Effect of isoflux thermal boundary condition on mixed convective heat transfer from a sphere for liquid metals

Nath, Dipjyoti; Raju, B. Hema Sundar

doi:10.1080/01430750.2019.1636881

Cited by 5 publications

(1 citation statement)

References 32 publications

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“…For improving the accuracy of the numerical scheme, Sekhar and Raju [27], Sekhar et al [28], Nath et al [29] and Raju et al [30] attempted the problems of forced, natural and mixed convection past an isothermal sphere employing spherical geometry higher order compact scheme (SGHOCS) which is fourth-order accurate. Recently, Nath and Raju [31] has reported the problem of mixed convection heat transfer past an isoflux sphere for liquid metals (Pr 1  ) applying SGHOCS.…”

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confidence: 99%

Analysis of mixed convective heat transfer past an isoflux/isothermal sphere: influence of Prandtl number

Raju¹,

Nath²,

Pati³

2020

Phys. Scr.

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Numerical simulations are conducted to illustrate the influence of Prandtl number on the mixed convection heat transfer past an isoflux/isothermal sphere. A spherical geometry higher order compact scheme (SGHOCS) is applied to obtain the velocity and temperature fields. The results are demonstrated in terms of velocity, contours of vorticity, streamlines and isotherms together with drag coefficient (CD), local Nusselt number (Nu) and mean Nusselt number ( ) on the surface of the sphere in the range of Reynolds number (Re) from 1 to 200, Prandtl number (Pr) from 0.72 to 20 and Richardson number (Ri) from 0 to 2.0. We identify the critical Richardson number (Ricr) above which the flow separation is totally suppressed. The study reveals that for a particular value of Re, Ricr increases with Pr for isoflux case, whereas the opposite trend is observed for an isothermal case. The drag coefficient decreases with Re and Pr, while the same increases with Ri. Furthermore, the drag coefficient is larger for isothermal boundary condition when compared to isoflux boundary condition. Intuitively, it is found that for higher values of Re and Pr, the variation of with Ri is non-monotonic. Moreover, as Ri increases, the decrease in is larger for isothermal boundary condition when compared to isoflux boundary condition.

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