Estimation of Transient Boundary Heat Flux Using Modified JAYA …
337
Fig. 3 Simple JAYA algorithm
where ε is small number. For this work, ε is taken as 10
–6 . If Eq. 2.9 is satisfied, then
the code moves further in the algorithm.
Number of iterations is another criterion for the JAYA and multi-population-based
JAYA algorithm. If Eq. 2.9 does not satisfy and the code exceeds 100 iterations, then
algorithm moves to further steps.
3 Results and Discussion
For numerical analysis, the grid size of 51 elements in x-direction and 101 elements
in y-direction and temporal grid size of 20 elements are used. Four different heat
flux profiles are selected to verify whether the algorithm is universal for considered
problem or not. For study, population size of 20 (i.e., P = 20) with 20 time steps (i.e.,
n = 20) are considered, where only one sensor is used at the position X m = 0.5 m
and Y m = 0.005 m. The range of heat flux is considered as 0 W/m
2 to 10,000 W/m
2 .
To check the accuracy of the estimated values of heat flux, RMS error is calculated
by following formula:
337
Fig. 3 Simple JAYA algorithm
where ε is small number. For this work, ε is taken as 10
–6 . If Eq. 2.9 is satisfied, then
the code moves further in the algorithm.
Number of iterations is another criterion for the JAYA and multi-population-based
JAYA algorithm. If Eq. 2.9 does not satisfy and the code exceeds 100 iterations, then
algorithm moves to further steps.
3 Results and Discussion
For numerical analysis, the grid size of 51 elements in x-direction and 101 elements
in y-direction and temporal grid size of 20 elements are used. Four different heat
flux profiles are selected to verify whether the algorithm is universal for considered
problem or not. For study, population size of 20 (i.e., P = 20) with 20 time steps (i.e.,
n = 20) are considered, where only one sensor is used at the position X m = 0.5 m
and Y m = 0.005 m. The range of heat flux is considered as 0 W/m
2 to 10,000 W/m
2 .
To check the accuracy of the estimated values of heat flux, RMS error is calculated
by following formula: