Recent Development of Heat and Mass Transport in the Presence of Hall, Ion Slip and Thermo Diffusion in Radiative Second Grade Material: Application of Micromachines

V V L Deepthi; Maha M A Lashin; N Ravi Kumar; Kodi Raghunath; Farhan Ali; Mowffaq Oreijah; Kamel Guedri; El Sayed Mohamed Tag-ElDin; M Ijaz Khan; Ahmed M Galal

doi:10.3390/mi13101566

Recent Development of Heat and Mass Transport in the Presence of Hall, Ion Slip and Thermo Diffusion in Radiative Second Grade Material: Application of Micromachines

Micromachines (Basel). 2022 Sep 21;13(10):1566. doi: 10.3390/mi13101566.

Authors

V V L Deepthi¹, Maha M A Lashin², N Ravi Kumar³, Kodi Raghunath⁴, Farhan Ali⁵, Mowffaq Oreijah⁶, Kamel Guedri^{6

7}, El Sayed Mohamed Tag-ElDin⁸, M Ijaz Khan⁹, Ahmed M Galal^{10

11}

Affiliations

¹ Department of Mathematics, CVR College of Engineering, Hyderabad 500039, India.
² College of Engineering, Princess Nourah Bint Abdulrahman University, Riyadh 84428, Saudi Arabia.
³ Department of Mathematics, Malla Reddy Engineering College (Autonomous), Medchal 500100, India.
⁴ Department of Humanities and Sciences, Bheema Institute of Technology and Science, Adoni 518301, India.
⁵ Department of Mathematical Sciences, Federal Urdu University of Arts, Sciences & Technology, Gulshan-e-Iqbal Karachi 75300, Pakistan.
⁶ Mechanical Engineering Department, College of Engineering and Islamic Architecture, Umm Al-Qura University, Makkah 21955, Saudi Arabia.
⁷ Research Unity: Materials, Energy and Renewable Energies, Faculty of Science of Gafsa, University of Gafsa, Gafsa 2100, Tunisia.
⁸ Faculty of Engineering and Technology, Future University in Egypt, New Cairo 11835, Egypt.
⁹ Department of Mechanical Engineering, American Lebanese University, Beirut 1102, Lebanon.
¹⁰ Mechanical Engineering Department, College of Engineering, Prince Sattam Bin Abdulaziz University, Wadi Addawaser 11991, Saudi Arabia.
¹¹ Production Engineering and Mechanical Design Department, Faculty of Engineering, Mansoura University, Mansoura 35516, Egypt.

Abstract

This article describes the incompressible two-dimensional heat and mass transfer of an electrically conducting second-grade fluid flow in a porous medium with Hall and ion slip effects, diffusion thermal effects, and radiation absorption effects. It is assumed that the fluid is a gray, absorbing-emitting but non-scattering medium and the Rosseland approximation is used to describe the radiative heat flux in the energy equation. It is assumed that the liquid is opaque and absorbs and emits radiation in a manner that does not result in scattering. It is considered an unsteady laminar MHD convective rotating flow of heat-producing or absorbing second-grade fluid across a semi-infinite vertical moving permeable surface. The profiles of velocity components, temperature distribution, and concentration are studied to apply the regular perturbation technique. These profiles are shown as graphs for various fluid and geometric parameters such as Hall and ion slip parameters, radiation absorption, diffusion thermo, Prandtl number, Schmidt number, and chemical reaction rate. On the other hand, the skin friction coefficient and the Nusselt number are determined by numerical evaluation and provided in tables. These tables are then analysed and debated for various values of the flow parameters that regulate it. It may be deduced that an increase in the parameters of radiation absorption, Hall, and ion slip over the fluid region increases the velocity produced. The resulting momentum continually grows to a very high level, with contributions from the thermal and solutal buoyancy forces. The temperature distribution may be more concentrated by raising both the heat source parameter and the quantity of radiation. When one of the parameters for the chemical reaction is increased, the whole fluid area will experience a fall in concentration. Skin friction may be decreased by manipulating the rotation parameter, but the Hall effect and ion slip effect can worsen it. When the parameter for the chemical reaction increases, there is a concomitant rise in the mass transfer rate.

Keywords: Hall and ion slip effects; diffusion thermo effect; porous media; radiation absorption.

Grants and funding

The authors would like to thank the Deanship of Scientific Research at Umm Al-Qura University for supporting this work by Grant Code: 22UQU4331317DSR85. The authors express their gratitude to Princess Nourah bint Abdulrahman University Researchers Supporting Project (Grant No. PNURSP2022R152), Princess Nourah bint Abdulrahman University, Riyadh, Saudi Arabia.