2017
DOI: 10.18280/ijht.350303
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Numerical solutions of 2-D unsteady incompressible flow with heat transfer in a driven square cavity using streamfunction-vorticity formulation

Abstract: In this paper, we have used a streamfunction-vorticity (ψ-ξ) formulation to investigate the problem of 2-D unsteady viscous incompressible flow with heat transfer in a driven square cavity with moving top and bottom walls. We used this formulation to solve the governing equations along with no-slip and slip wall boundary conditions. A general algorithm was used for this formulation in order to compute the numerical solutions for the low Reynolds numbers Re ≤ 50. The numerical solutions of temperature are calcu… Show more

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Cited by 12 publications
(19 citation statements)
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References 23 publications
(31 reference statements)
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“…xa0, xb0 -length of the dead zone in the air intake cavity and exhaust cavity, m; L-total journey of the cylinder, m; y-piston displacement, m The heat insulation and air discharge in the exhaust cavity of the cylinder is treated as the isentropic process and the temperature change inside the square-cavity is [19]:…”
Section: System Mathematic Modelmentioning
confidence: 99%
See 1 more Smart Citation
“…xa0, xb0 -length of the dead zone in the air intake cavity and exhaust cavity, m; L-total journey of the cylinder, m; y-piston displacement, m The heat insulation and air discharge in the exhaust cavity of the cylinder is treated as the isentropic process and the temperature change inside the square-cavity is [19]:…”
Section: System Mathematic Modelmentioning
confidence: 99%
“…This method can be used to shift the transfer function from the complex domain to the frequency domain with clear physical significance to analyze the system performance. The frequency characteristic analysis is performed to equation (19) to study the Bode diagram of the system transfer function. It is found that the amplitude margin and phase margin of the system are both positive, suggesting that the system is stable.…”
Section: Gs S S Smentioning
confidence: 99%
“…In light of these, PetroChina Tuha Oilfield Company invented the technology of supercritical cyclic steam stimulation (CSS) for exploiting heavy oil reservoirs [1,2]. Compared to conventional CSS, the supercritical CSS can extract the heavy oil deeper than 2,000m [3,4], realize a high daily yield of single well, and ensure a long period of stable production.…”
Section: Introductionmentioning
confidence: 99%
“…Messaoudi et al [21] analyzed numerical study of mixed convection and flow pattern in various across-shape concave enclosures. Ambethka and Kumar [22] numerecally studied the fluid flow and heat transfer in a four-sided lid-driven rectangular domain.…”
Section: Introductionmentioning
confidence: 99%