DTM- Padé Modeling of Natural Convective Boundary Layer Flow of a Nanofluid Past a Vertical Surface

  title={DTM- Pad{\'e} Modeling of Natural Convective Boundary Layer Flow of a Nanofluid Past a Vertical Surface},
  author={Mohammad Mehdi Rashidi and O. Anwar B{\'e}g and Mostafa Asadi and M. T. Rastegari},
In this paper, we study theoretically the natural convective boundary-layer flow of a nanofluid past a vertical plate. The model used for the nanofluid incorporates the effects of Brownian motion and thermophoresis. A similarity solution is developed. The similarity transformations are applied to reduce the governing partial differential equations to a set of nonlinear coupled ordinary differential equations in dimensionless form. A mathematical technique, namely the Differential Transform… 


The Differential Transform Method combined with Pade approximants (DTM-Pade simulation) is applied to study the natural convection boundary layer flow, heat and mass transfer of a nanofluid from a

Radiative heat transfer in a hydromagnetic nanofluid past a non-linear stretching surface with convective boundary condition

Heat transfer characteristics of a two-dimensional steady hydromagnetic natural convection flow of nanofluids over a non-linear stretching sheet taking into account the effects of radiation and


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DTM is shown to be a powerful tool providing engineers with an alternative simulation approach to other traditional methods for multi-phase computational biofluid mechanics and finds applications in haemotological separation and biotechnological processing.

Hydromagnetic Boundary Layer Flow and Heat Transfer Characteristics of a Nanofluid over an Inclined Stretching Surface in the Presence of a Convective Surface: A Comprehensive Study

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Mathematical Modelling of Radiative Hydromagnetic Thermosolutal Nanofluid Convection Slip Flow in Saturated Porous Media

High temperature thermal processing of nanomaterials is an active area of research. Many techniques are being investigated to manipulate properties of nanomaterials for medical implementation. In

Heat Transfer Analysis of MHD Three Dimensional Casson Fluid Flow Over a Porous Stretching Sheet by DTM-Padé

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A Novel Analytical Solution of the Thermal Boundary-Layer over a Flat Plate with a Convective Surface Boundary Condition Using DTM-Padé

  • M. RashidiE. Erfani
  • Mathematics, Engineering
    2009 International Conference on Signal Processing Systems
  • 2009
In this paper, a novel analytical method (DTM-Pade) is proposed for solving nonlinear differential equations, especially for boundary-layer and natural convection problems. This method is based on

Thermal Instability in a Porous Medium Layer Saturated by a Nanofluid: Brinkman Model

The onset of convection in a horizontal layer of a porous medium saturated by a nanofluid is studied analytically. The model used for the nanofluid incorporates the effects of Brownian motion and

Combined Effects of Temperature and Velocity Jump on the Heat Transfer, Fluid Flow, and Entropy Generation Over a Single Rotating Disk

The present work examines the effects of temperature and velocity jump conditions on heat transfer, fluid flow, and entropy generation. As the physical model, the axially symmetrical steady flow of a

New Analytical Solution of the Three-Dimensional Navier-Stokes Equations

The purpose of this study is to implement a new analytical method (the DTM-Pade technique, which is a combination of the differential transform method (DTM) and the Pade approximation) for solving