... to known equations in those special cases. Email: ajparis@alaska.edu 06 06 2023 13 08 2023 14 08 2023 23 08 2023 boundary layers elasticity energy release rate and delamination failure criteria flow and fracture laminates mechanical properties of materials mixed...

... echanics . 02 07 2020 27 08 2020 27 08 2020 07 10 2020 boundary layers computational mechanics flow and fracture mixed mode fracture Modeling of fluid pressure-driven cracks is an integral part of the hydraulic fracturing technology that has been successfully...

... Division of ASME for publication in the J ournal of A pplied M echanics . 07 12 2019 07 03 2020 07 03 2020 11 03 2020 melting probe Stefan problem liquid layer ice penetration boundary layers flow and fracture heat transfer Melting probes are hot probes...

... ] but now it includes the additional transition to the τ regime. The magnitude of the maximum error is 1.17% at τ ~ 0 = 10 − 4 and 2.13% at τ ~ 0 = 1 (Appendix B ). boundary layers flow and fracture non-Newtonian flows Hydraulic fracturing plays...

... represents the boundary layer at the edge of a shallow hydraulic fracture, provided that its finite dimension (for example its radius) is large compared to L ms . In that case, the far-field curvature of the tip solution, K m s ϒ m s ( K ) , can effectively be used as one...

..., 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...

... 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 sphere at Re = 3700 is a canonical turbulent flow over a three-dimensional body, which presents...

...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. The location of singular surfaces is determined by a new relation 10 , which generalizes the known...

...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...

... 2009 bending boundary layers bubbles composite materials compressible flow explosions sandwich structures shock wave effects shock waves Since the pioneering analytical works of Taylor ( 1 ), it has been recognized that fluid-structure interaction (FSI) can be exploited to reduce...

... 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...

... viscous flows governed by the Navier–Stokes equations. Wang ( 1 ) first considered the two-dimensional stretching of a surface in a rotating fluid. However, relatively little work has been done on unsteady boundary layer flow due to impulsive starting from...

...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...