Browse Technical Reports - Theoretical and Applied Mechanics (TAM) by Issue

  • Fried, Eliot; Gurtin, Morton E. (2006-02)
    We here develop a continuum-mechanical formulation and generalization of the Navier–Stokes-alpha equation based on a general framework for fluid-dynamical theories involving gradient dependencies (Fried & Gurtin 2005). ...

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  • Wu, Yanhua; Christensen, Kenneth T. (2006-01)
    The present effort documents the population trends of prograde and retrograde spanwise vortex cores in wall turbulence outside the buffer layer. Large ensembles of instantaneous velocity fields are acquired by particle-image ...

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  • Wu, Yanhua; Christensen, Kenneth T. (2006-01)
    Particle-image velocimetry experiments are performed to study the response of smooth-wall turbulent channel flow to a short fetch of roughness (ten outer length scales long). The roughness studied herein is replicated from ...

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  • Natrajan, Vinay K.; Christensen, Kenneth T. (2006-01)
    The present effort documents the relationship between dominant subgrid-scale energy transfer events and coherent motions within the log layer of wall turbulence. Instantaneous velocity fields in the streamwise–wall-normal ...

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  • Kasimov, Aslan R.; Stewart, D. Scott (Department of Theoretical and Applied Mechanics (UIUC), 2004-02)
    Based on a general theory of detonation waves with an embedded sonic locus that we have developed in Kasimov (2004) and Stewart & Kasimov (2004), we carry out asymptotic analysis of weakly-curved slowly-varying detonation ...

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  • Kasimov, Aslan R.; Stewart, D. Scott (Department of Theoretical and Applied Mechanics (UIUC), 2004-03)
    In this work we discuss the application of an evolution equation that we have developed for the dynamics of a slowly evolving weakly-curved detonation to a problem of direct detonation initiation. Despite the relative ...

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  • Panat, Rahul P.; Hsia, K. Jimmy; Cahill, David G. (Department of Theoretical and Applied Mechanics (UIUC), 2004-03)
    Deformation mechanisms involving mass transport by stress driven diffusion influence a large number of technological problems. We study the formation of undulations on surfaces of stressed films at high temperature by ...

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  • Riahi, Daniel N. (Department of Theoretical and Applied Mechanics (UIUC), 2004-03)
    Steady and oscillatory modes of convective flow in a horizontal mushy layer during alloy solidification are reviewed. The theoretical problem has been based on the model developed by Amberg and Homsy and under the limit ...

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  • Riahi, Daniel N. (Department of Theoretical and Applied Mechanics (UIUC), 2004-03)
    This is a review article on modeling convective flows due to either buoyancy force or surface tension gradient force during protein crystallization that have been studied in the past. The modeling and computational studies ...

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  • Bagchi, Prosenjit; Balachandar, S. (Department of Theoretical and Applied Mechanics (UIUC), 2004-03)
    The interaction of an isolated spherical particle with an isotropic turbulent cross-flow is considered using direct numerical simulations (DNS). The particle Reynolds number is varied from about 50 to 600 and the particle ...

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  • Brown, Eric N.; White, Scott R.; Sottos, Nancy R. (Department of Theoretical and Applied Mechanics (UIUC), 2004-04)
    The addition of liquid-filled urea-formaldehyde (UF) microcapsules to an epoxy matrix leads to significant reduction in fatigue crack growth rate and corresponding increase in fatigue life. Mode-I fatigue crack propagation ...

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  • Zeng, Lanying; Balachandar, S.; Fischer, Paul (Department of Theoretical and Applied Mechanics (UIUC), 2004-05)

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  • Dolbow, John E.; Fried, Eliot; Ji, Huidi (Department of Theoretical and Applied Mechanics (UIUC), 2004-06)
    We present a strategy for obtaining numerical solutions to a system of nonlinear, coupled evolution equations describing volume transitions in stimulus-responsive hydrogels (SRHs). The theory underlying our sharp-interface ...

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  • Riahi, Daniel N. (Department of Theoretical and Applied Mechanics (UIUC), 2004-07)
    We consider the problem of nonlinear steady convective flow in a horizontal dendrite layer during alloy solidification. We analyze the effect of permeability of the layer on the stationary modes of convection in the form ...

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  • Thoroddsen, Sigurdur T.; Shen, Amy Q. (Department of Theoretical and Applied Mechanics (UIUC), 2000-05)
    Worthington jets are a familiar sight in light rain upon puddles and ponds. These narrow vertical jets are formed by the radial collapse of the liquid "craters" produced by the impacting rain drops. Such jets can also be ...

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  • Chaïeb, Sahraoui; Sato-Matsuo, Eriko; Tanaka, Toyoichi (Department of Theoretical and Applied Mechanics (UIUC), 2000-07)
    Polymer gels can undergo a volume phase transition (either continuous or discontinuous) when an external condition such as temperature or solvent composition is altered. This phase transition is either a shrinking or a ...

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  • Kuznetsov, Igor R.; Stewart, D. Scott (Department of Theoretical and Applied Mechanics (UIUC), 2000-10)
    An approach is presented for modeling the thermal expansion boundary layer in energetic materials such as solid propellants and explosives during their combustion. A thermodynamically consistent system of conservation laws ...

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  • Dong, Fei; Hsui, Albert T.; Riahi, Daniel N. (Department of Theoretical and Applied Mechanics (UIUC), 2001-01)
    Linear and nonlinear analyses of thermal convection with a variable "buoyancy factor", which is defined as the product of thermal expansion coefficient and gravitational acceleration, are investigated for a fluid layer ...

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  • Stewart, D. Scott; Jackson, Thomas L. (Department of Theoretical and Applied Mechanics (UIUC), 2001-01)
    In the design of explosive systems the generic problem that one must consider is the propagation of a well-developed detonation wave sweeping through an explosive charge with a complex shape. At a given instant of time the ...

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  • Riahi, Daniel N. (2006-01)
    Flow instability due to oscillatory modes of disturbances in a horizontal dendrite layer during alloy solidification is investigated under an external constraint of rotation. The flow in the dendrite layer, which is ...

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