Heat and Mass Transfer in a Thin Liquid Film over an Unsteady Stretching Surface in the Presence of Thermosolutal Capillarity and Variable Magnetic Field

Zhang, Yan; Zhang, Min; Qi, Shujuan

doi:10.1155/2016/8521580

Cited by 5 publications

(3 citation statements)

References 37 publications

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“…The flow of heat and mass in a thin liquid film has been studied [37] on an unsteady stretching surface with thermosolutal capillarity and variable magnetic field. Here, we are considering the flow model without the magnetic field and thermosolutal capillarity.…”

Section: Flow Equationsmentioning

confidence: 99%

Lie symmetry and exact homotopic solutions of a non-linear double-diffusion problem

Khan

Taj²,

Ahmed³

et al. 2023

Front. Phys.

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The Lie symmetry method is applied, and exact homotopic solutions of a non-linear double-diffusion problem are obtained. Additionally, we derived Lie point symmetries and corresponding transformations for equations representing heat and mass transfer in a thin liquid film over an unsteady stretching surface, using MAPLE. We used these symmetries to construct new (Lie) similarity transformations that are different from those that are commonly used for flow and mass transfer problems. These new (Lie) similarity transformations map the partial differential equations of a mathematical model under consideration to ordinary differential equations along with boundary conditions. Lie similarity transformations are shown to lead to new solutions for the considered flow problem. These solutions are obtained using the homotopy analysis method to analytically solve the ordinary differential equations that resulted from the reduction of considered flow equations through Lie similarity transformations. With the aid of these solutions, effects of various parameters on the flow and heat transfer are discussed and presented graphically in this study.

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Section: Flow Equationsmentioning

confidence: 99%

Lie symmetry and exact homotopic solutions of a non-linear double-diffusion problem

Khan

Taj²,

Ahmed³

et al. 2023

Front. Phys.

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“…Sufian et al [7] study the impact of heat source and fluid flow over a stretch cylinder as a function of time. Zhang et al [8] demonstrated mass diffusion and solutal Marangoni impact on heat transmission and fluid flow in a film toward a stretched sheet. Kalyani et al [9] investigated the effects of Lorentz force, heat generation, and mass transfer of a Casson incompressible fluid flowing on a surface.…”

Section: Introductionmentioning

confidence: 99%

Magnetohydrodynamic Thin Film Flow through a Porous Stretching Sheet with the Impact of Thermal Radiation and Viscous Dissipation

Khan

Jawad

Bonyah³

et al. 2022

Mathematical Problems in Engineering

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In this paper, the Darcy–Forchheimer laminar thin film flow with MHD and heat transfer on an unsteady horizontal stretched surface is investigated. The impact of thermal radiation and viscous dissipation is also considered for thin film flow. The analysis of heat source with thermal radiation in a boundary layer flow can play a great role in manufacturing engineering procedures such as the production of electric power, solar energy modernization, and astrophysical flow. By using similarity transformation, the system of PDEs is converted to ODEs. Then HAM is applied for the solution of the problem. Moreover, the velocity and temperature profile for various embedded variables are discussed through graphs while the numerical solution of concerned physical quantities such as skin friction and Nusselt number are discussed through tables. The analysis shows that velocity profile is reducing function of M , K 1 , S , and F 1 . The temperature profile is an increasing function S and E c while a reducing function of Pr and R . The overall behavior of the proposed system is highlighted analytically.

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“…The researchers reported results for local heat transfer and discussed this comprehensively. A heat and mass transport analysis under the impact of variable Lorentz forces over a thin film was presented in [4]. They highlighted the behavior of mass and temperature for multiple values of these parameters.…”

Section: Introductionmentioning

confidence: 99%

Investigation of Thermal Transport in Multi-Shaped Cu Nanomaterial-Based Nanofluids

et al. 2020

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The unsteady flow of H2O saturated by tiny nanosized particles with various shapes (platelets, blades, cylinders, and bricks) over a thin slit is reported. For this novel analysis, the influences of the magnetic field and heat generation/absorption are incorporated into the governing model. The dimensionless nanofluid model is attained after the successful implementation of similarity transformations. Then, Runge-Kutta and homotopy analysis algorithms are implemented for mathematical analysis, and the results are obtained by varying the main flow parameters. A decrease in nanofluid motion is observed for a stronger magnetic field (M). Additionally, nanofluid temperature β(η) increases for higher values of M. Decreasing trends in the shear stresses Rex0.5CFx are observed for the unsteadiness parameter S, and this declines with stronger M. Similarly, the local heat transfer rate Rex−0.5Nux rises with the unsteady behavior of the fluid. It is observed that the nanofluid motion drops for variable thickness ( λ ) of the slit, whereas the motion becomes slower with stronger magnetic field effects (M).

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Heat and Mass Transfer in a Thin Liquid Film over an Unsteady Stretching Surface in the Presence of Thermosolutal Capillarity and Variable Magnetic Field

Cited by 5 publications

References 37 publications

Lie symmetry and exact homotopic solutions of a non-linear double-diffusion problem

Lie symmetry and exact homotopic solutions of a non-linear double-diffusion problem

Magnetohydrodynamic Thin Film Flow through a Porous Stretching Sheet with the Impact of Thermal Radiation and Viscous Dissipation

Investigation of Thermal Transport in Multi-Shaped Cu Nanomaterial-Based Nanofluids

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