Essays about: "Diffusion equation"

Showing result 1 - 5 of 61 essays containing the words Diffusion equation.

  1. 1. Solving the incompressible Navier-Stokes equations in 3-D to model gas flow in a room

    University essay from Uppsala universitet/Avdelningen för beräkningsvetenskap

    Author : Fredrik Malmström; [2024]
    Keywords : ;

    Abstract : The thesis proposes to model the flow of gases in a room by solving the incompressible Navier-Stokes equations in three dimensions. The transportationof scalars such as temperature and concentration of CO2 is modeled by solving the advection-diffusion equation, and the effects of temperature on thevelocity is accounted for by employing the Boussinesq approximation. READ MORE

  3. 2. Image-driven simulation of brain tumors using a reaction-diffusion mathematical model

    University essay from Linköpings universitet/Avdelningen för medicinsk teknik

    Author : Kristos Qiqi; [2023]
    Keywords : brain tumor; cancer; mathematical model; simulation; magnetic resonance images; hjärntumör; cancer; matematisk model; simulering; magnetresonanstomografi bilder;

    Abstract : Brain tumors pose a big challenge in the field of neuro-oncology. Gliomas are the largest subgroup. Magnetic resonance imaging is a non-invasive tool for detecting and characterizing these tumors. Mathematical models, such as the reaction-diffusion equation, can be used for understanding the intricate behavior of gliomas. READ MORE

  4. 3. Construction and Evaluation of a Numerical Model for Heat Transfer in a Ladle During Pre-heating : A Finite Volume Approach to the Diffusion Equation using Julia

    University essay from KTH/Materialvetenskap

    Author : Gustaf Bjurstam; [2023]
    Keywords : Finite Volume Method; FVM; Diffusion equation; Ladle; Pre-heating; Baking; Heat equation; Heat transfer; Finita Volymmetoden; FVM; Diffusionsekvationen; Skänk; Förvärmning; Värmeledningsekvationen; Värmeledning;

    Abstract : Heat transfer is key to understanding many processes in engineering. At a steel mill heat transfer is absolutely crucial to understanding most of the processes. One such a process is the pre-heating of a freshly relined ladle. READ MORE

  5. 4. Stability and Controllability of Diffusion Models

    University essay from KTH/Skolan för teknikvetenskap (SCI)

    Author : Anton Mörtberg; [2023]
    Keywords : Turing Reaction and Diffusion model; System stability; Kronecker product; System controllability;

    Abstract : Alan Turing explored how patterns emerged in embryos. The modelsexplained by Turing describe how two morphogens interact with eachother and develop certain patterns though different conditions. READ MORE

  6. 5. The effect of material properties on PEM fuel cell catalysts on durable oxidation reduction activity

    University essay from KTH/Kemiteknik

    Author : Xiaoling Jiang; [2023]
    Keywords : PEM fuel cell; catalyst; ORR activity; particle size; degradation; PEM-bränslecell; katalysator; syrgasreduktionsaktivitet; partikelstorlek; åldring;

    Abstract : I detta examensarbete utforskas påverkan av partikelstorleken hos Pt-katalysatorer på kolbärare på syrereduktionen i polymerelektrolytmembran (PEM)-bränsleceller. Den elektrokemiskt aktiva ytarean, aktiviteten för syrereduktion och tillhörande degraderingshastigheter för de undersökta katalysatorerna beräknas och jämförs. READ MORE