Lie group analysis of radiation natural convection heat transfer past an inclined porous surface

Lee, J.; Kandaswamy, P.; Bhuvaneswari, M.; Sivasankaran, S.

doi:10.1007/s12206-008-0622-3

Cited by 19 publications

(8 citation statements)

References 9 publications

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“…Because of these applications, several researchers engage with analyzing the heat transfer process in di erent physical contexts. Some of the important studies that underline such concept can be found in references [9][10][11][12][13][14].…”

Section: Introductionmentioning

confidence: 99%

Effects of viscous dissipation and convective heating on convection flow of a second grade liquid over a stretching surface: Analytical and numerical study

Eswaramoorthi¹,

Sivasankaran

Rajan³

et al. 2018

Scientia Iranica

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The e ects of viscous dissipation and convective boundary condition on the two-dimensional convective ow of a second-grade liquid over a stretchable surface with suction/injection and heat generation were investigated. The governing partial di erential equations were reduced into a dimensionless coupled system of nonlinear ordinary di erential equations by appropriate similarity transformation. Then, they were solved analytically by Homotopy Analysis Method (HAM) and numerically by fourth-order Runge-Kutta method with shooting technique. The HAM and numerical results of the local skin friction and local Nusselt number were compared for various emerging parameters. It was found that the momentum boundary layer thickness grew by raising the value of the viscoelastic parameter.

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Section: Introductionmentioning

confidence: 99%

Effects of viscous dissipation and convective heating on convection flow of a second grade liquid over a stretching surface: Analytical and numerical study

Eswaramoorthi¹,

Sivasankaran

Rajan³

et al. 2018

Scientia Iranica

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“…Bhuvaneswari et al [20] mentioned that the study of convective energy transport involved in the occurrence of thermal radiation has been brought into many scholars' attention due to its wide range of applications. Lee et al [21] used Lie group analysis to investigate the e ect of radiation on free convection ow past an inclined plate in a saturated porous medium. The e ects of radiation and Hall currents on MHD ow over a plate were investigated by Das et al [22].…”

Section: Introductionmentioning

confidence: 99%

Soret and Dufour effects on doubly diffusive convection of nanofluid over a wedge in the presence of thermal radiation and suction

et al. 2018

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This paper investigates the e ects of thermal radiation, Dufour, and Soret e ects on doubly di usive convective heat transfer of nanoliquid over a wedge in the presence of wall suction. The governing equations are transformed to nonlinear ordinary di erential equations using similarity transformation. The resulting system is solved numerically by the fourth-order Runge-Kutta-Gill method with a shooting technique and a Newton-Raphson method. The solutions are expressed in terms of velocity, temperature, solutal concentration, and volume fraction pro les. The e ects of pertinent parameters involved in the problem such as wedge angle, thermal radiation, Brownian motion, thermophoresis, Soret number, and Dufour number on the skin friction coe cient, local Nusselt number, and local Sherwood number are discussed in detail.

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“…They noticed that the local skin friction decreases and local heat transfer increases upon the increase of the radiation parameter. Lee et al [12] and Bhuvaneswari et al [13] also explored free convection and heat transfer of an incompressible uid with radiation e ect in a porous medium. The combined MHD convection of an incompressible uid with heat generation and radiation at a stagnation-point was studied by Makinde [14] and Hayat [15].…”

Section: Introductionmentioning

confidence: 99%

Chemical reaction, soret and dufour effects on MHD mixed convection stagnation point flow with radiation and slip condition

2017

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Abstract. The main aim of this study is to present the e ects of Soret & Dufour on MHD mixed convection ow of a viscous uid towards a vertical plate embedded in a porous medium in the existence of slip, radiation and chemical reaction. The numerical solutions are acquired using shooting method, and the governing equations are reformed into ordinary di erential equations by similarity transformation. The present results compared with previously presented works are found in good agreement on several distinct cases. The e ects of di erent parameters on velocity, temperature, and concentration distributions are illustrated graphically. The variation of diverse parameters on local skin friction, rates of heat, and mass transfer is obtainable in tabular arrangement. The velocity and temperature increase on increasing the Dufour parameter, and the concentration pro les decrease when chemical reaction parameter increases.

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Lie group analysis of radiation natural convection heat transfer past an inclined porous surface

Cited by 19 publications

References 9 publications

Effects of viscous dissipation and convective heating on convection flow of a second grade liquid over a stretching surface: Analytical and numerical study

Effects of viscous dissipation and convective heating on convection flow of a second grade liquid over a stretching surface: Analytical and numerical study

Soret and Dufour effects on doubly diffusive convection of nanofluid over a wedge in the presence of thermal radiation and suction

Chemical reaction, soret and dufour effects on MHD mixed convection stagnation point flow with radiation and slip condition

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