Heat Transfer in a Liquid Film Due to an Unsteady Stretching Surface With Variable Heat Flux

Liu, I.-Chung; Megahed, Ahmed M.; Wang, Hung-Hsun

doi:10.1115/1.4007966

Cited by 24 publications

(16 citation statements)

References 35 publications

Supporting

Mentioning

Contrasting

Order By: Relevance

“…is a constant; therefore, an additional first-order ordinary differential equation can be induced. For interested readers, please refer to Liu et al [34] for detail.…”

Section: Numerical Proceduresmentioning

confidence: 99%

See 1 more Smart Citation

Effect of Viscous Dissipation, Internal Heat Source/Sink, and Thermal Radiation on a Hydromagnetic Liquid Film Over an Unsteady Stretching Sheet

Liu¹,

Wang

Umavathi

2013

Journal of Heat Transfer

Self Cite

View full text Add to dashboard Cite

In this study, the effect of magnetic field, viscous dissipation, nonuniform heat source, and/ or sink and thermal radiation onflow and heat transfer in a hydromagnetic liquid film over an unsteady stretching sheet with prescribed heat flux condition is investigated. The governing equations are transformed into a set of ordinary differential equations with six free parameters by using a similarity transformation before being solved numerically. The temperature profiles depending on the governing parameters are displayed in graphical form and the relevant thermal characteristics are depicted in tabular representation. It is found that the dimensionless temperature profile, sheet temperature, and free surface temperature, with a specific unsteadiness parameter, are enhanced as the increase in magnetic parameter, Eckert number, space-and temperature-dependent parameters, and they are reduced for increasing effective Prandtl number.

show abstract

“…is a constant; therefore, an additional first-order ordinary differential equation can be induced. For interested readers, please refer to Liu et al [34] for detail.…”

Section: Numerical Proceduresmentioning

confidence: 99%

“…However, not all thermal conditions are of PST type, prescribed surface heat flux (PHF) thermal conditions are also possible if the stretching wall is heated by an electrical heater [34]. Under this circumstance, the heat flux specified at the stretching sheet may be a ftmction of position and time.…”

Section: Introductionmentioning

confidence: 99%

Effect of Viscous Dissipation, Internal Heat Source/Sink, and Thermal Radiation on a Hydromagnetic Liquid Film Over an Unsteady Stretching Sheet

Liu¹,

Wang

Umavathi

2013

Journal of Heat Transfer

Self Cite

View full text Add to dashboard Cite

show abstract

“…The researchers [Abel (2011), Khan et al (2011), Liu and Megahad (2012), Liu et al (2013), Vajaravelu et al (2012)] analyzed the heat transfer characteristics of thin film flows by considering the different * Corresponding Author. Email: dr.nsrh@gmail.com channels.…”

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

View full text Add to dashboard Cite

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.

show abstract

“…Mahmoud and Megahed [9] investigated the effects of variable viscosity and thermal conductivity on the flow and heat transfer of an electrically conducting power-law fluid within a thin liquid film over an unsteady stretching sheet in the presence of a transverse magnetic field. Recently, the heat transfer characteristics of a viscous liquid film flow over an unsteady stretching sheet subject to variable heat flux were investigated numerically by Liu et al [10] .…”

Section: Introductionmentioning

confidence: 99%

Effect of slip velocity on Casson thin film flow and heat transfer due to unsteady stretching sheet in presence of variable heat flux and viscous dissipation

Megahed

2015

Appl. Math. Mech.-Engl. Ed.

View full text Add to dashboard Cite

The aim of the present paper is to study flow and heat transfer characteristics of a viscous Casson thin film flow over an unsteady stretching sheet subject to variable heat flux in the presence of slip velocity condition and viscous dissipation. The governing equations are partial differential equations. They are reduced to a set of highly nonlinear ordinary differential equations by suitable similarity transformations. The resulting similarity equations are solved numerically with a shooting method. Comparisons with previously works are made, and the results are found to be in excellent agreement. In the present work, the effects of the unsteadiness parameter, the Casson parameter, the Eckert number, the slip velocity parameter, and the Prandtl number on flow and heat transfer characteristics are discussed. Also, the local skin-friction coefficient and the local Nusselt number at the stretching sheet are computed and discussed.

show abstract

Heat Transfer in a Liquid Film Due to an Unsteady Stretching Surface With Variable Heat Flux

Cited by 24 publications

References 35 publications

Effect of Viscous Dissipation, Internal Heat Source/Sink, and Thermal Radiation on a Hydromagnetic Liquid Film Over an Unsteady Stretching Sheet

Effect of Viscous Dissipation, Internal Heat Source/Sink, and Thermal Radiation on a Hydromagnetic Liquid Film Over an Unsteady Stretching Sheet

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

Effect of slip velocity on Casson thin film flow and heat transfer due to unsteady stretching sheet in presence of variable heat flux and viscous dissipation

Contact Info

Product

Resources

About