Essays about: "Boundary Condition"

Showing result 1 - 5 of 113 essays containing the words Boundary Condition.

  1. 1. Do viscous flows slip?

    University essay from Göteborgs universitet/Institutionen för matematiska vetenskaper

    Author : Björn Sjösvärd; [2023-12-21]
    Keywords : Mathematics; partial differential equations; multivectors; Hodge de-compositions; the Stokes equation; Hodge boun;

    Abstract : In this thesis, the Stokes equation is discussed and solved under different boundary conditions. The Stokes equation governs the flow of viscous liquids, for example honey or syrup. The first chapters in the thesis provides an introduction to multivector algebra and analysis, with the aim of presenting the concept of Hodge decompositions. READ MORE

  3. 2. Development of a cable analysis theory based on integral equation derivation

    University essay from Luleå tekniska universitet/Institutionen för teknikvetenskap och matematik

    Author : Sandra Larsson; [2023]
    Keywords : ;

    Abstract : Electrification of transportation is a major subject of research today, especially in air travel. The increasing number of electronics and cables also increases the interference between them. From this, interest grew to increase the accuracy of electromagnetic modeling of cables. READ MORE

  4. 3. Symmetry in a free boundary problem

    University essay from KTH/Matematik (Avd.)

    Author : Seuri Basilio Kuosmanen; [2023]
    Keywords : Analysis of PDEs; Bernoulli-type boundary condition; free boundary problem; Laplacian operator; method of moving planes; symmetry; Analys av PDEs; Bernoulli-typ randvärde; frirandsproblem; Laplaceoperatorn; moving-plane metoden; symmetri;

    Abstract : We consider a variational formulation of a Bernoulli-type free boundary problem for the Laplacian operator with discontinuous boundary data. We show the existence of a weak solution to the problem. Moreover, we show that the solution has symmetry properties inherited by symmetric data. READ MORE

  5. 4. Dirichlet-to-Neumann maps and Nonlinear eigenvalue problems

    University essay from KTH/Skolan för teknikvetenskap (SCI)

    Author : Tindra Jernström; Anna Öhman; [2023]
    Keywords : Dirichlet-to-Neumann maps; Nonlinear eigenvalue problems; Absorbing boundary conditions;

    Abstract : Differential equations arise frequently in modeling of physical systems, often resulting in linear eigenvalue problems. However, when dealing with large physical domains, solving such problems can be computationally expensive. READ MORE

  6. 5. Experimental Investigation of High Prandtl Number Flow in Additive Manufactured Channels

    University essay from KTH/Skolan för industriell teknik och management (ITM)

    Author : LINDA YANG; [2023]
    Keywords : Additive manufacturing; Heat transfer; Darcy friction factor; Nusselt number; Minichannel.; Friformsframställning; Värmeöverföring; Darcy friction factor; Nusselt number; Minikanal.;

    Abstract : Additive manufacturing (AM) rapidly evolves and expands into new industries dueto its great design freedom and time savings. Injection molding is an excellentindustry where AM can help reduce cooling time by printing complex coolingchannels for more effective and uniform cooling. READ MORE