Analysis for advection-diffusion problem subject to memory effects and local and nonlocal kernels: A fractional operators approach

被引：16

作者：

Ali, Qasim ^{[1
]}

Al-Khaled, Kamel ^{[2
]}

Omar, Jiyan ^{[3
]}

Raza, Ali ^{[1
]}

Khan, Sami Ullah ^{[4
]}

Khan, M. Ijaz ^{[5
,6
]}

Najati, S. A. ^{[7
]}

Oreijah, Mowffaq ^{[8
]}

Guedri, Kamel ^{[8
,9
]}

Galal, Ahmed M. ^{[10
,11
]}

机构：

[1] Univ Engn & Technol, Dept Math, Lahore, Pakistan

[2] Jordan Univ Sci & Technol, Dept Math & Stat, POB 3030, Irbid 22110, Jordan

[3] Knowledge Univ, Coll Sci, Med Microbiol Dept, Erbil, Iraq

[4] COMSATS Univ Islamabad, Dept Math, Sahiwal 57000, Pakistan

[5] Lebanese Amer Univ, Dept Mech Engn, POB 36, Beirut, Lebanon

[6] Riphah Int Univ I14, Dept Math & Stat, Islamabad 44000, Pakistan

[7] Taif Univ, Coll Sci, Dept Math, POB 11099, Taif 21944, Saudi Arabia

[8] Umm Al Qura Univ, Coll Engn & Islamic Architecture, Mech Engn Dept, POB 5555, Mecca 21955, Saudi Arabia

[9] Univ Gafsa, Res Unity Mat Energy & Renewable Energies, Fac Sci Gafsa, Gafsa 2100, Tunisia

[10] Prince Sattam bin Abdulaziz Univ, Coll Engn Wadi Alddawasir, Dept Mech Engn, Al Kharj, Saudi Arabia

[11] Mansoura Univ, Prod Engn & Mech Design Dept, Fac Engn, PO 35516, Mansoura 35516, Egypt

来源：

INTERNATIONAL JOURNAL OF MODERN PHYSICS B | 2023年 / 37卷 / 10期

关键词：

Advection diffusion; memory effects; fractional operators; local and nonlocal kernels; APPROXIMATE SOLUTION; VISCOUS-FLUID; EQUATIONS; CONVECTION; ALGORITHM; FLOW;

D O I：

10.1142/S0217979223500996

中图分类号：

O59 [应用物理学];

学科分类号：

摘要：

In this communication, a familiar physical phenomenon along with a time-dependent concentration source in a one-dimensional fractional differential advection-diffusion has been worked out. The problem is supported with the boundary with initial and boundary conditions. First of all, the results for the nondimensional classical advection-diffusion process are deliberated utilizing the Laplace coupled with finite sine-Fourier transforms analytically. Later on, the analysis is expanded for different fractional operators. The inspection of memory factors is presented through Mathcad. The impacts of the fractional (memory) parameter upon the solute concentration are discussed by making use of Mathcad15. A detailed physical significance of the fractional problem in view of the parameters is studied. It is noted that the decreasing change in concentration is associated with the larger values of noninteger parameter.

引用

页数：12

共 52 条

[1] Dynamism of a hybrid Casson nanofluid with laser radiation and chemical reaction through sinusoidal channels [J].