DOUBLE ASYMPTOTIC EXPANSION IN THE PROBLEM OF RADIATION HEAT EXCHANGE OF ANNULAR FINS OF TRAPEZOIDAL SHAPE

摘要

We propose a method of double asymptotic expansion of an approximate analytic solution of the problem on thermal irradiation of annular radiator fins with a trapezoidal cross-section, which is reduced to a nonlinear differential equation of the second order with variable coefficients. The method is based on using the Poincare' small parameter method and method of phase integrals.