Thermocapillarity and magnetic field effects in a thin liquid film on an unsteady stretching surface

Noor, N. F. M.; Hashim, Ishak

doi:10.1016/j.ijheatmasstransfer.2009.12.052

Cited by 100 publications

(53 citation statements)

References 21 publications

(51 reference statements)

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“…Dandapat et al [8] extended this study to examine the effect of Lorentz force. Noor and Hashim [9] examined the flow and heat transfer in a liquid film over an unsteady elastic stretched surface taking the magnetic and thermocapillarity forces into consideration. Aziz et al [10] obtained HAM solutions to examine the velocity and temperature of the flow in a thin liquid film on an unsteady stretching sheet to assess the influence of internal heating by prescribing a general temperature on the surface.…”

Section: Introductionmentioning

confidence: 99%

A study on entropy generation on thin film flow over an unsteady stretching sheet under the influence of magnetic field, thermocapillarity, thermal radiation and internal heat generation/absorption

Sarojamma¹,

Vajravelu²,

Sreelakshmi³

2017

Communications in Numerical Analysis

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Entropy generation is inherently affiliated with transport of thermal energy. However, not much attention has been paid to the study of entropy generation in liquid thin film flows. Hence, in this paper an analysis is carried out to study the entropy generation in a thin viscous fluid film on a stretching sheet embedded in a porous medium subject to a magnetic field and thermocapillarity force taking thermal radiation and internal heating/absorption into account. The numerical solution of the equations of momentum and energy governing the flow is obtained. Influence of various parameters emerged in the analysis on the velocity, temperature, surface drag, Nusselt number, entropy generation number and the Bejan number are graphically illustrated and discussed. Thermocapillarity number shows an enhancement of velocity at the free surface. Film thickness is found to increase with increasing thermocapillary force. Thinner films are noticed for stronger magnetic field strengths. It is found that in the absence of thermocapillary force, the effect of magnetic field on entropy generation number near the stretching surface is prominent. Thermocapillarity is seen to have a stronger effect on the entropy generation number near the stretching surface as well as at the free surface.

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Section: Introductionmentioning

confidence: 99%

A study on entropy generation on thin film flow over an unsteady stretching sheet under the influence of magnetic field, thermocapillarity, thermal radiation and internal heat generation/absorption

Sarojamma¹,

Vajravelu²,

Sreelakshmi³

2017

Communications in Numerical Analysis

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“…The liquid film flow over an unsteady horizontal stretching sheet was numerically discussed by Santra and Dandapat (2008). Noor and Hashim (2010) investigated the effect of magnetic field and thermocapillarity on an unsteady flow of a liquid film over a stretching sheet. Lin et al (2015) explained the effect of MHD pseudo-plastic nanofluid flow and heat transfer film flow over a stretching sheet and concluded that raising the value of Hartmann number reduced the velocity profiles.…”

Section: Introductionmentioning

confidence: 99%

Free Convective Heat Transfer of MHD Dissipative Carreau Nanofluid Flow Over a Stretching Sheet

Sandeep¹,

Kumar²,

Kumar³

2017

Frontiers in Heat and Mass Transfer

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Nowadays external magnetic fields are capable of setting the thermal and physical properties of magnetic-nanofluids and regulate the flow and heat transfer characteristics. The strength of the applied magnetic field affects the thermal conductivity of magnetic nanofluids and makes it aeolotropic. With this incentive, we investigate the flow and heat transfer of electrically conducting liquid film flow of Carreau nanofluid over a stretching sheet by considering the aligned magnetic field in the presence of space and temperature dependent heat source/sink and viscous dissipation. For this study, we considered kerosene as the base fluid embedded with the silver (Ag) and copper (Cu) nanoparticles. Numerical results are determined by employing Runge-Kutta and Newton's methods. Graphs are exhibited and explained for various parameters of interest. The influence of pertinent parameters on reduced Nusselt number, flow and heat transfer is discussed with the assistance of graphs and tables. It is found that thermal boundary layer of Ag-kerosene nanofluid is highly effective when compared with the Cu-kerosene nanofluid. It is also found that the thermal and momentum boundary layers of Cu-kerosene and Ag-kerosene nanofluids are not uniform.

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“…Firstly, to verify the accuracy of our numerical scheme, a comparison of the computed values of -f (0) is made by Noor and Hashim [25]. This comparison is illustrated in Table 1.…”

Section: Resultsmentioning

confidence: 99%

Numerical study for the BVP of the liquid film flow over an unsteady stretching sheet with thermal radiation and magnetic field

Khader

2018

Bound Value Probl

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In this paper, we introduce a method based on replacement of the unknown function by truncated series of the well-known shifted Chebyshev (of third-kind) expansion of functions. We give an approximate formula for the integer derivative of this expansion. We state and prove some theorems on the convergence analysis. By means of collocation points the introduced method converts the proposed problem to solving a system of algebraic equations with shifted Chebyshev coefficients. As an application for this efficient numerical method, we employ it in solving the system of ordinary differential equation that describes the thin film flow and heat transfer with the effect of thermal radiation, magnetic field, and slip velocity. MSC: 41A04; 65N12; 76S02

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Thermocapillarity and magnetic field effects in a thin liquid film on an unsteady stretching surface

Cited by 100 publications

References 21 publications

A study on entropy generation on thin film flow over an unsteady stretching sheet under the influence of magnetic field, thermocapillarity, thermal radiation and internal heat generation/absorption

A study on entropy generation on thin film flow over an unsteady stretching sheet under the influence of magnetic field, thermocapillarity, thermal radiation and internal heat generation/absorption

Free Convective Heat Transfer of MHD Dissipative Carreau Nanofluid Flow Over a Stretching Sheet

Numerical study for the BVP of the liquid film flow over an unsteady stretching sheet with thermal radiation and magnetic field

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