On the Exact Solution for Axisymmetric Flow and Heat Transfer over a Nonlinear Radially Stretching Sheet

Shahzad, Azeem; Ali, Ramzan; Khan, Masood

doi:10.1088/0256-307x/29/8/084705

Cited by 80 publications

(44 citation statements)

References 13 publications

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“…The magnetic field acts in the positive z-direction normal to sheet. In this study, B(r, t) generalizes the magnetic field term provided previously in [7,8] to…”

Section: Formulation Of the Problemmentioning

confidence: 97%

See 1 more Smart Citation

On Unsteady Three-Dimensional Axisymmetric MHD Nanofluid Flow with Entropy Generation and Thermo-Diffusion Effects

Almakki¹,

Dey²,

Mondal³

et al. 2017

Preprint

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Abstract:We investigate entropy generation in unsteady three-dimensional axisymmetric MHD nanofluid flow over a non-linearly stretching sheet. The flow is subject to thermal radiation and a chemical reaction. The conservation equations were solved using the spectral quasi-linearization method. The novelty of the work is in the study of entropy generation in three-dimensional axisymmetric MHD nanofluid and the choice of the spectral quasilinearization method as the solution method. The effects of Brownian motion and thermophoresis are also taken into account when the nanofluid particle volume fraction on the boundary in passively controlled. The results show that as the Hartman number increases, both the Nusselt number and the Sherwood number decrease whereas the skin friction increases. It is further shown that an increase in the thermal radiation parameter corresponds to a decrease in the Nusselt number. Moreover, entropy generation increases with the physical parameters.

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“…The magnetic field acts in the positive z-direction normal to sheet. In this study, B(r, t) generalizes the magnetic field term provided previously in [7,8] to…”

Section: Formulation Of the Problemmentioning

confidence: 97%

“…In MHD flow the induced currents in the fluid generate forces which, in turn, modify the flow field. Shahzad et al [8], provided the exact solution for the MHD flow and heat transfer from a viscous incompressible fluid and a nonlinear radially stretching sheet in a porous medium.…”

Section: Introductionmentioning

confidence: 99%

On Unsteady Three-Dimensional Axisymmetric MHD Nanofluid Flow with Entropy Generation and Thermo-Diffusion Effects

Almakki¹,

Dey²,

Mondal³

et al. 2017

Preprint

View full text Add to dashboard Cite

show abstract

“…The magnetic field acts in the positive z-direction normal to the sheet. In this study, B(r, t) generalizes the magnetic field term provided previously in [9,10] to:…”

Section: Problem Formulationmentioning

confidence: 99%

“…In MHD flow, the induced currents in the fluid generate forces, which in turn modify the flow field. Shahzad et al [10] presented the exact solution for the MHD flow and heat transfer for a viscous incompressible fluid and a nonlinear sheet stretching radially in a porous medium.…”

Section: Introductionmentioning

confidence: 99%

On Unsteady Three-Dimensional Axisymmetric MHD Nanofluid Flow with Entropy Generation and Thermo-Diffusion Effects on a Non-Linear Stretching Sheet

Almakki

Dey

Mondal

et al. 2017

Entropy

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Abstract:The entropy generation in unsteady three-dimensional axisymmetric magnetohydrodynamics (MHD) nanofluid flow over a non-linearly stretching sheet is investigated. The flow is subject to thermal radiation and a chemical reaction. The conservation equations are solved using the spectral quasi-linearization method. The novelty of the work is in the study of entropy generation in three-dimensional axisymmetric MHD nanofluid and the choice of the spectral quasi-linearization method as the solution method. The effects of Brownian motion and thermophoresis are also taken into account. The nanofluid particle volume fraction on the boundary is passively controlled. The results show that as the Hartmann number increases, both the Nusselt number and the Sherwood number decrease, whereas the skin friction increases. It is further shown that an increase in the thermal radiation parameter corresponds to a decrease in the Nusselt number. Moreover, entropy generation increases with respect to some physical parameters.

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“…3 Later on Vajravelu and Roper 4 analyzed the flow and heat transfer over a stretching sheet with prescribed surface temperature. Many researchers investigated the stretching sheet problems by considering different effects (some studies can be cited [5][6][7][8][9].…”

Section: Introductionmentioning

confidence: 99%

A note on convective heat transfer of an MHD Jeffrey fluid over a stretching sheet

et al. 2015

Self Cite

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This article focuses on the exact solution regarding convective heat transfer of a magnetohydrodynamic (MHD) Jeffrey fluid over a stretching sheet. The effects of joule and viscous dissipation, internal heat source/sink and thermal radiation on the heat transfer characteristics are taken in account in the presence of a transverse magnetic field for two types of boundary heating process namely prescribed power law surface temperature (PST) and prescribed heat flux (PHF). Similarity transformations are used to reduce the governing non-linear momentum and thermal boundary layer equations into a set of ordinary differential equations. The exact solutions of the reduced ordinary differential equations are developed in the form of confluent hypergeometric function. The influence of the pertinent parameters on the temperature profile is examined. In addition the results for the wall temperature gradient are also discussed in detail.

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On the Exact Solution for Axisymmetric Flow and Heat Transfer over a Nonlinear Radially Stretching Sheet

Cited by 80 publications

References 13 publications

On Unsteady Three-Dimensional Axisymmetric MHD Nanofluid Flow with Entropy Generation and Thermo-Diffusion Effects

On Unsteady Three-Dimensional Axisymmetric MHD Nanofluid Flow with Entropy Generation and Thermo-Diffusion Effects

On Unsteady Three-Dimensional Axisymmetric MHD Nanofluid Flow with Entropy Generation and Thermo-Diffusion Effects on a Non-Linear Stretching Sheet

A note on convective heat transfer of an MHD Jeffrey fluid over a stretching sheet

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