Nonequivalent similarity reductions of steady 2D thermal boundary layer equations for an incompressible laminar flow over a continuous moving hot surface

Soh, C. Wafo; Phiri, P.A.; Pooe, Charlemagne

doi:10.1016/j.fluiddyn.2005.08.002

Cited by 3 publications

(2 citation statements)

References 16 publications

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“…Recently, Soh (2005) has used Lie symmetry techniques to obtain all non-similar and similarity reductions of a nonlinear diffusion equation arising in the study of the flow of a charged non-Newtonian fluid over a flat plate. Soh et al (2005) used symmetry methods to obtain non-equivalent similarity reductions of the steady 2D thermal boundary layer equations of an incompressible laminar flow. Hayat et al (2005) examined the unsteady flow of a hydrodynamic fluid past a porous plate by implementation of the Lie group method.…”

Section: Introductionmentioning

confidence: 99%

Scaling Transformation for the Effect of Temperature-Dependent Fluid Viscosity with Thermophoresis Particle Deposition on MHD-Free Convective Heat and Mass Transfer Over a Porous Stretching Surface

Kandasamy

Muhaimin

2009

Transp Porous Med

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This article concerns with a steady two-dimensional flow of an electrically conducting incompressible fluid over a vertical stretching sheet. The flow is permeated by a uniform transverse magnetic field. The fluid viscosity is assumed to vary as a linear function of temperature. A scaling group of transformations is applied to the governing equations. The system remains invariant due to some relations among the parameters of the transformations. After finding three absolute invariants, a third-order ordinary differential equation corresponding to the momentum equation, and two second-order ordinary differential equations corresponding to energy and diffusion equations are derived. The equations along with the boundary conditions are solved numerically. It is found that the decrease in the temperature-dependent fluid viscosity makes the velocity to decrease with the increasing distance of the stretching sheet. At a particular point of the sheet, the fluid velocity decreases with the decreasing viscosity but the temperature increases in this case. Impact of thermophoresis particle deposition in the presence of temperature-dependent fluid viscosity plays an important role on the concentration boundary layer. The results, thus, obtained are presented graphically and discussed.

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Section: Introductionmentioning

confidence: 99%

Scaling Transformation for the Effect of Temperature-Dependent Fluid Viscosity with Thermophoresis Particle Deposition on MHD-Free Convective Heat and Mass Transfer Over a Porous Stretching Surface

Kandasamy

Muhaimin

2009

Transp Porous Med

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show abstract

“…Recently, Soh (2005) has used Lie symmetry techniques to obtain all non-similar and similarity reductions of a non-linear diffusion equation arising in the study of the flow of a charged non-Newtonian fluid over a flat plate. Soh et al (2005) used symmetry methods to obtain non-equivalent similarity reductions of the steady two-dimensional thermal boundary layer equations of an incompressible laminar flow. Hayat et al (2005) examined the unsteady flow of a hydrodynamic fluid past a porous plate by implementation of the Lie group method.…”

Section: Introductionmentioning

confidence: 99%

Radiation effects on hydromagnetic free convective and mass transfer flow of a gas past a circular cylinder with uniform heat and mass flux

El-Hakiem

2009

International Journal of Numerical Methods for Heat &Amp; Fluid Flow

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Purpose -The purpose of this paper is to highlight the effect of combined heat and mass transfer characteristics of magnetohydrodynamic (MHD) free convection flow of an electrically conducting Newtonian fluid on circular cylinder with uniform heat/mass flux, taking into consideration the effects of uniform transverse magnetic field and thermal radiation. Design/methodology/approach -An analysis is performed to study the momentum, combined heat and mass transfer characteristics of MHD free convection flow past a circular cylinder surface under the effect of thermal radiation with uniform heat and mass flux. By using Lie group method, the infinitesimal generators of governing equations are calculated. Using the resulting generators for the boundary value problem, the equations are transformed into an ordinary differential system. Numerical solutions of the outcoming non-linear differential equations are found by using a combination of a Runge-Kutta algorithm and shooting technique. Findings -Application of a magnetic field normal to the flow of an electrically conducting fluid gives rise to a resistive force that acts in the direction opposite to that of the flow. This resistive force tends to slow down the motion of the fluid along the cylinder and causes increases in its temperature and concentration and hence the respective changes in the wall shear stress, local Nusselt and Sherwood numbers as the magnetic parameter, respectively are changed with various values of angle which is measured in degrees from the front stagnation point on the surface. It is noted that these coefficients reduced as the magnetic parameter increases. Also, the effect of thermal radiation works as a heat source and so the quantity of heat added to the fluid increases, therefore the local Nusselt number reduced as the radiation parameter increases. Research limitations/implications -An analysis is performed to study the momentum, combined heat and mass transfer characteristics of MHD free convection flow of an electrically conducting Newtonian fluid on circular cylinder with uniform heat/mass flux with the effects of uniform transverse magnetic field and thermal radiation. Practical implications -This paper provides a very useful source of coefficient of heat and mass transfer values for engineers planning to transfer heat and mass by using electrically conducting gases with uniform heat/mass flux. Originality/value -The combined heat and mass transfer of an electrically conducting gases on free convection flow in the presence of magneto and thermal radiation effects are investigated and can be used by different engineers working on industry, geothermal, geophysical, technological and engineering applications.

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Approximate symmetries and solutions of the hyperbolic heat equation

Diatta¹,

Soh²,

Khalique³

2008

Applied Mathematics and Computation

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Nonequivalent similarity reductions of steady 2D thermal boundary layer equations for an incompressible laminar flow over a continuous moving hot surface

Cited by 3 publications

References 16 publications

Scaling Transformation for the Effect of Temperature-Dependent Fluid Viscosity with Thermophoresis Particle Deposition on MHD-Free Convective Heat and Mass Transfer Over a Porous Stretching Surface

Scaling Transformation for the Effect of Temperature-Dependent Fluid Viscosity with Thermophoresis Particle Deposition on MHD-Free Convective Heat and Mass Transfer Over a Porous Stretching Surface

Radiation effects on hydromagnetic free convective and mass transfer flow of a gas past a circular cylinder with uniform heat and mass flux

Approximate symmetries and solutions of the hyperbolic heat equation

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