Abstract:
A class of exact solutions of hydrodynamic equations with additional Korteweg stresses is obtained which is characterized by a linear dependence of part of the velocity components on the space variable. In this class, exact solutions of two problems of binary fluid flow between moving flat solid boundaries was found. A family of particular exact solutions is obtained for the problem of viscous fluid flow between planes which approach or move away from each other according to a special law.
Citation:
D. V. Knyazev, “Two-dimensional flows of a viscous binary fluid between moving solid boundaries”, Prikl. Mekh. Tekh. Fiz., 52:2 (2011), 66–72; J. Appl. Mech. Tech. Phys., 52:2 (2011), 212–217
This publication is cited in the following 9 articles:
N. V. Burmasheva, E. Yu. Prosviryakov, “Exact Solution for Couette-Type Steady Convective Concentration Flows”, J Appl Mech Tech Phy, 62:7 (2021), 1199
N. V. Burmasheva, E. Yu. Prosviryakov, MECHANICS, RESOURCE AND DIAGNOSTICS OF MATERIALS AND STRUCTURES (MRDMS-2020): Proceeding of the 14th International Conference on Mechanics, Resource and Diagnostics of Materials and Structures, 2315, MECHANICS, RESOURCE AND DIAGNOSTICS OF MATERIALS AND STRUCTURES (MRDMS-2020): Proceeding of the 14th International Conference on Mechanics, Resource and Diagnostics of Materials and Structures, 2020, 020009
N.V. Burmasheva, E.Y. Prosviryakov, “Exact solution for stable convective concentration flows of a Couette type”, Comp. Contin. Mech., 13:3 (2020), 337
Natalya V. Burmasheva, Evgeniy Yu. Prosviryakov, “On Marangoni shear convective flows of inhomogeneous viscous incompressible fluids in view of the Soret effect”, Journal of King Saud University - Science, 32:8 (2020), 3364
N. V. Burmasheva, E. Yu. Prosviryakov, “Konvektivnye sloistye techeniya vertikalno zavikhrennoi vyazkoi neszhimaemoi zhidkosti. Issledovanie temperaturnogo polya”, Vestn. Sam. gos. tekhn. un-ta. Ser. Fiz.-mat. nauki, 224:3 (2020), 528–541
N. V. Burmasheva, E. Yu. Prosviryakov, “Thermocapillary Convection of a Vertical Swirling Liquid”, Theor Found Chem Eng, 54:1 (2020), 230
E. Yu. Prosviryakov, “New Class of Exact Solutions of Navier–Stokes Equations with Exponential Dependence of Velocity on Two Spatial Coordinates”, Theor Found Chem Eng, 53:1 (2019), 107
N. V. Burmasheva, E. Yu. Prosviryakov, “Konvektivnye sloistye techeniya vertikalno zavikhrennoi vyazkoi neszhimaemoi zhidkosti. Issledovanie polya skorostei”, Vestn. Sam. gos. tekhn. un-ta. Ser. Fiz.-mat. nauki, 223:2 (2019), 341–360
N. V. Burmasheva, E. Yu. Prosviryakov, “A large-scale layered stationary convection of a incompressible viscous fluid under the action of shear stresses at the upper boundary. Temperature and presure field investigation”, Vestn. Samar. Gos. Tekhn. Univ., Ser. Fiz.-Mat. Nauki [J. Samara State Tech. Univ., Ser. Phys. Math. Sci.], 221:4 (2017), 736–751
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