similarity solutions
Travelling-wave similarity solutions for a steadily translating slender dry patch in a thin fluid film
... travelling-wave similarity solutions describing a steadily trans- lating slender dry patch in an infinitely wide thin fluid film on an inclined planar substrate is obtained, the flow being driven by gravity ...
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Similarity solutions for slender dry patches with thermocapillarity
... Similarity solutions describing a thermocapillary-driven flow with a dry patch that is widening or narrowing due to either gravitational or surface-tension effects on a non-uniformly heated or cooled ...
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Similarity solutions to an averaged model for superconducting vortex motion
... such solutions are stable to small one-dimensional perturbations and this motivates the search for similarity solutions which describe the evolution from one steady state of the form ...
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A nonlinear second order field equation – similarity solutions and relation to a Bellmann-type equation - Applications to Maxwellian Molecules
... of solutions of a nonlinear partial differential equation (nPDE) of second order with quadratic ...models. Similarity solutions and transformations are given in a most general form derived to the ...
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Travelling-wave similarity solutions for an unsteady shear-stress-driven dry patch in a flowing film
... steady similarity solutions for a flow around a non-uniform slender dry patch in a thin film draining under gravity on an inclined plane, namely one for the case of weak surface tension and one for the case ...
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Motion by curvature of a three dimensional filament: similarity solutions
... In two dimensions the dynamics of a curve evolving under (2) has been fairly intensively investigated. Mullins [9] found travelling wave, rotating wave and a particular class of similarity solutions. A Lie ...
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Lie group analysis and similarity solutions for hydro-magnetic Maxwell fluid through a porous medium
... The similarity solutions are quite popular because they result in the reduction of the independent variables of the pro- ...any similarity solution will transform the system of (n + 1)-nonlinear PDEs ...
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The Time-Dependent Similarity Solutions of Boundary Layer Equations of Power-Law Fluids with Non-Isothermal Surface
... Similarity solutions of boundary layer equations for convection to non-Newtonian power-law fluid form horizontal plate whose temperature have a power-law variation with the distance and the time were ...
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Similarity Solutions of Unsteady Mixed Convective Boundary Layer Flow of Viscous Incompressible Fluid along Isothermal Horizontal Plate
... Unsteady mixed convective boundary layer flow of viscous incompressible fluid along isothermal horizontal plate is analyzed through Similarity Solutions. The go- verning partial differential equations are ...
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Similarity solutions for slender rivulets with thermocapillarity
... stress. Similarity solutions describing a thermocapillary- driven rivulet widening or narrowing due to either gravitational or surface-tension effects on a non-uniformly heated or cooled substrate are ...
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Some symmetries, similarity solutions and various conservation laws of a type of dispersive water waves
... An important application of the conservation laws of evolution equations is the study of nonvariant solutions of symmetry groups. In this section, we want to apply the conser- vation laws of system (2) to ...
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On a slender dry patch in a liquid film draining under gravity down an inclined plane
... whose solutions match with equation (A 3) as ˆ Y ↓ 0 and equation (A 6) as ˆ Y → ...rivulet similarity solutions of Smith [25] and Duffy & Moffatt [6] to accommodate a non-self-similar fixed- ...
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Similarity Solution For Mhd Flow Of Non-Newtonian Fluids
... the similarity solutions for MHD flow of a non-Newtonian fluid to study the flow of an electrically conducting Sisko ...The similarity analysis of governing equation is discussed using the deductive ...
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Vol 2, No 8 (2011)
... of solutions known as similarity solutions place an important ...exact solutions for the governing equations which are usually non-linear partial differential equations (PDEs) of the boundary ...
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Flow and Heat Transfer In a Power-law Fluid with Variable Conductivity over a Stretching Sheet
... the similarity solutions for the steady laminar incompressible MHD stagnation-point flows and heat transfer with variable conductivity of a Non–Newtonian Fluid subject to a transverse uniform magnetic field ...
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Symmetry Analysis for MHD Viscous Flow and Heat Transfer over a Stretching Sheet
... Fathizadeh et al. [14] employed the modification of the homotopy perturbation method to solve the MHD boundary-layer equations. In their work, the viscous fluid is electrically conducting in the presence of a uniform ...
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Point and Lie Bäcklund symmetries of certain partial differential equations : a thesis presented in partial fulfilment of the requirements for the degree of MA in Mathematics at Massey University
... 1 For Arbitrary values of m and n Similarity solutions for 2.49 are found by extending the closed ideal of differential forms 2.50 by contracting the isovector V with one of the differen[r] ...
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On the computation of steady hopper flows I: stress determination for Coulomb materials
... In this paper, we focus on the stress equations. The corresponding steady state equations representing balance of forces are found to form a hyperbolic system of conservation laws with several nonstandard features. For ...
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Symmetry properties and explicit solutions of the nonlinear time fractional KdV equation
... Lie point transformation groups have been extensively applied to the nonlinear partial dif- ferential equations arising in mathematics, physics and in many other scientific fields. Lie point transformation groups can deal ...
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