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Computational Geomechanics: Unconfined Flow Analysis

Explores unconfined flow analysis in geomechanics, emphasizing iterative solution methods and boundary condition considerations.

Recent Advances in the Dimer Model and Its Applications

Covers recent advancements in the dimer model, emphasizing its applications in probability and conformal field theory.

Square Potential Well

Covers the concept of a square potential well and the search for solutions using trigonometric functions.

Computational Geomechanics: Week 4

Explores transient flow in porous media, covering governing equations, stability conditions, and numerical methods.

Heat: Transport and Boundary Conditions

Explores heat transport mechanisms like conduction, convection, and radiation, along with boundary conditions for heat exchange.

Internal Heat Transfer Effects Log in to Mediaspace to watch this video

Covers internal heat transfer effects in heterogeneous reactions, emphasizing dimensionless numbers and transport effects.

Approximation to Boltzmann Equation Log in to Mediaspace to watch this video

Covers the approximation treatments of the Boltzmann Equation for photons, phonons, and electrons, exploring diffusion and ballistic-diffuse approaches.

Heat Transfer Applications Log in to Mediaspace to watch this video

Explores the applications of the Fourier equation in heat transfer phenomena.

Thermal Bridge Analysis: Materials and Conditions Log in to Mediaspace to watch this video

Explores thermal bridge analysis, material properties, and boundary conditions for building insulation.

Poincaré - Friedrichs: Theorem and Kernel Inequality Log in to Mediaspace to watch this video

Explores the Poincaré - Friedrichs theorem and kernel inequality in constant conditions and boundary uniqueness.

Heat Transfer and Membrane Deformation Log in to Mediaspace to watch this video

Discusses membrane deformation, flow in planes, and heat transfer by conduction.

Numerical Flow Simulation: Boundary Conditions Log in to Mediaspace to watch this video

Covers the numerical simulation workflow for fluid dynamics, focusing on boundary conditions and their importance for solution convergence.

Boundary Conditions - 1D Systems Log in to Mediaspace to watch this video

Covers boundary conditions for heat diffusion in 1D systems.

Quantum Mechanics: Power Series Solutions Log in to Mediaspace to watch this video

Explores power series solutions in quantum mechanics for differential equations and energy quantization.

Solute Transport in Porous Media Log in to Mediaspace to watch this video

Explores solute transport in porous media, covering advection-diffusion equations, boundary conditions, reactions, and numerical modeling in PHREEQC.

Electric Displacement in Dielectrics: Gauss's Law and Boundary Conditions Log in to Mediaspace to watch this video

Introduces the concept of electric displacement vector D and explores boundary conditions in dielectrics.

Heterogeneous Reactions: Transport Effects Log in to Mediaspace to watch this video

Explores transport effects in heterogeneous catalysis, including molecular diffusion and Knudsen diffusion in different types of pores.

Classical Size Effects: Transport Perpendicular to Boundaries Log in to Mediaspace to watch this video

Explores classical size effects in transport perpendicular to boundaries, focusing on nanoscale heat transfer and energy conversion.

Linear Statics of Deformable Solids Log in to Mediaspace to watch this video

Introduces linear statics for linear elastic solids in small deformations, stress equilibrium, the Virtual Work Principle, and the Finite Element Method.

Structural Mechanics Part 2: FEM & Scaling Laws Log in to Mediaspace to watch this video

Explores Finite Element Modeling in Structural Mechanics, covering convergence, nonlinear displacement, and scaling laws in micro and nanosystems.