Estimation of Transient Boundary Heat
Flux Using Modified JAYA Algorithm
in Laminar Duct Flow
Ravi Prajapati, Viral Thakkar, Sanil Shah, and Ajit Kumar Parwani
Abstract The major focus of paper is estimation of heat flux varying with time for
two-dimensional forced convective laminar duct flow by using inverse heat transfer
technique. Simple JAYA and modified JAYA algorithms are used for solving the
inverse problem. JAYA is a newly developed algorithm with simple structure and does
not require any tuning parameters. Modified JAYA algorithm is a combination of two
algorithms where JAYA algorithm is coupled with multi-population JAYA algorithm.
In multi-population JAYA algorithm, total population is divided into groups. These
groups are used to estimate the required quantity. Solution of simple JAYA algorithm will be the input parameters for multi-population JAYA algorithm. Different
types of heat flux profiles like step profile, smooth profile, triangular profile and
linearly increasing profile are considered and performance of JAYA and modified
JAYA considered. Results show that modified JAYA algorithm is found to be more
accurate than JAYA.
Keywords Boundary heat flux · Laminar duct flow · Inverse problem · Modified
JAYA algorithm
1 Introduction
Designing of thermal systems require sound knowledge of boundary conditions like
boundary heat flux, heat transfer coefficient, etc., but sometimes, direct measurement
of boundary possible is not possible and hence inverse methods are used for this.
The objective of the inverse heat transfer problem (IHTP) is to predict one or more
unknown characteristics from the knowledge of the temperatures that are measured
at some distance from boundary. Inverse methods are used to determine boundary
R. Prajapati · V. Thakkar (B) · S. Shah · A. K. Parwani
Department of Mechanical and Aero-Space Engineering, Institute of Infrastructure Technology
Research and Management, Ahmedabad 380026, India
e-mail: viral.thakkar.16m@iitram.ac.in
A. K. Parwani
e-mail: ajitkumar.parwani@iitram.ac.in
© The Author(s), under exclusive license to Springer Nature Singapore Pte Ltd. 2021
A. K. Parwani et al. (eds.), Recent Advances in Mechanical Infrastructure,
Lecture Notes in Intelligent Transportation and Infrastructure,
https://doi.org/10.1007/978-981-33-4176-0_29
331
Flux Using Modified JAYA Algorithm
in Laminar Duct Flow
Ravi Prajapati, Viral Thakkar, Sanil Shah, and Ajit Kumar Parwani
Abstract The major focus of paper is estimation of heat flux varying with time for
two-dimensional forced convective laminar duct flow by using inverse heat transfer
technique. Simple JAYA and modified JAYA algorithms are used for solving the
inverse problem. JAYA is a newly developed algorithm with simple structure and does
not require any tuning parameters. Modified JAYA algorithm is a combination of two
algorithms where JAYA algorithm is coupled with multi-population JAYA algorithm.
In multi-population JAYA algorithm, total population is divided into groups. These
groups are used to estimate the required quantity. Solution of simple JAYA algorithm will be the input parameters for multi-population JAYA algorithm. Different
types of heat flux profiles like step profile, smooth profile, triangular profile and
linearly increasing profile are considered and performance of JAYA and modified
JAYA considered. Results show that modified JAYA algorithm is found to be more
accurate than JAYA.
Keywords Boundary heat flux · Laminar duct flow · Inverse problem · Modified
JAYA algorithm
1 Introduction
Designing of thermal systems require sound knowledge of boundary conditions like
boundary heat flux, heat transfer coefficient, etc., but sometimes, direct measurement
of boundary possible is not possible and hence inverse methods are used for this.
The objective of the inverse heat transfer problem (IHTP) is to predict one or more
unknown characteristics from the knowledge of the temperatures that are measured
at some distance from boundary. Inverse methods are used to determine boundary
R. Prajapati · V. Thakkar (B) · S. Shah · A. K. Parwani
Department of Mechanical and Aero-Space Engineering, Institute of Infrastructure Technology
Research and Management, Ahmedabad 380026, India
e-mail: viral.thakkar.16m@iitram.ac.in
A. K. Parwani
e-mail: ajitkumar.parwani@iitram.ac.in
© The Author(s), under exclusive license to Springer Nature Singapore Pte Ltd. 2021
A. K. Parwani et al. (eds.), Recent Advances in Mechanical Infrastructure,
Lecture Notes in Intelligent Transportation and Infrastructure,
https://doi.org/10.1007/978-981-33-4176-0_29
331
