Inverse problem of estimating the heat flux at the roller/workpiece interface during a rolling process

Geometry estimation for the inner surface in a furnace wall made of functionally graded materials

“…The computational mesh in this study is 35 × 90 mesh respectively in the η-and ϕ-direction as shown in Fig. 2, which is fine enough to secure a grid-independent solution [24]. In this mesh, cells have been distributed non-uniformly to enhance numerical resolution.…”

Estimation of operating parameters of a reheat regenerative power cycle using simplex search and differential evolution based inverse methods

“…Inverse analysis is however computationally expensive and mathematically more complicated compared to its forward counterpart due to ill posed and iterative nature of the problem [14][15][16] and many a times multiple combinations of parameters are obtained that satisfy the same given reference output. This is one of the unique features of inverse analysis due to which it has become very popular and successfully applied in many engineering problems in the last decade [17][18][19][20][21][22][23][24][25][26][27][28]. Various methods such as conjugate gradient method, steepest descent method, linear least-squares error method, golden section technique, genetic algorithm and DE are used in the inverse analysis.…”

Assessment of the Rolling Speed of a Multi-cell Mill for Metal Sheet Hot Rolling

“…For that purpose we solve the coupled thermo-mechanical problem of hot sheet rolling in Cell 1, as specified above. We employ the licensed FEM software MARC, using 4-node isoparametric finite elements with three degrees of freedom which account for displacements along axes x and y and temperature [ 1,14 ]. Then, we find from Fig.…”

“…It should be solved specifying thermal initial and boundary conditions regarding the deformation area ABCD in Fig. 1 (see [ 5,13,14 ] for more details). Initial conditions.…”