Effects of radiation and heat source/sink on unsteady MHD boundary layer flow and heat transfer over a shrinking sheet with suction/injection

Bhattacharyya, Krishnendu

doi:10.1007/s11705-011-1121-0

Cited by 94 publications

(52 citation statements)

References 45 publications

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“…Bhattacharyya and Layek [6] showed the behavior of solute distribution in MHD boundary layer flow past a stretching sheet. Furthermore, many vital properties of MHD flow over stretching sheet were explored in various articles [7][8][9][10][11][12] in the literature. Several important investigations on the flow due to stretching/shrinking sheet are available in the literature [13][14][15][16].…”

Section: Introductionmentioning

confidence: 99%

MHD Stagnation-Point Flow of Casson Fluid and Heat Transfer over a Stretching Sheet with Thermal Radiation

Bhattacharyya

2013

Journal of Thermodynamics

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100

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The two-dimensional magnetohydrodynamic (MHD) stagnation-point flow of electrically conducting non-Newtonian Casson fluid and heat transfer towards a stretching sheet have been considered. The effect of thermal radiation is also investigated. Implementing similarity transformations, the governing momentum, and energy equations are transformed to self-similar nonlinear ODEs and numerical computations are performed to solve those. The investigation reveals many important aspects of flow and heat transfer. If velocity ratio parameter (B) and magnetic parameter (M) increase, then the velocity boundary layer thickness becomes thinner. On the other hand, for Casson fluid it is found that the velocity boundary layer thickness is larger compared to that of Newtonian fluid. The magnitude of wall skin-friction coefficient reduces with Casson parameter (β). The velocity ratio parameter, Casson parameter, and magnetic parameter also have major effects on temperature distribution. The heat transfer rate is enhanced with increasing values of velocity ratio parameter. The rate of heat transfer is enhanced with increasing magnetic parameterMforB> 1 and it decreases withMforB< 1. Moreover, the presence of thermal radiation reduces temperature and thermal boundary layer thickness.

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Section: Introductionmentioning

confidence: 99%

MHD Stagnation-Point Flow of Casson Fluid and Heat Transfer over a Stretching Sheet with Thermal Radiation

Bhattacharyya

2013

Journal of Thermodynamics

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100

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“…Several engineering processes take place at very high temperatures and knowledge of radiation heat transfer is essential in the design and development of the pertinent equipment. Owing to these applications, several researchers examined the effect of thermal radiation on heat transfer of both Newtonian and non-Newtonian fluid flows over stretching surfaces [26][27][28]. In all these studies Rosseland's approximation has been used which is valid when the temperature differences in the fluid region are small.…”

Section: Introductionmentioning

confidence: 99%

Numerical study of non-linear thermal radiative heat transfer in a non-Darcy chemically reactive Casson fluid flow

2019

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Study of thermal radiative heat transport is relevant in several industrial applications. Analysis of radiative heat transfer in Newtonian fluids under different conditions has been studied extensively. However, not much attention has been paid to analyze the non-linear thermal radiative heat transfer in non-Darcy Casson fluid flows over stretching surfaces. Hence, in this paper an attempt is made to study the combined effect of non-linear thermal radiation and Navier slip in a magnetohydrodynamically and chemically reactive Casson fluid flow on a stretching surface immersed in a non-Darcy porous medium in the presence of thermo-diffusion. The physics of the problem is delineated by a set of partial differential equations. To solve these equations numerically scaling analysis and Runge-Kutta-Fehlberg method are sequentially applied. Computational results of the investigation are analyzed through graphs and tables. It is noted that the non-Newtonian rheology parameter, inertial and Lorentz forces are seen to suppress the flow while thermal and solutal buoyancy forces have an opposite effect. Parameters of temperature ratio and thermal radiation enhanced the temperature.

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“…Moreover, the influences of source/sink have very useful applications in neurobiology for the investigation of brain function. Several authors such as Sharma and Singh, Bhattacharyya, Ibrahim and Shaker, Umavathi and Liu, Acharya et al have analysed the impact of the heat source and sink on hydromagnetic flow problems. Recently, Sharma et al have studied the effects of heat source/sink on hydromagnetic free and forced convective stagnation point flow on a vertical stretching sheet due to the applied magnetic field.…”

Section: Introductionmentioning

confidence: 99%

Influence of Hall current on hydromagnetic natural convective flow between two vertical concentric cylinders in presence of heat source/sink

Dwivedi

Singh

2020

Heat Trans

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The fully developed laminar magnetohydrodynamic free convection between two concentric vertical cylinders with Hall currents and heat source/sink, in the presence of the radial magnetic field, are studied. The governing thermal energy and momentum equations are changed into ordinary differential equations whose solutions are determined in closed-form expressions of the Bessel and modified Bessel functions of order zero. A parametric investigation illustrating the impacts of the Hall current, magnetic field, heat source, and radii ratio has been accomplished graphically to examine the changes in temperature as well as velocity while the Nusselt number, mass flux, and skin friction values have been presented in tabular forms. The results ensure that the Hall current has a strong and direct impact on the flow character, such that the influence of the Hall parameter enhances the velocity fields in the appearance of heat source and sink. The velocity remains almost constant as the Hall parameter value is greater than four.Moreover, the velocity and temperature fields have an increasing tendency due to the heat source and inversely for the heat sink. K E Y W O R D S Hall current, heat source/sink, magnetohydrodynamic, natural convection, Nusselt number, skin friction F I G U R E 1 Physical model of system

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Effects of radiation and heat source/sink on unsteady MHD boundary layer flow and heat transfer over a shrinking sheet with suction/injection

Cited by 94 publications

References 45 publications

MHD Stagnation-Point Flow of Casson Fluid and Heat Transfer over a Stretching Sheet with Thermal Radiation

MHD Stagnation-Point Flow of Casson Fluid and Heat Transfer over a Stretching Sheet with Thermal Radiation

Numerical study of non-linear thermal radiative heat transfer in a non-Darcy chemically reactive Casson fluid flow

Influence of Hall current on hydromagnetic natural convective flow between two vertical concentric cylinders in presence of heat source/sink

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