Analysis of the Effects of Time Periods and Fractal Patterns on Heat Flow in Porous Materials Article Swipe
A.M. Al Khulayf
,
A.N. Abd-Alla
,
FA Alshehri
,
A Alasmari
,
A. Ismail
,
A. A. Kilany
·
YOU?
·
· 2026
· Open Access
·
· DOI: https://doi.org/10.22055/jacm.2025.48309.5135
YOU?
·
· 2026
· Open Access
·
· DOI: https://doi.org/10.22055/jacm.2025.48309.5135
The proposed mathematical model applies non-integer derivative orders to study how porosity influences a generalized thermoelastic medium while utilizing improved multi-phase delays framework. The system consists of a porous homogenous isotropic domain where the volume percent shows two-dimensional variations. The modified couple stress theory enables transformation of controlling differential equations into ordinary differential equations. Declining to the normal mode approach allows analysis of these equations' mathematical solutions. The calculation of precise solutions for displacement, temperature change, shear and perpendicular loads and volume fraction parameter depends on harmonic wave analysis. The research outcomes present graphical illustrations which present the influence of complex derivative orders together with material porosity levels. The paper demonstrates how models that use fractal differentiation differ from standard models through comparison studies. The research findings enhance thermoelastic behavior understanding in porous media while facilitating the creation of improved performance materials. The study provides significant ramifications for materials science and offers solutions to multi-physics problems as well as enables the development of high-precision industrial technologies.
Related Topics
Concepts
Thermoelastic damping
Porous medium
Porosity
Fractal
Mechanics
Materials science
Isotropy
Volume fraction
Poromechanics
Mathematical analysis
Fractional calculus
Fractal dimension
Ordinary differential equation
Perpendicular
Differential equation
Mathematics
Volume (thermodynamics)
Mathematical model
Partial differential equation
Flow (mathematics)
Transformation (genetics)
Material properties
Thermal conduction
Time derivative
Heat equation
Fractional factorial design
Thermodynamics
Superposition principle
Heat transfer
Heat flow
Metadata
- Type
- article
- Language
- en
- Landing Page
- https://doaj.org/article/b4f0447a43734617acae5647b0c7b861
- OA Status
- green
- OpenAlex ID
- https://openalex.org/W7105754214
All OpenAlex metadata
Raw OpenAlex JSON
- OpenAlex ID
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https://openalex.org/W7105754214Canonical identifier for this work in OpenAlex
- DOI
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https://doi.org/10.22055/jacm.2025.48309.5135Digital Object Identifier
- Title
-
Analysis of the Effects of Time Periods and Fractal Patterns on Heat Flow in Porous MaterialsWork title
- Type
-
articleOpenAlex work type
- Language
-
enPrimary language
- Publication year
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2026Year of publication
- Publication date
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2026-01-01Full publication date if available
- Authors
-
A.M. Al Khulayf, A.N. Abd-Alla, FA Alshehri, A Alasmari, A. Ismail, A. A. KilanyList of authors in order
- Landing page
-
https://doaj.org/article/b4f0447a43734617acae5647b0c7b861Publisher landing page
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YesWhether a free full text is available
- OA status
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greenOpen access status per OpenAlex
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https://doaj.org/article/b4f0447a43734617acae5647b0c7b861Direct OA link when available
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Thermoelastic damping, Porous medium, Porosity, Fractal, Mechanics, Materials science, Isotropy, Volume fraction, Poromechanics, Mathematical analysis, Fractional calculus, Fractal dimension, Ordinary differential equation, Perpendicular, Differential equation, Mathematics, Volume (thermodynamics), Mathematical model, Partial differential equation, Flow (mathematics), Transformation (genetics), Material properties, Thermal conduction, Time derivative, Heat equation, Fractional factorial design, Thermodynamics, Superposition principle, Heat transfer, Heat flowTop concepts (fields/topics) attached by OpenAlex
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