Nonlocal fiber-reinforced double porous material structure under fractional-order heat and mass transfer
International Journal of Numerical Methods for Heat & Fluid Flow
ISSN: 0961-5539
Article publication date: 24 July 2023
Issue publication date: 31 October 2023
Abstract
Purpose
The purpose of this study is to analyze the thermo-diffusion process in a semi-infinite nonlocal fiber-reinforced double porous thermoelastic diffusive material with voids (FRDPTDMWV) in light of the fractional-order Lord–Shulman thermo-elasto-diffusion (LSTED) model. By virtue of Eringen’s nonlocal elasticity theory, the governing equations for the considered material are developed. The free surface of the substrate is governed by the inclined mechanical load and thermal and chemical shocks.
Design/methodology/approach
With the aid of the normal mode technique, the solutions of the nondimensional coupled governing equations have been obtained.
Findings
The expressions of field variables are obtained analytically. By using MATHEMATICA software, various graphical implementations are presented to describe the impacts of angle of inclination, fractional-order and nonlocality parameters. The present model is also validated on the basis of some comparative studies with some preestablished cases.
Originality/value
As observed from the literature survey, many different studies have been carried out by taking into account the deformation analysis in nonlocal double porous thermoelastic material structures and thermo-mechanical interaction in fiber-reinforced medium under fractional-order thermoelasticity theories. However, to the best of the authors’ knowledge, no research emphasizing the thermo-elasto-diffusive interactions in a nonlocal FRDPTDMWV has been carried out. Moreover, the effect of fractional-order LSTED theory on fiber-reinforced thermoelastic diffusive half-space with double porosity has not been illuminated till now, which significantly defines the novelty of the conducted research.
Keywords
Acknowledgements
The authors are sincerely grateful to Amrita Vishwa Vidyapeetham, Mysuru, Karnataka, India, for providing great opportunity, guidance, best facilities and equipment.
Citation
Dutta, R., Das, S., Gupta, S., Singh, A. and Chaudhary, H. (2023), "Nonlocal fiber-reinforced double porous material structure under fractional-order heat and mass transfer", International Journal of Numerical Methods for Heat & Fluid Flow, Vol. 33 No. 11, pp. 3608-3641. https://doi.org/10.1108/HFF-05-2023-0295
Publisher
:Emerald Publishing Limited
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