Non-Newtonian rivulet-flows on unsteady heated plane surface

IF 2.8 3区工程技术 Q2 MECHANICS International Journal of Non-Linear Mechanics Pub Date : 2024-12-06 DOI:10.1016/j.ijnonlinmec.2024.104984

S.V. Ershkov , E.S. Baranovskii , E.Yu. Prosviryakov , A.V. Yudin

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Abstract

In this illuminating study, a new distinct family of semi-analytical solutions for the nonlinear system describing the rivulet flow of viscoplastic fluid (with the non-zero critical maximal level of plasticity τ_s), is presented with updating to the case of rivulet flowing on inclined heated plane surface which can be considered as the stretching plane linearly dependent on time t due to thermal expansion. Therefore, purely non-Newtonian case of solution {

\vec{v} = (v_{x}, v_{y}), p

} of viscoplastic flow has been highlighted. It is worthnoting that the obtained unsteady solutions are fully decribed by Riccati-type ODE which means a possible jumping of rivulet flowing: sudden accelerating or decelerating of the flow at approriate moment of time. Approximate general mode for rivulet flow is obtained. Profile of pressure can be retrieved from two partial differential equations of the 1st order, depending of function τ_s of plasticity.

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来源期刊

International Journal of Non-Linear Mechanics 物理-力学

CiteScore

5.50

自引率

9.40%

发文量

192

审稿时长

67 days

期刊介绍： The International Journal of Non-Linear Mechanics provides a specific medium for dissemination of high-quality research results in the various areas of theoretical, applied, and experimental mechanics of solids, fluids, structures, and systems where the phenomena are inherently non-linear. The journal brings together original results in non-linear problems in elasticity, plasticity, dynamics, vibrations, wave-propagation, rheology, fluid-structure interaction systems, stability, biomechanics, micro- and nano-structures, materials, metamaterials, and in other diverse areas. Papers may be analytical, computational or experimental in nature. Treatments of non-linear differential equations wherein solutions and properties of solutions are emphasized but physical aspects are not adequately relevant, will not be considered for possible publication. Both deterministic and stochastic approaches are fostered. Contributions pertaining to both established and emerging fields are encouraged.