Analytic approximate solutions for unsteady two-dimensional and axisymmetric squeezing flows between parallel plates.

By Mohammad Mehdi Rashidi, H. Shahmohamadi, Saeed Dinarvand. 2008

171 citations recorded by the source corpus.

The flow of a viscous incompressible fluid between two parallel plates due to the normal motion of the plates is investigated. The unsteady Navier-Stokes equations are reduced to a nonlinear fourth-order differential equation by using similarity solutions. Homotopy analysis method (HAM) is used to solve this nonlinear equation analytically. The convergence of the obtained series solution is carefully analyzed. The validity of our solutions is verified by the numerical results obtained by fourth-order Runge-Kutta.

Subfields: Biomedical Engineering, Computational Mechanics, Fluid Flow and Transfer Processes

View Paper: https://www.semanticscholar.org/paper/35e1c427828c7e9986ac1e78237478bb7571eec5

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In Biomedical Engineering

In Computational Mechanics

In Fluid Flow and Transfer Processes

Citations in the corpus

On heat and mass transfer in the unsteady squeezing flow between parallel plates (2012, methodology): “[4] analyzed the hydrodynamic squeezing flow of a viscous fluid by homotopy analysis method (HAM).”
Mixed Convective Heat Transfer for MHD Viscoelastic Fluid Flow over a Porous Wedge with Thermal Radiation (2014, methodology): “[29] investigated the flow of a viscous incompressible fluid between two parallel plates due to the normal motion of the plates using HAM.”
Unsteady heat and mass transfer mechanisms in MHD Carreau nanofluid flow (2017, methodology): “The numerical study of axisymmetric ow of Carreau liquid by way of Galerkin Least Square technique was conducted by Martins et al: [49]: The analytic and numerical solutions were presented by Rashidi et al: [50]: They presented the analytical solutions via HAM and numerical solutions by way of shoot”
Free convective heat and mass transfer for MHD fluid flow over a permeable vertical stretching sheet in the presence of the radiation and buoyancy effects (2014, methodology): “HAM has been successfully applied to solve many types of nonlinear fluid mechanics problems including MHD flow over a porous rotating sphere [27], unsteady two-dimensional and axisymmetric squeezing flows between parallel plates [28], mixed convection boundary-layer flow of a micropolar fluid toward”