Numerical solution of Williamson fluid flow past a stretching cylinder and heat transfer with variable thermal conductivity and heat generation/absorption

Malik, M.Y.; Bibi, Madiha; Khan, F.A.; Salahuddin, T.

doi:10.1063/1.4943398

Cited by 98 publications

(57 citation statements)

References 23 publications

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“…It is conspicuous from Figure 6 that, as the ω accelerates, the fluid velocity annihilates. The aftermaths conceived for ω on velocity field in this dissertation is in an excellent bargain with the evaluated upshots of Nadeem et al [21], Hayat et al [22], Malik et al [23]. Williamson parameter, ω, has a little influence on the nanofluid velocity; however, the velocity tendency has never been changed.…”

Section: Upshots and Argumentmentioning

confidence: 59%

“…In contrast, the investigation associated with the pseudoplastic Williamson fluid on a stretched surface was carried out by Nadeem et al [21], where the velocity was observed portraying a descending trend owing to the rising value of Williamson parameter. Following the recent practice, the Williamson fluid model, with the assistance of various flow diagrams, was adequately probed by these authors [22][23][24]. It is obvious to be briefly mentioned that Williamson fluids are effectively employed in numerous industrial purposes like food mixing and to analyse the chime movement in the intestine.…”

Section: Introductionmentioning

confidence: 99%

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Energy and Magnetic Flow Analysis of Williamson Micropolar Nanofluid through Stretching Sheet

Rana¹,

Arifuzzaman²,

Reza‐E‐Rabbi³

et al. 2019

IJHT

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A mathematical framework has been designed to speculate the physical aspects of a binary chemical reaction (BCR) and Arrhenius activation energy (ACE) on magnetohydrodynamics Williamson micropolar nanofluid flow through a vertical stretching sheet. The fluid viscosity, electrical and thermal conductivity are presumed as reliant temperature function. Furthermore, the Lorentz force is deployed with an angle to the normal of the fluid flow. The natural transformations have been chosen to determine the non-dimensional regular expressions of the model. A conditionally stable finite difference analysis (explicit) is implemented to establish the computational analysis of the transfigured non-linear system of PDEs. The precision of the present numerical solution has been enriched by accomplishing analysis of stability as well as system convergence of finite difference analysis. The graphical representation, along with the tabular depiction, has been done for narrating the physical behaviour of important parameters extensively on various flow fields. The fluctuation of the boundary layer thickness is traced out with the assistance of streamlines, isotherms, and iso-concentration for the impression of the buoyancy ratio parameter and Lewis number. To draw perfection, achieved consequences of the current solution have been contrasted with some subsisting literature.

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Section: Upshots and Argumentmentioning

confidence: 59%

Section: Introductionmentioning

confidence: 99%

Energy and Magnetic Flow Analysis of Williamson Micropolar Nanofluid through Stretching Sheet

Rana¹,

Arifuzzaman²,

Reza‐E‐Rabbi³

et al. 2019

IJHT

View full text Add to dashboard Cite

show abstract

“…Consider a steady, incompressible, three dimensional axisymmetric flow of Williamson fluid over a rotating disk with heat and mass transfer. The flow is produced by a disk with anisotropic slip rotating infinitely with constant angular velocity  , extended infinitely in 6 the positive half-space of the disk   0  z and initially placed at 0  z . A uniform external magnetic field of strength 0 B is applied normal to the disk.…”

Section: Problem Formulationmentioning

confidence: 99%

“…Malik, et al [5] presented Keller box solution of the homogeneous-heterogeneous reactions on Williamson fluid over a stretching cylinder. Recently, Malik, et al [6] have numerically investigated the effects of variable thermal conductivity and heat generation/absorption on Williamson fluid flow and heat transfer.…”

Section: Introductionmentioning

confidence: 99%

MHD Flow of a Williamson Fluid Over an Infinite Rotating Disk with Anisotropic Slip

Khan

Sultan

2019

J Eng Phys Thermophy

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This study deals with the investigation of MHD flow of Williamson fluid over an infinite rotating disk with the effects of Soret, Dufour, and anisotropic slip. The anisotropic slip and the Soret and Dufour effects are the primary features of this study, which greatly influence the flow, heat and mass transport properties. In simultaneous appearance of heat and mass transfer in a moving fluid, the mass flux generated by temperature gradients is known as the thermal-diffusion or Soret effect and the energy flux created by a composition gradient is called the diffusion-thermo or Dufour effect, however, difference in slip lengths in streamwise and spanwise directions is named as anisotropic slip. The system of nonlinear partial differential equations (PDEs), which governs the flow, heat and mass transfer characteristics, is transformed into ordinary differential equations (ODEs) with the help of von Kármán similarity transformation. A numerical solution of the complicated ODEs is carried out by a MATLAB routine bvp4c. The obtained results of velocity, temperature, concentration, and some physical quantities are displayed through graphs and tables, and their physical discussion is presented.

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“…Considerable consideration has been given to investigate the characteristics of heat transmission mechanism. Many authors [13][14][15][16][17] have utilized the experiential law of heat transfer recognized as Fourier's law. In the last two centuries, Fourier's law was found to be satisfactory for describing the heat transfer phenomenon.…”

Section: Introductionmentioning

confidence: 99%

Non‐Newtonian squashed flow simulation across Darcy‐Forchheimer sensor

Hussain

Zetoon

Ali

et al. 2018

Heat Trans. Asian Res.

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The current mathematical formulation is dedicated to investigate the Darcy‐Forchheimer boundary layer–squeezed hydromagnetic flow of a Casson fluid passing through a sensor surface. The flow phenomenon is occurring in a locally free stream under the combined sway of heat generation and thermic radiation. The energy equation is deliberated with the assistance of Cattaneo‐Christov theory rather than using Fourier's law for conduction of heat. Here, the thermic conductivity is being presumed as a function of temperature. The governing mathematical structure consists of highly nonlinear terms, so a set of regulatory parameters is being accomplished to attain the unpretentious dimensionless equations. This nondimensional structure is then treated numerically to attain the nearly converging results. The significance of substantial parameters such as magnetic factor, radiation parameter, Casson fluid parameter, heat origination, and thermal relaxation time on the flow phenomenon is estimated and presented graphically. Besides this, the factors of engineering interest like the Prandtl number and squeezed flow index with vacillating thermic conductivity have strong effects on the flow behavior of the fluid. It is observed that the magnetic effect causes an expansion in the velocity curve while a reduction is found for squeezed flow index parameter.

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Numerical solution of Williamson fluid flow past a stretching cylinder and heat transfer with variable thermal conductivity and heat generation/absorption

Cited by 98 publications

References 23 publications

Energy and Magnetic Flow Analysis of Williamson Micropolar Nanofluid through Stretching Sheet

Energy and Magnetic Flow Analysis of Williamson Micropolar Nanofluid through Stretching Sheet

MHD Flow of a Williamson Fluid Over an Infinite Rotating Disk with Anisotropic Slip

Non‐Newtonian squashed flow simulation across Darcy‐Forchheimer sensor

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