[BOOK][B] Handbook of nonlinear partial differential equations: exact solutions, methods, and problems

AD Polyanin, VF Zaitsev - 2003 - taylorfrancis.com
The Handbook of Nonlinear Partial Differential Equations is the latest in a series of
acclaimed handbooks by these authors and presents exact solutions of more than 1600 …

[BOOK][B] The Navier-Stokes equations: a classification of flows and exact solutions

PG Drazin, N Riley - 2006 - books.google.com
The Navier-Stokes equations were firmly established in the 19th Century as the system of
nonlinear partial differential equations which describe the motion of most commonly …

Non-axisymmetric Homann stagnation-point flows

PD Weidman - Journal of Fluid Mechanics, 2012 - cambridge.org
A modification of Homann's axisymmetric outer potential stagnation-point flow of strain rate
is obtained by adding periodic radial and azimuthal velocities of the form and, respectively …

Asymptotic matching constraints for a boundary-layer flow of a power-law fluid

JP Denier, RE Hewitt - Journal of Fluid Mechanics, 2004 - cambridge.org
We reconsider the three-dimensional boundary-layer flow of a power-law (Ostwald–de
Waele) rheology fluid, driven by the rotation of an infinite rotating plane in an otherwise …

Stagnation-point flow against a liquid film on a plane wall

MG Blyth, C Pozrikidis - Acta mechanica, 2005 - Springer
Stagnation-point flow of a semi-infinite viscous fluid against a liquid film resting on a plane
wall is considered under conditions of Stokes flow and for arbitrary Reynolds numbers …

Extensions to three-dimensional flow in a porous channel

RE Hewitt, PW Duck, M Al-Azhari - Fluid dynamics research, 2003 - iopscience.iop.org
We consider the flow of a viscous, incompressible fluid contained between two parallel,
porous walls. The flow is driven by a spatially uniform injection/suction of fluid through the …

Local thermal non-equilibrium effects in forced convection stagnation boundary layer flows in a porous medium: the Chebyshev collocation method for coupled system

B MC, RB Kudenatti - Engineering with Computers, 2023 - Springer
We study a forced convective three-dimensional flow and heat transfer in the porous
medium. Temperatures of the fluid and solid phases are not identical leading to local …

Localised streak solutions for a Blasius boundary layer

RE Hewitt, PW Duck - Journal of Fluid Mechanics, 2018 - cambridge.org
Streaks are a common feature of disturbed boundary-layer flows. They play a central role in
transient growth mechanisms and are a building block of self-sustained structures. Most …

Three-dimensional boundary layers with short spanwise scales

RE Hewitt, PW Duck - Journal of fluid mechanics, 2014 - cambridge.org
We investigate three-dimensional (laminar) boundary layers that include a spanwise scale
comparable to the boundary-layer thickness. A forcing of short spanwise scales requires …

Non-axisymmetric stagnation-point flow in a fluid saturated porous medium

P Weidman - Journal of Porous Media, 2020 - dl.begellhouse.com
ABSTRACT A modification of axisymmetric outer potential stagnation-point flow of strain rate
a in a porous medium is obtained by adding periodic radial and azimuthal velocities of the …