International Research Journal of Engineering and Technology (IRJET)
e-ISSN: 2395-0056
Volume: 10 Issue: 05 | May 2023
p-ISSN: 2395-0072
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Mixed Convection Flow And Heat Transfer In A Lid Driven Cavity Using SIMPLE Algorithm Arti Kaushik Department of Mathematics, Maharaja Agrasen Institute of Technology, Delhi. India ----------------------------------------------------------------------------***------------------------------------------------------------------------Using the finite volume method of the ANSYS FLUENT Abstract - In the present study mixed convection flow and
commercial CFD code laminar mixed convection characteristics were studied in a square cavity with a variable sized isothermally heated square blockage inside the cavity[14]. By keeping the blockage at a higher temperature and four surfaces of the cavity (including the lid) at a colder temperature, it was found that the blockage placed around the top left and the bottom right corners of the cavity results in the most preferred heat transfer. A study of steady laminar mixed convection inside a lid-driven square cavity filled with water, when both top and bottom walls are moving and are kept at cold and hot temperature respectively was done by Ismael et al [15]. They applied USR finite difference method and showed that convection is declined for certain critical values for the partial slip parameter. Using ANSYS FLUENT commercial code based on a finite volume method numerical study was done for mixed convection laminar flow in a lid-driven square cavity in which top lid of the cavity is moving rightwards [16]. The cavity had two square isothermally heated internal blockages which were kept at hot temperature and the walls of the cavity are kept at a cold temperature. They observed that the location of the blockage as well as the separation distance between the two blockages significantly changes the average Nusselt number. The effect of Richardson number on the heat transfer in a differentially heated lid−driven square cavity when top and bottom moving walls are maintained at different constant temperatures was studied[17]. Finite element approach using characteristic based split (CBS) algorithm was applied for this study. A numerically study of twodimensional laminar mixed convection in a lid-driven square cavity filled with a nanofluid was done by Zeghbid and Bessaih[18].They studied the effect of the Rayleigh number, the Reynolds number and the volume fraction of the nonofluid on the average Nusselt number using finite volume method. The movable top and bottom walls were kept at a local cold temperature and the nanofluid is constantly heated by two heat sources placed on the two vertical walls. Under these conditions it was found that the increase in Rayleigh number and solid volume fraction of nanofluids results in increase in average Nusselt number. Using ANSYS FLUENT, numerical investigation of two-
heat transfer in steady 2-D incompressible flow through a lid driven cavity is investigated. The upper wall of cavity is moving with uniform velocity and is at higher temperature. The stationary lower wall is kept at lower temperature. The governing equations of the model are solved numerically using SIMPLE algorithm. A staggered grid system is employed for numerical computations for velocity, pressure and temperature. Under relaxation factors for velocity, pressure and temperature are used for the stability of the numerical solutions. Bernoulli equation has been taken up to check the accuracy of the computed solutions. The significant findings from this study have been given under conclusion.
Keywords - incompressible flow, lid driven cavity, SIMPLE algorithm, convection flow.
staggered
grid
system,
mixed
1. INTRODUCTION The phenomena of combined forced convection and natural convection in a lid driven cavity have many practical applications ([1],[2],[3]). The importance of this problem has led to various researches ([4]-[9]) A numerical study of mixed convection heat transfer in a two-dimensional rectangular cavity with partially heated bottom wall and vertically moving sidewalls was done by Guo and Sharif [10]. Later, mixed convective heat transfer was studied in a lid driven cavity with aspect ratio 10, when the top of the lid is moving and is at higher temperature than the bottom wall [11]. Numerical simulations were done for 2-D lid-driven square enclosure partitioned by a solid divider with a finite thickness and finite conductivity to study the mixed convection heat transfer taking two different orientations of left vertical wall of enclosure [12]. Saha et al numerically studied two dimensional mixed convection in a square enclosure with moving top lid and keeping both top and bottom wall at constant temperature[13]. They studied flow and heat transfer characteristics, streamlines, isotherms and average wall Nusselt number for different Richardson number.
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