On an Important Remark Concerning Some MHD Motions of Second-Grade Fluids through Porous Media and Its Applications

Article Mathematics

Mathematical Analysis of Maxwell Fluid Flow through a Porous Plate Channel Induced by a Constantly Accelerating or Oscillating Wall

Constantin Fetecau et al.

Summary: The study establishes exact expressions for dimensionless velocity and shear stress fields corresponding to two unsteady motions of incompressible upper-convected Maxwell (UCM) fluids through a plate channel, considering porous effects. It is found that Maxwell fluids flow slower than Newtonian fluids, and the presence of porous medium delays the appearance of the steady-state.

MATHEMATICS (2021)

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Article Multidisciplinary Sciences

Symmetric and Non-Symmetric Flows of Burgers' Fluids through Porous Media between Parallel Plates

Constantin Fetecau et al.

Summary: This study analytically investigates the unsteady flow of incompressible Burgers' fluids between two infinite horizontal parallel plates considering magnetic and porous effects. General expressions for dimensionless velocity and shear stress fields, as well as Darcy's resistance, are established using the Laplace transform. The behavior of the fluid in symmetric and asymmetric motion is revealed through velocity profiles, and comparisons with incompressible Oldroyd-B fluids are made, showing similar behavior for large values of time t. The influence of the magnetic field on fluid motion is visually represented and discussed.

SYMMETRY-BASEL (2021)

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Article Multidisciplinary Sciences

Exact Solutions to the Navier-Stokes Equations with Couple Stresses

Evgenii S. Baranovskii et al.

Summary: This article discusses the possibility of using the Lin-Sidorov-Aristov class of exact solutions and modifications to describe fluid flows with microstructure involving couple stresses. Exact solutions for unidirectional, shear, and three-dimensional flows of a micropolar viscous incompressible fluid are presented, along with new statements of boundary value problems. Isobaric shear flows of a micropolar viscous incompressible fluid are studied, with conditions for solving an overdetermined system of nonlinear partial differential equations provided. A class of nontrivial solutions for describing isobaric fluid flows is constructed using polynomials with respect to coordinates.

SYMMETRY-BASEL (2021)

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Article Engineering, Mechanical