Search Results - "De Chant, Lawrence J."
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A high velocity plate penetration hole diameter relationship based on late time stagnation point flow concepts
Published in Applied mathematics and computation (01-11-2005)“…Here we derive a plate penetration hole diameter relationship using late time (steady) stagnation point flow concepts. High-speed impact of thin plates and the…”
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2
An implicit differential equation governing lumped capacitance, radiation dominated, unsteady, heat transfer
Published in International journal of numerical methods for heat & fluid flow (01-01-2012)“…Purpose - Although most physical problems in fluid mechanics and heat transfer are governed by nonlinear differential equations, it is less common to be…”
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3
A simple model to estimate turbulent density fluctuation and associated optical distortion over hydro-dynamically rough surfaces
Published in Mathematical and computer modelling (01-12-2011)“…Here we develop an analysis to estimate root-mean-square (RMS) turbulent density fluctuation over hydro-dynamically rough plates and cones for compressible…”
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The venerable 1/7th power law turbulent velocity profile: a classical nonlinear boundary value problem solution and its relationship to stochastic processes
Published in Applied mathematics and computation (15-02-2005)“…The 1/7th power law turbulent velocity profile, originally estimated from pipe flow data, provided and continues to provide a simple but effective relationship…”
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5
An explanation for the minimal effect of body curvature on hypervelocity penetration hole formation
Published in International journal of solids and structures (01-07-2004)“…Though not discussed extensively in the literature, it is known among workers in impact and penetration dynamics, e.g. the CTH analysis and development team at…”
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An analytical model for material line kinematics in steady and unsteady buoyancy driven flows in 2-d channels
Published in Chemical engineering science (01-07-2002)“…In this note, we use both developing and fully developed buoyant flow in a 2-d channel as a simple flow model useful for approximating buoyancy driven…”
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Validation of a computational implementation of the Grady–Kipp dynamic fragmentation theory for thin metal plate impacts using an analytical strain-rate model and hydrodynamic analogues
Published in Mechanics of materials (2005)“…Here the analytical plate penetration relationship derived by De Chant [An explanation for the minimal effect of body curvature on hypervelocity penetration…”
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8
A semi-infinite domain eigenvalue problem describing turbulent velocity fluctuations
Published in Computers & mathematics with applications (1987) (01-09-2010)“…This paper discusses the formulation and approximate solution of an eigenvalue problem that provides estimates for fully turbulent velocity fluctuations. The…”
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Quasi-steady approximations to initial value problems with application to sediment transport
Published in Applied mathematics and computation (2003)“…We discuss the issues associated with quasi-steady approximations to the heat equation on both finite and infinite domains. The long time behavior of unsteady,…”
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10
Modelling alluvial fan morphology
Published in Earth surface processes and landforms (01-07-1999)“…A mathematical model which estimates the scale‐independent sediment surface profile of alluvial fans has been developed. This model utilizes a diffusive…”
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Introduction of non-uniformity through linearization of the system governing turbulent, mixing of a scalar quantity in a 2-d mixing layer
Published in Applied mathematics and computation (15-08-2002)“…The introduction of mathematical non-uniformity in the formulation of the turbulent mixing of a scalar quantity (mass, temperature, etc.) for a 2-d, free shear…”
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Analytical development of non-ideal effects for control volume based mixer models
Published in Applied thermal engineering (01-10-2001)“…Many researchers have modeled ideal mixing and entrainment phenomena using control volume methods. The simplicity, robustness and generally useful results make…”
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13
Extension of a combined analytical/numerical initial value problem solver for turbulent mixing with combustion
Published in Computers & fluids (01-12-2003)“…Here, we describe the development of a reacting flow multi-species/combustion methodology, implemented as an extension to the differential reduced ejector…”
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14
Extension of a combined analytical/numerical initial value problem solver for unsteady periodic flow
Published in International journal for numerical methods in fluids (30-11-2002)“…Here we describe analytical and numerical modifications that extend the Differential Reduced Ejector/ mixer Analysis (DREA), a combined analytical/numerical,…”
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15
An analytical solution for unsteady, inviscid jet formation due to asymmetric 2-d ring collapse
Published in International journal of impact engineering (01-07-2004)“…Here we derive a closed form analytical solution for an unsteady inviscid jet caused by the asymmetric collapse of a 2-d ring using linearized, small…”
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16
Turbulent, mixing of a scalar quantity in a 2-d mixing layer using matched asymptotic expansions
Published in Applied mathematical modelling (01-12-2003)“…In this note analytical solutions for the turbulent mixing of a scalar quantity (mass, temperature, etc.) for a 2-d, free shear flow are developed…”
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17
Development of an elementary quantitative competing species model: potential guidelines for exotic/weed plant species control and ecosystem restoration programs
Published in Ecological engineering (01-04-2004)“…Here, we develop an approximate solution to the classical Lotka–Volterra two-species differential equation with application to plant system interactions. The…”
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18
A computationally implementable criterion for the solvability of boundary value problems on an infinite domain
Published in Applied mathematics and computation (10-01-2002)“…In this note we develop a simple, computationally implementable criterion to determine the solvability of boundary value problems. This criterion for…”
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19
An analytical skin friction and heat transfer model for compressible, turbulent, internal flows
Published in The International journal of heat and fluid flow (01-12-1998)“…An analytical skin friction model for compressible, turbulent, internal, fully developed flow involving adiabatic and non-adiabatic, smooth and rough flows has…”
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20
Simplified turbulence modeling for forced vortical mixers using a kinematic wave analogy
Published in Applied mathematical modelling (01-05-2001)“…In spite of the rapid advances in both scalar and parallel computational tools, the large number and breadth of variables involved in both design problems make…”
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