Numerical evaluation of thermal and diffusive processes in magnetically induced tangent hyperbolic fluid flow with Dufour and Soret effects in a rotating channel

Abstract

Rotating channel flows are an important part of scientific and engineering applications including microfluidic devices, rotating machinery, and energy-efficient thermal systems. Despite extensive research, the behavior of magnetized fluids, thermal-diffusive processes and rotational effects on non-Newtonian fluids has remained underexplored. This study investigates the flow of tangent hyperbolic fluid in a vertical rotating channel under the effects of magnetic field (Lorentz force), Coriolis force, Dufour and Soret effects. The governing nonlinear differential equations are solved using MATLAB’s bvp5c solver. Results show that increasing the Grashof number from 0.5 to 1.25 enhances primary velocity by 42% which is highly relevant in designing rotating heat exchangers where natural convection aids cooling efficiency, whereas a higher Hartmann number suppresses it by 22.10% due to magnetic damping, highlights how magnetic control can be employed in MHD pumps to regulate flow rates. A 4.46% decrease in temperature was observed with an enhanced Soret effect, indicating improved thermal regulation particularly beneficial in applications like thermal insulation systems and microelectronic cooling. The entropy generation increases by 2.39% with higher values of the pressure gradient parameter, indicating greater energy loss in pressure-driven microchannel flows often encountered in cooling systems and biomedical devices. The Bejan number, skin-friction coefficient, Nusselt number and Sherwood number behavior are also analyzed. The findings provide quantitative insights relevant to designing advanced cooling systems and chemical reactors.

Keywords

magnetohydrodynamic (MHD)tangent hyperbolic fluid rotating channel Dufour and Soret effects thermal and diffusive processes

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References

Hart

JE.

Instability and secondary motion in a rotating channel flow. J Fluid Mech 1971; 45: 341–351.

Ghosh

Anwar Bég

Narahari

Hall effects on MHD flow in a rotating system with heat transfer characteristics. Meccanica 2009; 44: 741–765.

Guchhait

Das

S N

Jana

Combined effect of hall current and rotation on MHDmixed convection oscillating flow in a rotating vertical channel. Int J Comput Appl 2012; 49: 1–11.

Hayat

Rafiq

Ahmad

Soret and Dufour effects on MHD peristaltic flow of Jeffrey fluid in a rotating system with porous medium. PLoS One 2016; 11: e0145525.

Siva

Kumbhakar

Jangili

, et al. Unsteady electro-osmotic flow of couple stress fluid in a rotating microchannel: an analytical solution. Phys Fluids 2020; 32: 102013.

Alzahrani

Abbas

Ullah

MZ.

Chemically reactive two-phase flow of viscous-Casson fluids in a rotating channel. Alex Eng J 2023; 62: 403–413.

Shi

Chen

, et al. The effect of dimple/protrusion arrangements on the comprehensive thermal performance of variable cross-section rotating channels for gas turbine blades. Int J Therm Sci 2024; 196: 108733.

Luikov

AV.

Application of irreversible thermodynamics methods to investigation of heat and mass transfer. Int J Heat Mass Transfer 1966; 9: 139–152.

Ahmed

Zueco

Modeling of heat and mass transfer in a rotating vertical porous channel with hall current. Chem Eng Commun 2011; 198: 1294–1308.

10.

Raza

Rohni

Omar

, et al. Heat and mass transfer analysis of MHD nanofluid flow in a rotating channel with slip effects. J Mol Liq 2016; 219: 703–708.

11.

Shilpa

Leela

Prasannakumara

, et al. Soret and Dufour effects on MHD double-diffusive mixed convective heat and mass transfer of couple stress fluid in a channel formed by electrically conducting and non-conducting walls. Waves Random Complex Media 2022; 1–22.

12.

Abbasi

Khan

Farooq

, et al. Peristaltic flow of chemically reactive Ellis fluid through an asymmetric channel: heat and mass transfer analysis. Ain Shams Eng J 2023; 14: 101832.

13.

Majeed

Mahmood

Shahzad

, et al. Heat and mass transfer characteristics in MHD Casson fluid flow over a cylinder in a wavy channel: higher-order FEM computations. Case Stud Therm Eng 2023; 42: 102730.

14.

Nadeem

Akram

Peristaltic transport of a hyperbolic tangent fluid model in an asymmetric channel. Zeitschrift für Naturforschung A 2009; 64: 559–567.

15.

Hayat

Qayyum

Ahmad

, et al. Radiative flow of a tangent hyperbolic fluid with convective conditions and chemical reaction. Eur Phys J Plus 2016; 131: 1–13.

16.

Sindhu

Gireesha

BJ.

Heat and mass transfer analysis of chemically reactive tangent hyperbolic fluid in a microchannel. Heat Transf 2021; 50: 1410–1427.

17.

Zhao

Khan

Chu

, et al. Entropy generation approach with heat and mass transfer in magnetohydrodynamic stagnation point flow of a tangent hyperbolic nanofluid. Appl Math Mech 2021; 42: 1205–1218.

18.

Soumya

Gireesha

Venkatesh

Tangent-hyperbolic nanoliquid flow in a microchannel, thermal and irreversibility rate analysis. Waves Random Complex Media 2022; 1–18.

19.

Shaheen

Huang

Arain

, et al. Concentration and thermal analysis of immiscible tangent hyperbolic fluid with distinct viscosity through horizontal asymmetric channel: theoretical and observational study. Case Stud Therm Eng 2023; 50: 103386.

20.

Makinde

Mhone

PY.

Heat transfer to MHD oscillatory flow in a channel filled with porous medium. Rom J Phys 2005; 50: 931.

21.

Sadeghy

Khabazi

Taghavi

SM.

Magnetohydrodynamic (MHD) flows of viscoelastic fluids in converging/diverging channels. Int J Eng Sci 2007; 45: 923–938.

22.

Kumar

Reddy

Goud

, et al. Effects of soret, dufour, hall current and rotation on MHD natural convective heat and mass transfer flow past an accelerated vertical plate through a porous medium. International Journal of Thermofluids 2021; 9: 100061.

23.

Anitha

Gireesha

BJ.

Convective flow of Jeffrey nanofluid along an upright microchannel with Hall current and buongiorno model: an irreversibility analysis. Appl Math Mech 2023; 44: 1613–1628.

24.

Harish

Ibrahim

Kumar

, et al. A study on effects of thermal radiative dissipative MHD non-Newtonian nanofluid above an elongating sheet in porous medium. J Appl Comput Mech 2023; 9: 945–954.

25.

Hayat

Mustafa

Pop

Heat and mass transfer for Soret and Dufour’s effect on mixed convection boundary layer flow over a stretching vertical surface in a porous medium filled with a viscoelastic fluid. Commun Nonlinear Sci Numer Simul 2010; 15: 1183–1196.

26.

Srinivasacharya

Upendar

Soret and Dofour effects on MHD free convection in a micropolar fluid. Afr Matematika 2014; 25: 693–705.

27.

Khan

Ahmed

Mohyud-Din

ST.

Soret and Dufour effects on flow in converging and diverging channels with chemical reaction. Aerosp Sci Technol 2016; 49: 135–143.

28.

Vijayaragavan

Ramesh

Karthikeyan

Heat and mass transfer investigation on MHD Casson fluid flow past an inclined porous plate in the effects of Dufour and chemical reaction. J Xi’an Univ Architect Technol 2021; 13: 860–873.

29.

Pathak

Heat and mass transfer of steady hydromagnetic flow on a continuously moving surface with Soret effect and thermophoretic effect. Eng Sci Int J 2021; 8: 6–12.

30.

Salahuddin

Awais

Raza

MI.

Thermophysical characteristics with natural convective flow of Carreau fluid influencing by Soret and Dufour effects: by using numerical technique. Int J Thermofluids 2024; 21: 100589.

31.

Sharma

Shaw

MHD Non-Newtonian fluid flow past a stretching sheet under the influence of non-linear radiation and viscous dissipation. J Appl Computat Mech 2022; 8: 949–961.

32.

Layek

Mandal

Bhattacharyya

Dufour and Soret effects on unsteady heat and mass transfer for Powell-Eyring fluid flow over an expanding permeable sheet. J Appl Comput Mech 2020; 6: 985–998.

33.

Kierzenka

Shampine

LF.

A BVP solver that controls residual and error. J Numer Anal Ind Appl Math 2008; 3: 27–41.

34.

Gireesha

Roja

Magnetohydrodynamics Eyring-Powell fluid in a vertical porous microchannel with convective boundary condition subjected to entropy generation. Heat Transf 2021; 50: 2525–2542.

35.

Roja

Gireesha

BJ.

Hall effects on MHD couple stress fluid flow through a vertical microchannel subjected to heat generation: a numerical study. Heat Transf 2020; 49: 4738–4758.