Flow visualization of Rayleigh–Bénard convection for cubical cavity

Heat Transfer ◽  
2020 ◽  
Vol 49 (5) ◽  
pp. 3000-3012
Author(s):  
Narayana Vekamulla ◽  
Hari Ponnamma Rani
Keyword(s):  
Flow Visualization ◽  
Bénard Convection ◽  
Benard Convection ◽  
Cubical Cavity ◽  
Rayleigh Benard Convection ◽  
Rayleigh Benard

Role of heatlines on thermal management during Rayleigh-Bénard heating within enclosures with concave/convex horizontal walls

2017 ◽  
Vol 27 (9) ◽  
pp. 2070-2104 ◽  
Author(s):  
Pratibha Biswal ◽  
Tanmay Basak
Keyword(s):  
Heat Flow ◽  
Flow Visualization ◽  
Numerical Solutions ◽  
Fluid Velocity ◽  
Content Type ◽  
Bénard Convection ◽  
Benard Convection ◽  
First Time ◽  
Rayleigh Benard Convection ◽  
Rayleigh Benard

Purpose This study aims to carry out the analysis of Rayleigh-Bénard convection within enclosures with curved isothermal walls, with the special implication on the heat flow visualization via the heatline approach. Design/methodology/approach The Galerkin finite element method has been used to obtain the numerical solutions in terms of the streamlines (ψ ), heatlines (Π), isotherms (θ), local and average Nusselt number ( Nut¯) for various Rayleigh numbers (103 ≤ Ra ≥ 105), Prandtl numbers (Pr = 0.015 and 7.2) and wall curvatures (concavity/convexity). Findings The presence of the larger fluid velocity within the curved cavities resulted in the larger heat transfer rates and thermal mixing compared to the square cavity. Case 3 (high concavity) exhibits the largest Nut¯ at the low Ra for all Pr. At the high Ra, Nut¯ is the largest for Case 3 (high concavity) at Pr = 0.015, whereas at Pr = 7.2, Nut¯ is the largest for Case 1 (high concavity and convexity). Practical implications The results may be useful for the material processing applications. Originality/value The study of Rayleigh-Bénard convection in cavities with the curved isothermal walls is not carried out till date. The heatline approach is used for the heat flow visualization during Rayleigh-Benard convection within the curved walled enclosures for the first time. Also, the existence of the enhanced fluid and heat circulation cells within the curved walled cavities during Rayleigh-Benard heating is illustrated for the first time.

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