Natural Convection Analysis of Nanofluid in a Closed Cavity via FEM Approach – National University of Sciences and Technology (NUST)

Seminars and Workshops Natural Convection Analysis of Nanofluid in a Closed Cavity via FEM Approach

Topic of Research Seminar: Natural Convection Analysis of Nanofluid in a Closed Cavity via FEM Approach

Abstract: This framework is established to investigate the thermal management of free convection enclosed in a trapezoidal cavity filled with the water-based copper oxide (CuO) nanofluid. As nanoparticles’ volume fraction play a significant role to handle the thermal conductivity of any working fluid, so this model addresses the complex structure that is widely used at the industrial level and many other mechanisms. An identical trapezoidal shape cavity is placed inside the big trapezoidal cavity that has three various constraints at the surface (cold, insulated, and heated). Aspect ratio that depends upon the size of the inner cavity is also determined. Complete and compatible mathematical model is constructed in the form of a nonlinear coupled partial differential equation. These sets of equations are characterized under the law of conservation of mass, momentum, and energy equation along with the restricted domain of the cavity. Mathematical expressions are merged with the defined laws in the form of effective thermal conductivity and viscosity of the nanofluid. A Galerkin based Finite Element method (FEM) is implemented to attain the results in terms of stream function and isotherms within the restricted domain of the cavity. Results are also obtained for velocity and temperature of the nanofluid at vertically mean position of the cavity. The simulations are performed for nanoparticles volume fraction,heated length,aspect ratio,Rayleigh numberand three heated conditions (cold, adiabatic, and hot) for inner trapezium. It is found thatflow and thermal field is getting stronger due to an increase in Rayleigh number.

Subject Field of Topic: Computation Fluid Dynamics

Name of Speaker: Dr. Rizwan Ul Haq

Professorial Rank of Speaker: Associate Professor (Mathematics Dpt.) SNS – NUST

University Email of Speaker: [email protected], [email protected]

University Profile weblink: https://sns.nust.edu.pk/faculty/rizwan-ul-haq/

Affiliation of Speaker: School of Natural Sciences (SNS), National University of Sciences and Technology (NUST)

Date and Venue: February 23, 2023 at 1530 hrs, School of Natural Sciences (SNS) Old Building, Room # 303, NUST Islamabad Campus