The analysis of the suction/injection on the MHD Maxwell fluid past a stretching plate in the presence of nanoparticles by Lie group method

Cao, Limei; Si, Xinhui; Zheng, Liancun; Pang, Huihui

doi:10.1515/phys-2015-0017

Cited by 6 publications

(3 citation statements)

References 22 publications

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“…Jalilpour et al [15] presented a theoretical study to analyze the effect of heat generation/absorption on magnetohydrodynamic stagnation point flow and heat transfer over a porous stretching surface, with prescribed surface heat flux. Cao et al [16] have investigated the magnetohydrodynamic (MHD) Maxwell fluid past a stretching plate with suction/injection in the presence of nanoparticles. By considering investigates steady laminar boundary layer flow of power law fluids past a flat surface with suction or injection and magnetic effects Lin et al [17] investigates steady laminar boundary layer flow of power law fluids past a flat surface with suction or injection and magnetic effects.…”

Section: Introductionmentioning

confidence: 99%

Effect of Nonlinear Thermal Radiation on Boundary Layer Flow of Viscous Fluid over Nonlinear Stretching Sheet with Injection/Suction

Laxmi¹,

Shankar²

2016

JAMP

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The present study reveals the effect of nonlinear thermal radiation and magnetic field on a boundary layer flow of a viscous fluid over a nonlinear stretching sheet with suction or an injection. Using suitable similarity transformations, governing partial differential equations were reduced to higher order ordinary differential equations and further these are solved numerically using of Keller-Box method. Effect of flow controlling parameter on velocity, temperature and nanoparticle fluid concentration, local skin friction coefficient, local Nusselt number and local Sherwood numbers are discussed. It is found that the dimensionless velocity decreases and temperature, concentration are increased with the increasing of magnetic parameter. The temperature profile is an increasing function of thermal radiation when it is increasing.

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Section: Introductionmentioning

confidence: 99%

Effect of Nonlinear Thermal Radiation on Boundary Layer Flow of Viscous Fluid over Nonlinear Stretching Sheet with Injection/Suction

Laxmi¹,

Shankar²

2016

JAMP

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“…See the following literature for more contributions on suction/injection using different geometries. 37–41…”

Section: Introductionmentioning

confidence: 99%

“…See the following literature for more contributions on suction/injection using different geometries. [37][38][39][40][41] Boundary layer flow in the presence of internal heat generation near a vertical porous plate remains an interesting subject of investigation because of the various engineering applications such as thermal insulation, rocket engine, geothermal reservoirs, combustion chamber and so on. Crepeau and Clarkson 42 numerically analysed the natural convection flow near a vertical plate with internal heat generation.…”

Section: Introductionmentioning

confidence: 99%

Mixed convection flow from a convectively heated vertical porous plate with combined effects of suction/injection, internal heat generation and nonlinear thermal radiation

Jha

Samaila

2022

Proceedings of the Institution of Mechanical Engineers, Part E:

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This article explored the mixed convection flow from a convectively heated vertical porous plate influenced by nonlinear thermal radiation with suction/injection. The significant effect of the internal heat generation is also taken into account. The boundary layer approximation equations responsible for the flow characteristics are formulated and translated to ordinary differential equations (ODEs) with the help of the similarity variable. The shooting technique is then employed to reduce the second-order ODEs to an initial value problem which is solved numerically by the Runge-Kutta method in maple software. Some of the results obtained are: that for weak mixed convection, the velocity and fluid temperature decay exponentially with suction whereas appreciating with fluid injection. The radiative heat flux boosts the fluid temperature and in turn propagates the fluid flow. The internal heat generation ([Formula: see text]) serves as a barrier for the heat flow from the left plate surface to the right plate surface except the mixed convection is resiliently sufficient to counter the generated heat and heat conducted via the plate from its left surface. However, for a weak [Formula: see text], the heat transfer from the left to right plate surface is feasible even with weak mixed convection. For [Formula: see text], the wall temperature is less than 1 and the heat transfer flows from the wall into the free stream. However, for [Formula: see text], the heat transfer flow back into the wall. With weak convection and buoyancy effect, the heat transfer could be increased by increasing the internal heat generation but the contrary is true for nonlinear thermal radiation.

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Thermophoresis particle deposition and internal heat generation on MHD flow of an Oldroyd-B nanofluid between radiative stretching disks

Khan

Mahmood

2016

Journal of Molecular Liquids

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The analysis of the suction/injection on the MHD Maxwell fluid past a stretching plate in the presence of nanoparticles by Lie group method

Cited by 6 publications

References 22 publications

Effect of Nonlinear Thermal Radiation on Boundary Layer Flow of Viscous Fluid over Nonlinear Stretching Sheet with Injection/Suction

Effect of Nonlinear Thermal Radiation on Boundary Layer Flow of Viscous Fluid over Nonlinear Stretching Sheet with Injection/Suction

Mixed convection flow from a convectively heated vertical porous plate with combined effects of suction/injection, internal heat generation and nonlinear thermal radiation

Thermophoresis particle deposition and internal heat generation on MHD flow of an Oldroyd-B nanofluid between radiative stretching disks

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