Thin-film flow of a power-law liquid falling down an inclined plate

Miladinova, S.; Lebon, Georgy; Toshev, Evtim

doi:10.1016/j.jnnfm.2004.01.021

Cited by 79 publications

(47 citation statements)

References 23 publications

Supporting

Mentioning

Contrasting

Order By: Relevance

“…Using the above dimensionless parameters from Equation (13) in the governing partial differential Equations (11) and (12) and in the boundary conditions (1,2), we get:…”

Section: Methodsmentioning

confidence: 99%

Heat Transfer Investigation of the Unsteady Thin Film Flow of Williamson Fluid Past an Inclined and Oscillating Moving Plate

et al. 2017

View full text Add to dashboard Cite

Abstract:This investigation aims at analyzing the thin film flow passed over an inclined moving plate. The differential type non-Newtonian fluid of Williamson has been used as a base fluid in its unsteady state. The physical configuration of the oscillatory flow pattern has been demonstrated and especial attention has been paid to the oscillatory phenomena. The shear stresses have been combined with the energy equation. The uniform magnetic field has been applied perpendicularly to the flow field. The principal equations for fluid motion and temperature profiles have been modeled and simplified in the form of non-linear partial differential equations. The non-linear differential equations have been solved with the help of a powerful analytical technique known as Optimal Homotopy Asymptotic Method (OHAM). This method contains unknown convergence controlling parameters C 1 , C 2 , C 3 , ... which results in more efficient and fast convergence as compared to other analytical techniques. The OHAM results have been verified by using a second method known as Adomian Decomposition Method (ADM). The closed agreement of these two methods and the fast convergence of OHAM has been shown graphically and numerically. The comparison of the present work and published work has also been equated graphically and tabulated with absolute error. Moreover, the effect of important physical parameters like magnetic parameter M, gravitational parameter m, Oscillating parameter ω, Eckert number Ec and Williamson number We have also been derived and discussed in this article.

show abstract

“…Using the above dimensionless parameters from Equation (13) in the governing partial differential Equations (11) and (12) and in the boundary conditions (1,2), we get:…”

Section: Methodsmentioning

confidence: 99%

Heat Transfer Investigation of the Unsteady Thin Film Flow of Williamson Fluid Past an Inclined and Oscillating Moving Plate

et al. 2017

View full text Add to dashboard Cite

show abstract

“…The zero order problems given in equation (19) and the first order and second order given in equations. 0 , ,…”

Section: R Xmentioning

confidence: 99%

“…In this section we apply OHAM method on equation (17,18) with boundary condition in equation (19,20) and study zero.…”

Section: The Oham Solutionmentioning

confidence: 99%

See 1 more Smart Citation

Time dependent second grade fluid between two vertical oscillating plates with heat transfer effect

Mohmand¹,

Mamat²,

Shah³

2017

AIP Conference Proceedings

View full text Add to dashboard Cite

ARTICLES YOU MAY BE INTERESTED INABSTRACT. In this paper, the flow of unsteady second grade fluid problem is examined between two vertical and oscillating plates. The parallel plates are oscillating. The heat transfer effect is taken on the plates. Optimal Homotopy Asymptotic Method (OHAM) is used for solution. Analytical solution is obtained. Effect of several physical parameters are studied as well as discussed in details.

show abstract

“…They demonstrated qualitative agreement between their numerical results and experiment. Miladinova et al [13] studied slow ow of power-law non-Newtonian uid on an inclined plate in a periodic domain. They illustrated that the free surface evolution of non-Newtonian uids was similar to that of Newtonian uids while the shape and amplitude of the permanent wave were in uenced by non-Newtonian behavior.…”

Section: Introductionmentioning

confidence: 99%

Evolution of Thin Liquid Film for Newtonian and Power-Law Non-Newtonian Fluids

Nasehi

Shirani²

2017

Scientia Iranica

View full text Add to dashboard Cite

Abstract. Analytical relations for slow-motion thin liquid lms bounded by a xed wall and free surface for Newtonian and non-Newtonian uids are obtained in this work. Assuming long-wave approximation, the momentum and continuity equations for thin liquid lms of power-law uids are simpli ed and solved analytically to derive the evolution equation of thin liquid lms. The evolution equation is derived for two-and threedimensional cases. A relation for evolution of thin lms is obtained for a simple case in which the liquid lm is supported from below by a solid surface and subjected to gravity and constant surface tension forces. This evolution equation of thin lm has been solved numerically in order to compare the behavior of Newtonian and non-Newtonian liquids for di erent Bond numbers. It is shown that the power-law model at low and high strain rates is invalid and it a ects the results. The Rayleigh-Taylor instability is another subject that is studied in this work. This interesting phenomenon is investigated by numerically solving the evolution equation for di erent Bond numbers. The results show that the evolution of the free surface thin lm for pseudo plastic uids is di erent from that for Newtonian and dilatant uids.

show abstract

Thin-film flow of a power-law liquid falling down an inclined plate

Cited by 79 publications

References 23 publications

Heat Transfer Investigation of the Unsteady Thin Film Flow of Williamson Fluid Past an Inclined and Oscillating Moving Plate

Heat Transfer Investigation of the Unsteady Thin Film Flow of Williamson Fluid Past an Inclined and Oscillating Moving Plate

Time dependent second grade fluid between two vertical oscillating plates with heat transfer effect

Evolution of Thin Liquid Film for Newtonian and Power-Law Non-Newtonian Fluids

Contact Info

Product

Resources

About