Stationary boundary value problems of heat conduction in semi-infinite wedge-shaped cylindrical circular domains (Q2753514)

Stationary temperature fields in homogeneous semi-infinite orthotropic solid occupying the domain \(R_0\leq r<R\), \(0\leq \varphi\leq \varphi_0<2\pi\), \(0\leq z\leq \infty\) are studied. The following domains are considered: (i) infinite wedge \(R_0=0\), \(R=\infty\); (ii) infinite cut wedge \(R_0>0\), \(R=\infty\); (iii) finite wedge \(R_0=0\), \(R<\infty\); (iv) finite cut wedge \(R_0>0\), \(R<\infty\). Different variants of boundary conditions are considered. Solutions of problems for the four domains are obtained by the method of Green's functions and making use of the corresponding integral transforms (Fourier, Fourier-Bessel, Weber, Hankel of the first and the second kind).