MHD flow and heat transfer characteristics of Williamson nanofluid over a stretching sheet with variable thickness and variable thermal conductivity

Reddy, Cherlacola Srinivas; Kishan, N.; Rashidi, Majid

doi:10.1016/j.trmi.2017.02.004

Cited by 123 publications

(49 citation statements)

References 32 publications

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“…Also Table 1 indicates that the convergence of the HAM solution for several iterations. In Table 2, comparative investigation has been reported for the Rashidi et al [45] and others with the present result (HAM). Numerical results for the SFC, NN and SN for various parameters are determined in Table 3.…”

Section: Resultsmentioning

confidence: 56%

“…The Eq. (6) trivially holds while other equations give [45] With the subsequent boundary conditions (BCs):…”

Section: Mathematical Formulationsmentioning

confidence: 99%

“…The transformed boundary layer approximations for velocity, energy and concentrations are contemplated by the homotopy analytic method (HAM). Some prominent literature on the HAM are [29][30][31][32][33][34][35][36][37][38][39][40][41][42][43][44][45][46][47] and the references therein. The dimensionless velocity, temperature and nanoparticles concentration are discussed in the form of graphs in view of several governing parameters.…”

Section: Introductionmentioning

confidence: 99%

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Analytical study for MHD flow of Williamson nanofluid with the effects of variable thickness, nonlinear thermal radiation and improved Fourier’s and Fick’s Laws

2020

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The key aim of the present work is to analyze the magnetohydrodynamic 2D flow of Williamson type nanofluid. Heat and mass transfer impacts are carried out in the manifestation of nonlinear thermal radiation, Cattaneo-Christov heat and mass flux models and varying thicker surface. By applying the appropriate similarity transformations, the mathematical equations of velocity, temperature and volume fraction transform to NODEs. An analytical scheme is pragmatic to estimate the convergence solutions in terms of power series. The dimensionless velocity profile, temperature profile and nanoparticle volume fraction with the administrative physical aspects are depicted through graphs. It is evidently ostensible that the dimensionless velocity declines for the augmented index parameter and wall thickness while cumulative values of M and , the horizontal fluid velocity decreases. Temperature specie upsurges with rising of Nb, Nt, n, , R d , w and M. Consequently demotes with the higher values of Pr and De 1 . Nanoparticle volumetric specie escalates with the growing effects of Nt, while it diminishes with Nb, Sc and De 2 . Comparison is the key procedure for validation our results with the earlier literature.

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Section: Resultsmentioning

confidence: 56%

“…The Eq. (6) trivially holds while other equations give [45] With the subsequent boundary conditions (BCs):…”

Section: Mathematical Formulationsmentioning

confidence: 99%

Section: Introductionmentioning

confidence: 99%

See 1 more Smart Citation

Analytical study for MHD flow of Williamson nanofluid with the effects of variable thickness, nonlinear thermal radiation and improved Fourier’s and Fick’s Laws

2020

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“…They submitted that the thermal stratification effect reduces temperature. Reddy et al [7] investigated the MHD flow and heat transfer of Williamson nanofluid over a variable thickness sheet with variable thermal conductivity and identified that the velocity profile decreases with the wall thickness parameter when m < 1. Daniel et al [8] examined the effect of thermal radiation on electrical MHD flow of nanofluid over a stretching sheet with variable thickness and concluded that the thermal radiation did impact the nanofluid temperature.…”

Section: Introductionmentioning

confidence: 99%

A New Computational Technique Design for EMHD Nanofluid Flow Over a Variable Thickness Surface With Variable Liquid Characteristics

2020

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The objective of this paper comprises two key aspects: to establish descriptive mathematical models for constant and variable fluid flows over a variable thickness sheet by inducting applied electric and magnetic fields, porosity, radiative heat transfer, and heat generation/absorption, and to seek their solution by constructing a novel numerical method, the Simplified Finite Difference Method (SFDM). We resort to similarity transformations to implicate partial differential equations (PDEs) into a set of ordinary differential equations (ODEs). Optimal results for a pair of ODEs obtained from SFDM are assessed by drawing a comparison with bvp4c and existing literature values. SFDM has been implemented in MATLAB for both constant and variable fluid properties. Tabulated numerical values of the skin friction coefficient and local Nusselt and Sherwood numbers are measured and analyzed against different parameters. The influence of distinct parameters on velocity, temperature, and nanoparticle volume fraction are explained in great detail via diagrams. The skin friction coefficient for variable fluid properties is greater than for constant fluid properties. However, the local Nusselt number is lower for variable fluid properties than with constant fluid properties. Surprisingly, high-precision computational results are achieved from the SFDM.

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“…They observed that the temperature is increased as the value of the Hartmann number increases. Reddy et al 37 discussed the Williamson flow of nanofluid past the stretching surface under the influence of MHD. Furthermore, the stretching surface was not of uniform thickness and thermal conductivity of the fluid was not uniform.…”

Section: Introductionmentioning

confidence: 99%

Numerical study focusing on the entropy analysis of MHD squeezing flow of a nanofluid model using Cattaneo–Christov theory

2018

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The present study gives an account of the heat transfer characteristics of the squeezing flow of a nanofluid between two flat plates with upper plate moving vertically and the lower in the horizontal direction. Tiwari and Das nanofluid model has been utilized to give a comparative analysis of the heat transfer in the Cu-water and Al 2 O 3 -water nanofluids with entropy generation. The modeling is carried out with the consideration of Lorentz forces to observe the effect of magnetic field on the flow. The Joule heating effect is included to discuss the heat dissipation in the fluid and its effect on the entropy of the system. The nondimensional ordinary differential equations are solved using the Keller box method to assess the numerical results which are presented by the graphs and tables. An interesting observation is that the entropy is generated more near the lower plate as compared with that at the upper plate. Also, the heat transfer rate is found to be higher for the

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MHD flow and heat transfer characteristics of Williamson nanofluid over a stretching sheet with variable thickness and variable thermal conductivity

Cited by 123 publications

References 32 publications

Analytical study for MHD flow of Williamson nanofluid with the effects of variable thickness, nonlinear thermal radiation and improved Fourier’s and Fick’s Laws

Analytical study for MHD flow of Williamson nanofluid with the effects of variable thickness, nonlinear thermal radiation and improved Fourier’s and Fick’s Laws

A New Computational Technique Design for EMHD Nanofluid Flow Over a Variable Thickness Surface With Variable Liquid Characteristics

Numerical study focusing on the entropy analysis of MHD squeezing flow of a nanofluid model using Cattaneo–Christov theory

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