Seyed Mostafa 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

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 D۲Q۹ 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 ۹۰⁰ to ۲۷۰⁰. The Nusselt number variation of horizontal ellipse geometry is negligible from ۹۰⁰ to ۲۷۰⁰.  Also, the Nusselt number of the circular geometry is larger than the other geometries from ۲۷۰⁰ to ۹۰⁰. The highest average Nusselt number belongs to circular, vertical and horizontal ellipse geometries, respectively.

Lattice Boltzmann model, Fuel heating, Particle Volume Fraction, two–phase fluid, Natural Convection