat source/sink

Ali

Iqbal

Marwat

et al. 2019

Heat Trans. Asian Res.

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This study addresses the thermo-diffusion and the diffusion-thermo phenomena in a semi-infinite absorbent channel whose walls are contracting/expanding, with heat source/sink effects. The governing partial differential equations with suitable boundary conditions are transformed to a system of dimensionless ordinary differential equations. An analytic solution of the problem has been found using a technique called homotopy analysis method (HAM). HAM gives consistently valid answers to the problem over an extensive variety of parameters and also provides better accuracy. To validate the analytical results, a comparison has been presented with a numerical solution calculated by using the parallel shooting method. The effects of dimensionless parameters, that is, deformation parameter, Reynolds number, Soret and Dufour numbers, and heat source/sink parameter on the expressions of velocity, temperature, and concentration profiles are analyzed graphically to understand the physics of the deformable channel. It has been noted that the velocity across the channel is higher for the expanding channel, as compared to that for the contracting channel. Also the Soret and Dufour number increases the temperature of the fluid, and decreases the concentration. The temperature profile has an increasing behavior in the case of heat source, and a decreasing behavior in the case of heat sink. K E Y W O R D S deformable porous channel, heat and mass transfer, heat source/sink, incompressible fluid, Soret and Dufour effects | INTRODUCTIONThe study of laminar flow inside parallel porous walls is substantial because of its applications in engineering, biological sciences, and chemistry. The flow between parallel porous walls is an old question and the models for such flow for different physical situations improved with the passage of time. The simplest model for the flow in infinite parallel walls was described by Poiseuille 1 with the assumptions of steady, laminar, incompressible, and one dimensional flow. Hagen and Poiseuille had presented the theory of the flow through a straight pipe and considered rotational symmetry and constant pressure gradient. Similarly, flow in an infinite long channel with top suction and bottom injection, and unsteady flow in an infinite channel with oscillating pressure are also discussed in the literature. These initial models were expressed in one dimension and were consistent to certain approximations. Berman 2 was the first to consider laminar, two dimensional, incompressible, viscous flows that occurred due to the uniform suction between rectangular parallel and semi-infinite porous walls. He derived his solution using the perturbation technique assuming that Reynolds number is small. His work was later extended by various authors for numerous values of Reynolds number and varying flow conditions (see Sellars, 3 Proudman, 4 and Terill 5 ). Oscillatory flow in a channel has been studied by Ali and Asghar 6 for the case of small suction. Marwat and Asghar 7 investigated the flow between inclined plane w...

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“…The impact of thermal radiations and Hall current is recently explored by Shah et al [41,42] for rotating surfaces. A detailed study on rotating surfaces with stretching sheet performed by Shah et al can be found in [43][44][45][46][47][48][49]. CuO containing nanofluid thin film flow inside a semi-annulus region is examined by Sheikholeslami and Bhatti [50] numerically with constant magnetic field.…”

Section: Introductionmentioning

confidence: 99%

Viscoelastic MHD Nanofluid Thin Film Flow over an Unsteady Vertical Stretching Sheet with Entropy Generation

et al. 2019

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The boundary-layer equations for mass and heat energy transfer with entropy generation are analyzed for the two-dimensional viscoelastic second-grade nanofluid thin film flow in the presence of a uniform magnetic field (MHD) over a vertical stretching sheet. Different factors, such as the thermophoresis effect, Brownian motion, and concentration gradients, are considered in the nanofluid model. The basic time-dependent equations of the nanofluid flow are modeled and transformed to the ordinary differential equations system by using similarity variables. Then the reduced system of equations is treated with the Homotopy Analysis Method to achieve the desire goal. The convergence of the method is prescribed by a numerical survey. The results obtained are more efficient than the available results for the boundary-layer equations, which is the beauty of the Homotopy Analysis Method, and shows the consistency, reliability, and accuracy of our obtained results. The effects of various parameters, such as Nusselt number, skin friction, and Sherwood number, on nanoliquid film flow are examined. Tables are displayed for skin friction, Sherwood number, and Nusselt number, which analyze the sheet surface in interaction with the nanofluid flow and other informative characteristics regarding this flow of the nanofluids. The behavior of the local Nusselt number and the entropy generation is examined numerically with the variations in the non-dimensional numbers. These results are shown with the help of graphs and briefly explained in the discussion. An analytical exploration is described for the unsteadiness parameter on the thin film. The larger values of the unsteadiness parameter increase the velocity profile. The nanofluid film velocity shows decline due the increasing values of the magnetic parameter. Moreover, a survey on the physical embedded parameters is given by graphs and discussed in detail.

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Impact of Nonlinear Thermal Radiation on MHD Nanofluid Thin Film Flow over a Horizontally Rotating Disk

Cited by 67 publications

References 50 publications

Study of the Couple Stress Convective Micropolar Fluid Flow in a Hall MHD Generator System

Study of the Couple Stress Convective Micropolar Fluid Flow in a Hall MHD Generator System

Soret and Dufour effects between two rectangular plane walls with heat source/sink

Viscoelastic MHD Nanofluid Thin Film Flow over an Unsteady Vertical Stretching Sheet with Entropy Generation

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