1963
DOI: 10.1115/1.3686079
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Heat Transfer From a Small Isothermal Spanwise Strip on an Insulated Boundary

Abstract: Detailed analysis of heat transfer of an isothermal spanwise strip in a uniform shear field is presented. Solutions for the leading edge and the trailing edge are obtained by method of relaxation. These solutions are exact in that the streamwise heat conduction term, in the differential equation of energy, is not neglected. The results are compared with the Le´veˆque similarity solution, and the ranges where the solution is valid are defined. A similarity solution for the trailing wake is also presented.

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Cited by 72 publications
(32 citation statements)
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“…Furthermore, the majority are valid under a specific hypothesis, e.g. for a specific range of Pé clet numbers (Ling, 1963) or a specific range of oscillation frequencies (Sobolik et al, 1986), neglecting the gap effect (Dumaine, 1981). We extended then our study to test the robustness of the inverse method for ranges of such effects, to know the frequency effect and the directional angle effect.…”
Section: Inverse Methods For the Determination Of The Wall Shear Ratesmentioning
confidence: 91%
“…Furthermore, the majority are valid under a specific hypothesis, e.g. for a specific range of Pé clet numbers (Ling, 1963) or a specific range of oscillation frequencies (Sobolik et al, 1986), neglecting the gap effect (Dumaine, 1981). We extended then our study to test the robustness of the inverse method for ranges of such effects, to know the frequency effect and the directional angle effect.…”
Section: Inverse Methods For the Determination Of The Wall Shear Ratesmentioning
confidence: 91%
“…However, the mass flux distribution on the upstream electrode remains the same for all insulation thicknesses since the current model assumes that streamwise convection dominates x-diffusion. Calculated concentrations on the wall in the wake region near the trailing edge are compared with Ling's (1963) results in Table 2. The concentrations calculated in this study are higher than Ling's results.…”
Section: Steady State Flow Casementioning
confidence: 99%
“…It has been shown (Ling 1963) that streamwise diffusion could be neglected as soon as S § > 5,000. In that case, Eq.…”
Section: Steady Flowmentioning
confidence: 99%