Isıl parametreleri sıcaklıkla değişen dikdörtgen kesitli düz bir kanadın optimum tasarımı

Bu çalışmada, dip sıcaklığı sabit olan, simetrik olmayan ısı taşınım katsayılarına sahip ve ısı iletim katsayısı sıcaklıkla değişen dikdörtgen kesitli bir kanat göz önüne alınmıştır. Doğrusal olmayan iki boyutlu ısı yayınım denklemini doğrusal bir denkleme dönüştürmek için, Kirchhoff dönüşümü kullanılmıştır. Elde edilen doğrusal kısmi diferansiyel denklem, değişkenlerin ayrımı yöntemi ile analitik olarak çözülmüştür. Kanattan çevreye olan ısı geçişini maksimum yapan optimum kanat geometrisi, doğrusal olmayan optimizasyon problemini çözen IMSL NCONF FORTRAN kodu kullanılarak bulunmuştur.

Optimum design of a rectangular fin with temperature-dependent thermal parameters

In the present work, rectangular fins with constant base temperature, non-symmetric heat transfer coefficients and temperature-dependent thermal conductivity have been considered. In order to transform non-linear two-dimensional heat diffusion equation into a linear equation, the Kirchhoff transformation has been used. Resulting linear partial differantial equation has been solved analytically by using the separation of variables method. The optimum geometry which maximizes the heat transfer rate has been found employing NCONF routine in the IMSL Library.

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