Response surface methodology on optimizing heat transfer rate for the free convection of micro-structured fluid through permeable shrinking surface

The current research is intended to optimize the heat transfer rate for the free convective flow of micropolar fluid past a permeable shrinking surface. The electrically conducting fluid due to the interaction of the applied magnetic field through porous medium enhances the study. Further, the consi...

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Bibliographic Details
Published in:European physical journal plus 2024-03, Vol.139 (3), p.221, Article 221
Main Authors: Pattnaik, P. K., Mishra, S. R., Panda, Subhajit
Format: Article
Language:English
Subjects:
Applied and Technical Physics
Atomic
Chemical reactions
Complex Systems
Condensed Matter Physics
Conducting fluids
Convective flow
Drug delivery systems
Finite element analysis
Finite element method
Fluids
Free convection
Geophysics
Heat transfer
Investigations
Magnetic fields
Mathematical and Computational Physics
Methods
Micropolar fluids
Molecular
Optical and Plasma Physics
Optimization
Physics
Physics and Astronomy
Porosity
Porous media
Radiation
Regression analysis
Regular Article
Response surface methodology
Reynolds number
Software
Statistical analysis
Theoretical
Thermal radiation
Variance analysis
Viscosity
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Summary:The current research is intended to optimize the heat transfer rate for the free convective flow of micropolar fluid past a permeable shrinking surface. The electrically conducting fluid due to the interaction of the applied magnetic field through porous medium enhances the study. Further, the consideration of the dissipative heat as well as thermal radiation encourages the phenomena greatly. The transformed governing equations that are obtained with the help of the proposed similarity transformation are solved numerically using the finite element method (FEM). The analysis of several characterizing parameters is presented graphically. The novelty of the proposed work arises due to the implementation of a new statistical technique known as the response surface method (RSM) that is used to estimate the optimized heat transfer rate. Moreover, regression analysis is carried out for the proposed data of heat transfer rate by adopting analysis of variance (ANOVA). The comparative analysis with the earlier investigation shows a good correlation that validates the current result. Finally, the important outcomes are: the non-Newtonian material constraint enriches the fluid velocity, whereas the resistive forces for the inclusion of the magnetic field along with porosity attenuate it significantly.
ISSN:2190-5444
2190-5444
DOI:10.1140/epjp/s13360-024-05001-9