MHD flow over exponential radiating stretching sheet using homotopy analysis method

Mabood, Fazle; Khan, Waqar A.; Ismail, Ahmad Izani Md.

doi:10.1016/j.jksues.2014.06.001

Cited by 77 publications

(65 citation statements)

References 21 publications

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“…Pavithra et al [37] took this task to include viscous dissipation in dusty fluid over an exponentially stretching sheet and also discussed two cases for heat transfer analysis: Prescribed exponential order surface temperature (PEST) and prescribed exponential order heat flux (PEHF). Mabood et al [38] did analysis on viscous incompressible flow along with radiation effect while taking exponentially stretching sheet. They obtained the solution by using homotopy analysis method (HAM).…”

Section: Introductionmentioning

confidence: 99%

The impact of variable fluid properties on hydromagnetic boundary layer and heat transfer flows over an exponentially stretching sheet

et al. 2019

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This paper put forward an analysis of variable fluid properties and their impact on hydromagnetic boundary and thermal layers in a quiescent fluid which is developed due to the exponentially stretching sheet. The viscous incompressible fluid has been set into motion due to aforementioned sheet. We assume that the viscosity and the thermal conductivity of the Newtonian fluid are temperature dependent. The governing boundary layer equations containing continuity, momentum and energy equations are coupled and nonlinear in nature, thereby, cannot be solvable easily by using analytical methods. Since the general boundary layer equations admits a similarity solutions, thus a generalized Howarth-Dorodnitsyn transformations have been exploited for the set-up of a coupled nonlinear ODEs. These transformed ODEs are solved numerically by a shooting method and is verified from MATLAB built-in collocation solver bvp4c for different parameters appearing in the work. We show results graphically and in a tabulated form for a constant and a variable fluid properties. We find that the temperature dependent variable viscosity and a thermal conductivity influence a velocity and a temperature profiles. We show that the thermal boundary layer decreases for constant variable fluid properties and increases for variable fluid properties Nomenclature

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Section: Introductionmentioning

confidence: 99%

The impact of variable fluid properties on hydromagnetic boundary layer and heat transfer flows over an exponentially stretching sheet

et al. 2019

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“…Its applications can be seen in astrophysics, geophysics [24][25][26][27][28][29][30][31] and many other industrial processes such as magnetohydrodynamic generators, pumps, bearings etc. Mabood et al 32 investigated the boundary layer flow with MHD and thermal radiation over an exponentially stretching surface. In this study, they observed the effects of magnetic and radiation parameters on the flow field.…”

Section: Introductionmentioning

confidence: 99%

Numerical study focusing on the entropy analysis of MHD squeezing flow of a nanofluid model using Cattaneo–Christov theory

2018

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The present study gives an account of the heat transfer characteristics of the squeezing flow of a nanofluid between two flat plates with upper plate moving vertically and the lower in the horizontal direction. Tiwari and Das nanofluid model has been utilized to give a comparative analysis of the heat transfer in the Cu-water and Al 2 O 3 -water nanofluids with entropy generation. The modeling is carried out with the consideration of Lorentz forces to observe the effect of magnetic field on the flow. The Joule heating effect is included to discuss the heat dissipation in the fluid and its effect on the entropy of the system. The nondimensional ordinary differential equations are solved using the Keller box method to assess the numerical results which are presented by the graphs and tables. An interesting observation is that the entropy is generated more near the lower plate as compared with that at the upper plate. Also, the heat transfer rate is found to be higher for the

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“…Recently, Hafidzuddin et al [10] obtained the numerical solution for flow past an exponentially stretching/shrinking sheet. Mabood et al [11] reported the effects of radiation on heat transfer over an exponentially stretching sheet. Nowadays, the enhancement of thermal conductivity is an extremely important topic among researchers.…”

Section: Introductionmentioning

confidence: 99%

MHD slip flow and heat transfer of Casson nanofluid over an exponentially stretching permeable sheet

Ghosh¹,

Mukhopadhyay²

2017

Int. J. Automot. Mech. Eng.

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The aim of the present paper is to discuss the boundary layer flow induced in a nanofluid due to a stretching permeable sheet in the presence of a magnetic field. Instead of no-slip boundary conditions, slips at the boundary have been considered. Casson fluid model was used to characterise the non-Newtonian fluid behaviour. The effects of Brownian motion and thermophoresis on heat and mass transfer were considered. Using similarity transformations, the governing partial differential equations were transformed into ordinary ones. The self-similar equations were then solved numerically using shooting technique with fourth order Runge-Kutta method. The solutions for velocity, temperature and concentration fields depended on the pertinent parameters. It was observed that the velocity decreased but the temperature and nanoparticle volume fraction increased with the increase of Casson fluid parameter. With the increase in velocity slip parameter as well as magnetic parameter, fluid velocity decreased. Due to increase in thermal slip, temperature decreased and with the increase in mass slip parameter, concentration also decreased. Temperature was found to increase but the nanoparticle volume fraction decreased due to the Brownian motion. On the other hand, temperature and nanoparticle volume fraction were both found to increase with the increase of thermophorosis parameter as well as with the increasing strength of magnetic parameter. Thus, velocity slip at the boundary and magnetic parameter acted as flow controlling parameters. It is believed that this type of investigation is very much helpful for the manufacturing of complex fluids and also for cleaning oil from surfaces.

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MHD flow over exponential radiating stretching sheet using homotopy analysis method

Cited by 77 publications

References 21 publications

The impact of variable fluid properties on hydromagnetic boundary layer and heat transfer flows over an exponentially stretching sheet

The impact of variable fluid properties on hydromagnetic boundary layer and heat transfer flows over an exponentially stretching sheet

Numerical study focusing on the entropy analysis of MHD squeezing flow of a nanofluid model using Cattaneo–Christov theory

MHD slip flow and heat transfer of Casson nanofluid over an exponentially stretching permeable sheet

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