Author
Listed:
- SAQIB MURTAZA
(Department of Mathematics, Faculty of Science, King Mongkut’s University of Technology Thonburi (KMUTT), 126 Pracha Uthit Rd., Bang Mod, Thung Khru, Bangkok 10140, Thailand)
- ZUBAIR AHMAD
(��Department of Mathematics and Physics, University of Campania “Luigi Vanvitelli†, Caserta 81100, Italy‡Novel Global Community Educational Foundation, Australia)
- M. DAHER ALBALWI
(�Yanbu Industrial College, The Royal Commission for Jubail and Yanbu, Riyadh 30436, Saudi Arabia)
- Z. AKHTAR
(�Division of Science and Technology, University of Education, Township, Lahore 54590, Pakistan)
- MUHAMMAD ASAD KHAN
(��Department of Mathematics and Physics, University of Campania “Luigi Vanvitelli†, Caserta 81100, Italy)
- HIJAZ AHMAD
(��Department of Mathematics, Faculty of Science, Islamic University of Madinah, Madinah 42351, Saudi Arabia**Near East University, Operational Research Center in Healthcare, TRNC Mersin 10, Nicosia 99138, Turkey††Department of Computer Science and Mathematics, Lebanese American University, Beirut, Lebanon)
- DUMITRU BALEANU
(��†Department of Computer Science and Mathematics, Lebanese American University, Beirut, Lebanon‡‡Institute of Space Sciences, R76900 Magurele-Bucharest, Romania§§Department of Medical Research, China Medical University, Taichung 40402, Taiwan)
Abstract
This paper proposes a new method for the development of the Caputo time fractional model. The method relies on generalized Fourier’s and Fick’ laws to describe the flow behavior of Brinkman-type fluids. An analysis of the free convection flow through a channel is carried out using a new transformation method. This transformation affects fluid energy and concentration equations. The specific governing equations are solved using a Laplace transform and Fourier sine transform. We obtain the solutions of the governing partial differential equations (PDEs) in terms of the Mittag–Leffler function. Mathematical software has been used for both graphical and numerical computation in order to examine the effects of embedded parameters. From graphical and tabular analysis, fractional-order solution provides more than one layer for fluid behavior, thermal, and concentration distribution in the channel. Experimentalists and engineers can choose from many best-fitted layers to compare their data and results. A deviation in the velocity profile’s behavior is also seen for larger values of the Brinkman parameter.
Suggested Citation
Saqib Murtaza & Zubair Ahmad & M. Daher Albalwi & Z. Akhtar & Muhammad Asad Khan & Hijaz Ahmad & Dumitru Baleanu, 2023.
"Caputo Time Fractional Model Based On Generalized Fourier’S And Fick’S Laws For Brinkman-Type Fluid: Exact Solution Via Integral Transform,"
FRACTALS (fractals), World Scientific Publishing Co. Pte. Ltd., vol. 31(10), pages 1-16.
Handle:
RePEc:wsi:fracta:v:31:y:2023:i:10:n:s0218348x23401631
DOI: 10.1142/S0218348X23401631
Download full text from publisher
As the access to this document is restricted, you may want to search for a different version of it.
Corrections
All material on this site has been provided by the respective publishers and authors. You can help correct errors and omissions. When requesting a correction, please mention this item's handle: RePEc:wsi:fracta:v:31:y:2023:i:10:n:s0218348x23401631. See general information about how to correct material in RePEc.
If you have authored this item and are not yet registered with RePEc, we encourage you to do it here. This allows to link your profile to this item. It also allows you to accept potential citations to this item that we are uncertain about.
We have no bibliographic references for this item. You can help adding them by using this form .
If you know of missing items citing this one, you can help us creating those links by adding the relevant references in the same way as above, for each refering item. If you are a registered author of this item, you may also want to check the "citations" tab in your RePEc Author Service profile, as there may be some citations waiting for confirmation.
For technical questions regarding this item, or to correct its authors, title, abstract, bibliographic or download information, contact: Tai Tone Lim (email available below). General contact details of provider: https://www.worldscientific.com/worldscinet/fractals .
Please note that corrections may take a couple of weeks to filter through
the various RePEc services.