Advances in Mathematical Physics

Fractional Modelling of Transport Problems in Fluid Mechanics and Heat-mass Transfer


Publishing date
01 Oct 2021
Status
Closed
Submission deadline
28 May 2021

Lead Editor

1Fırat University, Elazig, Turkey

2Abou Bekr Belkaid University, Tlemcen, Algeria

3National Institute of Technology, Jamshedpur, Jharkhand, India

This issue is now closed for submissions.
More articles will be published in the near future.

Fractional Modelling of Transport Problems in Fluid Mechanics and Heat-mass Transfer

This issue is now closed for submissions.
More articles will be published in the near future.

Description

Fluid mechanics covers almost all research areas of the natural and engineering world. Therefore, the topic is interesting to engineers, mathematicians, physicists, and biologists. Fluid mechanics can be studied in biological cell flow, technological processes, natural flows (e.g., seas and rivers) and convective flow in stars.

The methods to model transport problems involving fluid flow with heat and mass transfer have evolved over time. Initially, the methods were mostly mathematical, hoping to solve real-world problems. Recently, fractional calculus plays an important role in the fields of mathematics, physics, electronics, mechanics, and engineering. Many operations in physics and engineering can be defined accurately by using systems of differential equations containing different types of fractional derivatives. Therefore, there is a need to further explore the use of fractional calculus in fluids mechanics and heat-mass transfer.

The aim of this Special Issue is to collect original research articles and review articles reporting the latest progress in modelling transport phenomena. Submissions involving fluid mechanics and heat-mass transfer with fractional derivatives involving newly conceived fractional operators are highly encouraged. Researchers working within the field of theory, methods, and application of these problems are welcome to submit their latest findings in this Special Issue.

Potential topics include but are not limited to the following:

  • Application of fractional calculus in fluid mechanical modelling
  • Fractional derivative applications (e.g., constitutive equations and physical basis)
  • Heat transfer, diffusion, and chemical processes
  • Numerical methods
  • Analytical methods
  • Iterative methods
  • Processes in thermal engineering
  • Plasma diffusion

Articles

  • Special Issue
  • - Volume 2021
  • - Article ID 5571796
  • - Research Article

Statistical Study of the Entanglement for Qubit Interacting with an Electromagnetic Field

Neveen Sayed-Ahmed | M. M. Amein | ... | J. Bouslimi
  • Special Issue
  • - Volume 2021
  • - Article ID 9259967
  • - Research Article

On Fractional Diffusion Equation with Caputo-Fabrizio Derivative and Memory Term

Binh Duy Ho | Van Kim Ho Thi | ... | Phuong Nguyen
  • Special Issue
  • - Volume 2021
  • - Article ID 1867824
  • - Research Article

Numerical and Analytical Investigation for Darcy-Forchheimer Flow of a Williamson Fluid over a Riga Plate with Double Stratification and Cattaneo-Christov Dual Flux

S. Eswaramoorthi | Nazek Alessa | ... | Ngawang Namgyel
  • Special Issue
  • - Volume 2021
  • - Article ID 9915183
  • - Research Article

Natural Transform along with HPM Technique for Solving Fractional ADE

N. Pareek | A. Gupta | ... | D. L. Suthar
  • Special Issue
  • - Volume 2021
  • - Article ID 9950993
  • - Research Article

MHD Williamson Nanofluid Flow over a Stretching Sheet through a Porous Medium under Effects of Joule Heating, Nonlinear Thermal Radiation, Heat Generation/Absorption, and Chemical Reaction

J. Bouslimi | M. Omri | ... | M. S. Soliman
  • Special Issue
  • - Volume 2021
  • - Article ID 9914134
  • - Research Article

Zero and Nonzero Mass Flux Effects of Bioconvective Viscoelastic Nanofluid over a 3D Riga Surface with the Swimming of Gyrotactic Microorganisms

T. S. Karthik | K. Loganathan | ... | Safak Kayikci
  • Special Issue
  • - Volume 2021
  • - Article ID 7930128
  • - Research Article

Iterative Construction of Fixed Points for Operators Endowed with Condition in Metric Spaces

Junaid Ahmad | Kifayat Ullah | ... | Manuel de la Sen
  • Special Issue
  • - Volume 2021
  • - Article ID 6880435
  • - Research Article

Remarks on the Systems of Semilinear Fractional Rayleigh-Stokes Equation

Le Dinh Long
  • Special Issue
  • - Volume 2021
  • - Article ID 6370636
  • - Research Article

Existence for Time-Fractional Semilinear Diffusion Equation on the Sphere

N. D. Phuong | Ho Duy Binh | ... | Le Dinh Long
  • Special Issue
  • - Volume 2021
  • - Article ID 5225019
  • - Research Article

A Numerical Algorithm Applied to Free Convection Flows of the Casson Fluid along with Heat and Mass Transfer Described by the Caputo Derivative

Ndolane Sene
Advances in Mathematical Physics
 Journal metrics
Acceptance rate24%
Submission to final decision37 days
Acceptance to publication39 days
CiteScore1.500
Journal Citation Indicator0.550
Impact Factor1.128
 Submit

Article of the Year Award: Outstanding research contributions of 2020, as selected by our Chief Editors. Read the winning articles.