Shahid Rajaee Teacher Training University (SRTTU) Journal of Computational & Applied Research in Mechanical Engineering (JCARME) 2228-7922 13 1 2023 09 01 Lattice Boltzmann simulation inside a cavity: The effect of pipe profile on natural convection 67 74 1873 10.22061/jcarme.2023.9454.2270 EN Seyed Mostafa Moafi Madani Department of Mechanical Engineering, Sari Branch, Islamic Azad University, Sari, Iran Javad Alinejad Department of Mechanical Engineering, Sari Branch, Islamic Azad University, Sari, Iran Yasser Rostamiyan Department of Mechanical Engineering, Sari Branch, Islamic Azad University, Sari, Iran Keivan Fallah Department of Mechanical Engineering, Sari Branch, Islamic Azad University, Sari, Iran Journal Article 2022 12 03 In the present study, the effect of the heating pipe profile on natural convection in a two-phase fluid inside a cavity has been investigated. This geometry has been simulated with the LB Method based on the D2Q9 model for analyzing stream lines, dimensionless velocity field of fluid flow, solid particles volume fraction, temperature arrangement, and Nusselt number. These parameters have been studied in three different cases of the cavity. The results are signified by changing the geometry from a horizontal ellipse to a circular one and a vertical ellipse;the maximum particle volume fraction is decreased. Also, by changing the geometry from a horizontal ellipse to a circular and vertical ellipse, larger velocity vectors have been formed around the geometry. The Nusselt number variations of circular and  vertical ellipse geometries are from 90⁰ to 270⁰. The Nusselt number variation of horizontal ellipse geometry is negligible from 90⁰ to 270⁰.  Also, the Nusselt number of the circular geometry is larger than the other geometries from 270⁰ to 90⁰. The highest average Nusselt number belongs to circular, vertical and horizontal ellipse geometries, respectively. https://jcarme.sru.ac.ir/article_1873_5db291a646c8f1c1e9314924037abf44.pdf