..., or metallic specimens with side grooves aligned with the x axis. Email: ajparis@alaska.edu 06 06 2023 13 08 2023 14 08 2023 13 12 2023 boundary layers elasticity energy release rate and delamination failure criteria flow and fracture laminates mechanical properties...

... Contributed by the Applied Mechanics Division of ASME for publication in the J ournal of A pplied M echanics . 02 07 2020 27 08 2020 27 08 2020 07 10 2020 boundary layers computational mechanics flow and fracture mixed mode fracture It has been established...

... on Mars and on the moons Europa, Enceladus, and Titan, cf., e.g., Refs. [ 3 – 7 ], or in isolated terrestrial cryoenvironments, such as permafrost cryopegs and subglacial ecosystems, cf., e.g., Ref. [ 8 ]. melting probe Stefan problem liquid layer ice penetration boundary layers flow...

... Mechanics Division of ASME for publication in the J ournal of A pplied M echanics . 04 08 2019 06 09 2019 06 09 2019 12 09 2019 boundary layers flow and fracture non-Newtonian flows Hydraulic fracturing plays a major role in oil and gas production from conventional...

... ,   K ≳ 10 In fact, the curvature of the layer is uniform in the toughness-dominated regime. As elaborated further in the paper, the constructed tip solution represents the boundary layer at the edge of a shallow hydraulic fracture, provided that its finite dimension (for example its...

..., 2017; final manuscript received July 23, 2017; published online August 18, 2017. Editor: Yonggang Huang. 27 06 2017 23 07 2017 Boundary layers Constitutive modeling Mechanical properties of materials Materials Plastic liquids are all around us, from consumer products...

... simulations to obtain high-fidelity statistical averages. Subjecting the sphere to turbulent inflow removes the low-frequency modes from the solution and enables shorter-time simulations to achieve converged flow statistics. Boundary layers Computational mechanics Turbulence The flow past...

...A. El-Nahhas The strongly nonlinear problem for the steady, laminar, viscous incompressible ,and electrically conducting fluid near the equator of the boundary layer flow due to a rotating sphere and in the presence of a uniform radial magnetic field is considered. Analytic approximations...

...S. J. Karabelas A new similarity transformation applies to the boundary layer equations, which govern laminar, steady, and incompressible flows. This transformation is proved to be more consistent and more complete than the well known Falkner–Skan transformation. It applies to laminar...

...Mohamed Bachiri; Ahcene Bouabdallah In this paper, the unsteady boundary-layer flow over a semi-infinite flat plate is solved by means of an analytic approach. Via an ad hoc technique based on the boundary-layer flow evolution, an analytic expression of the velocity profile is proposed...

... illustrations are provided over a wide range of power hardening materials. Simple formulae are derived for shock wave characteristics and for the asymptotic behavior within near cavity wall boundary layer. 12 04 2009 22 10 2009 09 04 2010 09 04 2010 boundary layers cavitation...

...R. Ahmad; K. Naeem; Waqar Ahmed Khan This paper presents the classical approximation scheme to investigate the velocity profile associated with the Falkner–Skan boundary-layer problem. Solution of the boundary-layer equation is obtained for a model problem in which the flow field contains...

...Xiangcheng You; Hang Xu; Shijun Liao In this paper, the nonsimilarity boundary-layer flows of second-order fluid over a flat sheet with arbitrary stretching velocity are studied. The boundary-layer equations describing the steady laminar flow of an incompressible viscoelastic fluid past a semi...

... modeling, analysis, and design of blast-resistant sandwich structures are also drawn from the analysis. 01 01 2008 11 07 2008 15 06 2009 bending boundary layers bubbles composite materials compressible flow explosions sandwich structures shock wave effects shock waves...

... intensities that can become critical. A complete parametric dependence of the energy release rate and mode mix is presented in terms of the ratio of the crack length to its depth below the surface and coefficients characterizing heat transfer across the crack and across the gaseous boundary layer between...

...Zhuyun Xu; Horia Hangan; Pei Yu Various types of impinging jet flows are analytically modeled using inviscid free Gaussian jet solutions superimposed with experimentally fitted boundary layer models. Improved (more robust) and simplified solutions to existing models are defined. Velocity profiles...

...T. Hayat; Z. Abbas; M. Sajid In this study, we derive an analytical solution describing the magnetohydrodynamic boundary layer flow of a second grade fluid over a shrinking sheet. Both exact and series solutions have been determined. For the series solution, the governing nonlinear problem...

... , N. , Amin , N. , and Pop , I. , 2002 , “ Unsteady Boundary Layer Flow due to Stretching Surface in a Rotating Fluid...

...A. A. Rashaida; D. J. Bergstrom; R. J. Sumner In the present investigation, an analytical numerical solution is presented for the mass transfer from a rotating disk to a Bingham fluid for the case of laminar boundary layer flow. The analytical approach includes the coupled effects of steady disk...

... predictions and the numerical results obtained by solving the full governing equations. For large Rayleigh numbers ( R T ⪢ 1 ), an approximate solution valid in the limit of the boundary layer regime is obtained. 30 09 2004 12 05 2005 natural convection two-phase flow fluid dynamics flow...