Optimization procedure for multilayer heat transfer in nanoliquid with Joule heating using response surface methodology

Title

Optimization procedure for multilayer heat transfer in nanoliquid with Joule heating using response surface methodology

Creator

Myson, Shruthy

Description

In this chapter, magnetohydrodynamic flow (MHD) and heat transfer in a multilayer vertical channel are studied with one phase containing pure water and the other phase containing oil-based Cu nanofluid. The effects of viscous dissipation and Joule heating are included in the energy equation. The modeled equations are coupled and nonlinear; they are solved using the regular perturbation method (RPM) and the differential transform method (DTM). The analysis examines the impact of the Hartmann number, thermal Grashof number, nanoparticle volume fraction (NVF), and Brinkman number on the Nusselt number, velocity, and temperature distributions. Furthermore, an optimization of the Nusselt number is performed for three different levels of the Hartmann number (5?M?6), the Brinkman number (0.1?Br?0.3), and the NVF (1%???3%) using the Response Surface Methodology (RSM). The Hartmann number and NVF were found to suppress flow, while the thermal Grashof number and the Brinkman number increase the flow field. Sensitivity computations reveal that the Nusselt number on the left wall is more sensitive to the Hartmann number and the NVF, while the Nusselt number of the right wall is more sensitive to the Brinkman number and NVF. 2025 Elsevier Inc. All rights are reserved, including those for text and data mining, AI training, and similar technologies.

Source

Methods of Mathematical Modeling: Advances and Applications;pp.103-134

Date

01-01-2025

Publisher

Elsevier

Subject

Differential transform method; Heat transfer; Multilayer flow; Nanofluid; Response surface methodology; Sensitivity analysis

Coverage

Myson S., Center for Mathematical Needs, Department of Mathematics, CHRIST (Deemed to be University), Karnataka, Bengaluru, India

Rights

Restricted Access; Hardcopy may be available in the library

Relation

ISBN: 978-044313317-6; 978-044313316-9;

Format

online

Language

English

Type

Book chapter

Identifier

https://doi.org/10.1016/B978-0-44-313317-6.00010-X

https://www.scopus.com/pages/publications/105019743830?origin=resultslist