Effects of thermal radiation on MHD viscous fluid flow and heat transfer over nonlinear shrinking porous sheet

Shit, G. C.; Haldar, R.

doi:10.1007/s10483-011-1448-6

Cited by 23 publications

(8 citation statements)

References 23 publications

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“…Using implicit finite difference scheme Laganathan et al [9] solved a coupled non-linear momentum and energy equations for the investigation of the effect of thermal conductivity on the free convective flow over a semi-infinite vertical plate under the influence of transverse magnetic field. Shit and Haldar [10] investigated the effects of thermal radiation on the magnetohydrodynamic flow and heat transfer over nonlinear shrinking porous sheet. Jang and Leu [11] analyzed vortex instability in the Newtonian fluid flow and estimated the effect of variable viscosity.…”

Section: Introductionmentioning

confidence: 99%

Mixed Convection MHD Flow of Viscoelastic Fluid in a Porous Medium past a Hot Vertical Plate

Ghosh¹,

Shit²

2012

WJM

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The boundary layer flow of a steady incompressible and visco-elastic fluid with short memory (obeying Walters' B fluid model) passing over a hot vertical porous plate has been investigated in the presence of transverse magnetic field. The momentum and energy equations are reduced to couple non-linear partial differential equations along with the boundary conditions by using a suitable similarity transformation. These partial differential equations are transformed to a system of coupled non-linear ordinary differential equations by employing a perturbation technique. The system is solved by developing a suitable numerical procedure such as implicit finite difference scheme along with Newton's linearization method. The computational results for the flow quantities have presented graphically for the effects of thermal radiation, viscous dissipation, heat generation/absorption, visco-elasticity, Hartmann number and the permeability parameter. Results demonstrated that Prandtl number has more pronouncing effect on the temperature distribution rather than the viscosity parameter as well as the thermal radiation parameter. Further the velocity gradient changes significantly due to the presence of temperature dependent variable viscosity.

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Section: Introductionmentioning

confidence: 99%

Mixed Convection MHD Flow of Viscoelastic Fluid in a Porous Medium past a Hot Vertical Plate

Ghosh¹,

Shit²

2012

WJM

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“…Thermal radiation effects might also play an important role in controlling heat transfer in industry where the quality of the final product be determined on the heat controlling aspects to some extent. The effects of radiation on heat transfer problems have considered by Raptis [3], Makinde [4], Ibrahim et at [5], Hayat et at [6], Pal [7], Shit and Haldar [8]. In recent times Das [9] investigated the impact of thermal radiation on MHD slip flow over a flat plat with variable fluid properties.…”

Section: Introductionmentioning

confidence: 99%

Unsteady MHD flow over a linearly stretching surface in CuO and 〖Al〗_2 O_3 nanofluids in presence of thermal radiation

2018

IJMTER

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Abstract-In this paper, the problem of MHD flows of nanofluids over an unsteady stretching surface in presence of thermal radiation is analyzed. The nanofluids taken into consideration are Copper Oxide (CuO) and Alumina (Al2O3). The boundary layer partial differential equations are first changed into a system of ordinary differential equation using similarity transformation. The differential equations are solved for variant values of governing parameters by using the function "bvp4c" of MATLAB. The consequences of variant parameters such as radiation parameter Nr, Solid volume fraction ϕ of the nanoparticles, Prandtl number Pr, Lewis Number Le, the Brownian motion number Nb, thermopheresis number Nt and combined magnetic parameter M on velocity, temperature and concentration profile. The obtained results are perceived through plots.

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“…Mostafa et al (2011) carried out the magnetohydrodynamic boundary layer flow and heat transfer of an electrically conducting micropolar fluid over a nonlinear stretching surface with variable wall heat flux in the presence of heat generation/absorption. Shit and Haldar (2011b) numerically investigated the effects of thermal radiation and variable fluid properties on the MHD fluid flow over a nonlinear porous shrinking sheet.…”

Section: Introductionmentioning

confidence: 99%

Hydromagnetic Flow over an Inclined Non-Linear Stretching Sheet with Variable Viscosity in the Presence of Thermal Radiation and Chemical Reaction

2014

JAFM

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An analysis has been made to investigate the effects of thermal radiation on the magnetohydrodynamic (MHD) flow and heat transfer over an inclined non-linear stretching sheet. The surface velocity of the stretching sheet and the transverse magnetic field are assumed to vary as a power function of the distance from the origin. The effect of internal heat generation/absorption is taken into account. The fluid viscosity is assumed to vary as an inverse linear function of temperature. A generalized similarity transformation is used to reduce the governing partial differential equations to a system of non-linear coupled ordinary differential equations, and is solved numerically by using a finite difference scheme. The numerical results concerned with the velocity, temperature and concentration distributions as well as the skin-friction coefficient and the Nusselt number for various values of the dimensionless parameters of interest are obtained. Some important findings reported in this paper reveal that the effect of thermal radiation and heat generation/absorption have significant role in controlling the rate of heat transfer in the boundary layer region.

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Effects of thermal radiation on MHD viscous fluid flow and heat transfer over nonlinear shrinking porous sheet

Cited by 23 publications

References 23 publications

Mixed Convection MHD Flow of Viscoelastic Fluid in a Porous Medium past a Hot Vertical Plate

Mixed Convection MHD Flow of Viscoelastic Fluid in a Porous Medium past a Hot Vertical Plate

Unsteady MHD flow over a linearly stretching surface in CuO and 〖Al〗_2 O_3 nanofluids in presence of thermal radiation

Hydromagnetic Flow over an Inclined Non-Linear Stretching Sheet with Variable Viscosity in the Presence of Thermal Radiation and Chemical Reaction

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