A nonlinear model of the non-isothermal slip flow between two parallel plates

Domnich, A. A.; Baranovskii, Evgenii S.; Артемов, М. А.

doi:10.1088/1742-6596/1479/1/012005

Cited by 8 publications

(3 citation statements)

References 17 publications

Supporting

Mentioning

Contrasting

Order By: Relevance

“…Using Proposition 2 and the convergence results ( 27)-( 32), we pass to the limit m → ∞ in equalities (25) and (26); this gives:…”

Section: Propositionmentioning

confidence: 99%

“…Baranovskii [24] proposed a network model that describes the isothermal steady-state 3D flow of an incompressible non-Newtonian fluid with shear-dependent viscosity and proved an existence theorem in the class of weak solutions to the corresponding boundary value problem. The recent papers [25][26][27][28] are devoted to the analysis of viscous flows and heat transfer in channels and tubes.…”

Section: Introduction and Problem Formulationmentioning

confidence: 99%

See 1 more Smart Citation

Non-Isothermal Creeping Flows in a Pipeline Network: Existence Results

et al. 2021

View full text Add to dashboard Cite

This paper deals with a 3D mathematical model for the non-isothermal steady-state flow of an incompressible fluid with temperature-dependent viscosity in a pipeline network. Using the pressure and heat flux boundary conditions, as well as the conjugation conditions to satisfy the mass balance in interior junctions of the network, we propose the weak formulation of the nonlinear boundary value problem that arises in the framework of this model. The main result of our work is an existence theorem (in the class of weak solutions) for large data. The proof of this theorem is based on a combination of the Galerkin approximation scheme with one result from the field of topological degrees for odd mappings defined on symmetric domains.

show abstract

“…Using Proposition 2 and the convergence results ( 27)-( 32), we pass to the limit m → ∞ in equalities (25) and (26); this gives:…”

Section: Propositionmentioning

confidence: 99%

Section: Introduction and Problem Formulationmentioning

confidence: 99%

Non-Isothermal Creeping Flows in a Pipeline Network: Existence Results

et al. 2021

View full text Add to dashboard Cite

show abstract

“…The thin layer of the fluid flowing streamwise due to a rough sheet just inside the boundary layer is essentially, which causes the slip velocity phenomenon. Additionally, taking into account the slip phenomenon helps to describe a few problems in a variety of additional applications [10].…”

Section: Introductionmentioning

confidence: 99%

Variable Fluid Characteristics’ Impacts on the Dissipative and Chemically Reactive Fluid Flow across a Stretched Surface

Alrehili

Alrihieli

2023

Processes

View full text Add to dashboard Cite

This article’s goal was to explain how chemical reaction and viscous dissipation affect a non-Newtonian Cross-fluid in a boundary layer flow due to a stretching sheet with variable fluid properties. The results were obtained after assuming laminar, steady, and viscous flow characteristics. In this study, the analysis took into account the characteristics of the fluid variable diffusivity and slip velocity. It was considered that fluid viscosity and thermal conductivity are temperaturedependent variables. Because of their mobility, non-Newtonian fluid particles are thought to interact chemically. The physical problem is governed by a set of partial differential equations that are not linear. Anumerical solution was reached usingNewton’s shooting methodology and the Runge–Kutta integration technique. A set of figures displays the distributions of the temperature, concentration, and velocity at various physical parameter values. The influence of all physical parameters is shown in tabular form together with the local Sherwood number, drag force, and local Nusselt number. A key conclusion was that the temperature profile of the nanofluid increases as the mixed convection parameter and Eckert number rise. Furthermore, both the Sherwood number and the Nusselt number decreased as the slip velocity parameter increased. Last but not least, the results proved that the suggested numerical approach, which offers a reliable description of the flow and heat mass transfer mechanism, is effective.

show abstract

Mixed initial-boundary value problems describing motions of Maxwell fluids with linear dependence of viscosity on the pressure

Fetecău

Vieru

Rauf

et al. 2021

Zeitschrift Für Naturforschung A

View full text Add to dashboard Cite

Some mixed initial-boundary value problems are analytically studied. They correspond to unsteady motions of the incompressible upper-convected Maxwell (IUCM) fluids with linear dependence of viscosity on the pressure between infinite horizontal parallel plates. The fluid motion is generated by the upper plate that applies time-dependent shear stresses to the fluid. Exact solutions are established for the dimensionless velocity and nontrivial shear stress fields using a suitable change of the spatial variable and the Laplace transform technique. They are presented as sum of the steady-state and transient components and are used to determine the required time to reach the permanent state. Comparisons between exact and numerical solutions indicate an excellent agreement. Analytical solutions for the unsteady motion of the same fluids induced by an exponential shear stress on the boundary are obtained as limiting cases of the general solutions. Moreover, the steady-state solutions corresponding to the ordinary IUCM fluids performing the initial motions are provided by means of asymptotic approximations of standard Bessel functions. Finally, spatial variation of starting solutions and the influence of physical parameters on the fluid motion are graphically underlined and discussed.

show abstract

A nonlinear model of the non-isothermal slip flow between two parallel plates

Cited by 8 publications

References 17 publications

Non-Isothermal Creeping Flows in a Pipeline Network: Existence Results

Non-Isothermal Creeping Flows in a Pipeline Network: Existence Results

Variable Fluid Characteristics’ Impacts on the Dissipative and Chemically Reactive Fluid Flow across a Stretched Surface

Mixed initial-boundary value problems describing motions of Maxwell fluids with linear dependence of viscosity on the pressure

Contact Info

Product

Resources

About