Application of decomposition method and inverse prediction of parameters in a moving fin

• Published in: Energy conversion and management 2014-08, Vol.84, p.268-281
• Main Authors: Singla, Rohit K., Das, Ranjan
• Format: Article
• Language: English
• Subjects: ADM; Applied sciences; Decomposition; Energy; Error analysis; Exact sciences and technology; Genetic algorithms; Inverse; Mathematical analysis; Mathematical models; Moving fin; Temperature distribution; Thermal conductivity; Variable conductivity
• ISSN: 0196-8904; 1879-2227
• DOI: 10.1016/j.enconman.2014.04.045

•Adomian decomposition is used to study a moving fin.•Effects of different parameters on the temperature and efficiency are studied.•Binary-coded GA is used to solve an inverse problem.•Sensitivity analyses of important parameters are carried out.•Measurement error up to 8% is found to be tolerable. The application of the Adomian decomposition method (ADM) is extended to study a conductive–convective and radiating moving fin having variable thermal conductivity. Next, through an inverse approach, ADM in conjunction with a binary-coded genetic algorithm (GA) is also applied for estimation of unknown properties in order to satisfy a given temperature distribution. ADM being one of the widely-used numerical methods for solving non-linear equations, the required temperature field has been obtained using a forward method involving ADM. In the forward problem, the temperature field and efficiency are investigated for various parameters such as convection–conduction parameter, radiation–conduction parameter, Peclet number, convection sink temperature, radiation sink temperature, and dimensionless thermal conductivity. Additionally, in the inverse problem, the effect of random measurement errors, iterative variation of parameters, sensitivity coefficients of unknown parameters are investigated. The performance of GA is compared with few other optimization methods as well as with different temperature measurement points. It is found from the present study that the results obtained from ADM are in good agreement with the results of the differential transformation method available in the literature. It is also observed that for satisfactory reconstruction of the temperature field, the measurement error should be within 8% and the temperature field is strongly dependent on the speed than thermal parameters of the moving fin.