1977
DOI: 10.1115/1.3450717
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Free Convection Boundary Layers on Cylinders of Elliptic Cross Section

Abstract: Numerical results are presented for free convection boundary layers over horizontal cylinders of elliptic cross section when the major axis is both horizontal and vertical and when the cylinder is isothermal and has constant heat flux. The particular case of a circular cylinder is considered and these results are compared with the various series expansions suggested for solving the equations.

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Cited by 130 publications
(66 citation statements)
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“…To validate the present solutions, we compare the present model with the earlier Newtonian model of Merkin [35] and we observe that an excellent agreement between the previous results as shown in Table 1.…”
Section: Resultssupporting
confidence: 74%
“…To validate the present solutions, we compare the present model with the earlier Newtonian model of Merkin [35] and we observe that an excellent agreement between the previous results as shown in Table 1.…”
Section: Resultssupporting
confidence: 74%
“…In order to assess the present numerical method we compare present results with previously published work by Merkin (1977) and Yih (2000) and good agreement is obtained as shown in Table 2. Table 4.…”
Section: Code Validationsupporting
confidence: 53%
“…It appears that Merkin [1,7] was the first author who presented a complete solution of this problem using the Blasius and Gortler series expansion methods along with an integral method and a finite-difference scheme. The problem of free convection boundary layer flow from cylinders of elliptic cross-section was also studied by Merkin [8].…”
Section: Introductionmentioning
confidence: 99%