Computation of Thermal Radiative Flux from a Porous Medium by Using Fractal?Fractional Operator

Fractal?fractional derivative has numerous significance in real world problems. The main goal of this derivative is the use of memory effects to formulate the model. Due to extensive applications of fractional derivatives, in the present article fractional order model of Brinkman fluid has been anal...

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Main Authors: Garalleh H.A.L., Ramzan M., Shafique A., Abbas S., Nazar M., Jan R.
Other Authors: 55762385300
Format: Article
Published: Springer 2025
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spelling my.uniten.dspace-361442025-03-03T15:41:26Z Computation of Thermal Radiative Flux from a Porous Medium by Using Fractal?Fractional Operator Garalleh H.A.L. Ramzan M. Shafique A. Abbas S. Nazar M. Jan R. 55762385300 57226590668 57729395800 58032080600 23975133600 57205596279 Fractal?fractional derivative has numerous significance in real world problems. The main goal of this derivative is the use of memory effects to formulate the model. Due to extensive applications of fractional derivatives, in the present article fractional order model of Brinkman fluid has been analyzed. The governing equations of the present flow model are solved numerically by using Cranck-Nicolson method to obtain the solutions for mass, energy, and momentum equations. In additions the physical aspects of material and flow parameters like as Prandtl number, magnetic force, Schmidt number, Grashof thermal number, Grashof mass number, especially the fractional operators are studied by drawing the graphs of field of interest. ? The Author(s), under exclusive licence to Springer Nature India Private Limited 2024. Final 2025-03-03T07:41:26Z 2025-03-03T07:41:26Z 2024 Article 10.1007/s40819-024-01790-w 2-s2.0-85206393414 https://www.scopus.com/inward/record.uri?eid=2-s2.0-85206393414&doi=10.1007%2fs40819-024-01790-w&partnerID=40&md5=de714b04a09677c214521f48b5db4733 https://irepository.uniten.edu.my/handle/123456789/36144 10 6 160 Springer Scopus
institution Universiti Tenaga Nasional
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country Malaysia
content_provider Universiti Tenaga Nasional
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description Fractal?fractional derivative has numerous significance in real world problems. The main goal of this derivative is the use of memory effects to formulate the model. Due to extensive applications of fractional derivatives, in the present article fractional order model of Brinkman fluid has been analyzed. The governing equations of the present flow model are solved numerically by using Cranck-Nicolson method to obtain the solutions for mass, energy, and momentum equations. In additions the physical aspects of material and flow parameters like as Prandtl number, magnetic force, Schmidt number, Grashof thermal number, Grashof mass number, especially the fractional operators are studied by drawing the graphs of field of interest. ? The Author(s), under exclusive licence to Springer Nature India Private Limited 2024.
author2 55762385300
author_facet 55762385300
Garalleh H.A.L.
Ramzan M.
Shafique A.
Abbas S.
Nazar M.
Jan R.
format Article
author Garalleh H.A.L.
Ramzan M.
Shafique A.
Abbas S.
Nazar M.
Jan R.
spellingShingle Garalleh H.A.L.
Ramzan M.
Shafique A.
Abbas S.
Nazar M.
Jan R.
Computation of Thermal Radiative Flux from a Porous Medium by Using Fractal?Fractional Operator
author_sort Garalleh H.A.L.
title Computation of Thermal Radiative Flux from a Porous Medium by Using Fractal?Fractional Operator
title_short Computation of Thermal Radiative Flux from a Porous Medium by Using Fractal?Fractional Operator
title_full Computation of Thermal Radiative Flux from a Porous Medium by Using Fractal?Fractional Operator
title_fullStr Computation of Thermal Radiative Flux from a Porous Medium by Using Fractal?Fractional Operator
title_full_unstemmed Computation of Thermal Radiative Flux from a Porous Medium by Using Fractal?Fractional Operator
title_sort computation of thermal radiative flux from a porous medium by using fractal?fractional operator
publisher Springer
publishDate 2025
_version_ 1825816263633403904
score 13.244413