Unsteady thermally radiative Prandtl fluid flow past a magnetized inclined porous stretching device with double-diffusion,viscous dissipation,and Joule heating

Abstract

The extensive applications and complex nature of non-Newtonian fluids inspire researchers to explore them so it serves more precisely humankind. In this scenario, the Prandtl fluid over the inclined porous surface has been explored and formulated the mathematical model considering the magnetic, thermal radiation, and double diffusion effect. Also, the viscous dissipation and joule heating effect are taken into account to explore more features of the flow situation. The mathematical model of flow is renovated with the effective implementation of similarity invariants. The numerical investigation is carried out using the Runge–Kutta method and the results obtained are interpreted graphically. The effects of physical parameters such as Dufour and Soret number, radiation parameter, magnetic parameter, etc., on non-dimensional quantities, are graphically illustrated with MATLAB. The thermal boundary layer gets elevation for rising values of Eckert number, magnetic parameter, unsteadiness parameter, Dufour number, and thermal radiation.

Keywords

Magnetohydrodynamics Prandtl fluid Soret and Dufour effect ohmic heating

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References

Hamid

Zubair

Usman

, et al. Natural convection effects on heat and mass transfer of slip flow of time-dependent Prandtl fluid. J Comput Design Eng. 2019; 6: 584–592.

Hayat

Aziz

Muhammad

, et al. Three-dimensional flow of Prandtl fluid with Cattaneo-Christov double diffusion. Results Phys 2018; 9: 290–296.

Khan

Hussain

Malik

, et al. On magnetohydrodynamics Prandtl fluid flow in the presence of stratification and heat generation. Physica A 2020; 540: 123008.

Patil

Humane

Patil

, et al. MHD Prandtl nanofluid flow due to convectively heated stretching sheet below the control of chemical reaction with thermal radiation. Int J Ambient Energy 2021; 24: 1–13.

Patil

Humane

, et al. Double diffusive time-dependent MHD Prandtl nanofluid flow due to linear stretching sheet with convective boundary conditions. Int J Model Simul 2022: 1–15. https://doi.org/10.1080/02286203.2022.2033499

Hayat

Zahir

Tanveer

, et al. Influences of Hall current and chemical reaction in mixed convective peristaltic flow of Prandtl fluid. J Magn Magn Mater 2016; 407: 321–327.

Farrokhi

Otuya

Khimchenko

, et al. Magnetohydrodynamics in biomedical applications. In: Kandelousi, M. S., Ameen, S., Akhtar, M. S., et al. (eds) Nanofluid flow in porous media. London: IntechOpen, 2019.

Ali

Sheikh

, et al. Caputo–Fabrizio fractional derivatives modeling of transient MHD Brinkman nanoliquid: applications in food technology. Chaos Soliton Fract 2020; 131:109489.

Rajput

Patil

Jadhav

. MHD Mixed flow of unsteady convection with radiation over a vertical porous plate: lie group symmetry analysis. Appl Comput Mech 2017; 11: 1–12. http://hdl.handle.net/11025/26592

10.

Amanulla

Saleem

Wakif

, et al. MHD Prandtl fluid flow past an isothermal permeable sphere with slip effects. Case Studies Therm Eng 2019; 14: 100447.

11.

Hussain

Malik

Awais

, et al. Computational and physical aspects of MHD Prandtl–Eyring fluid flow analysis over a stretching sheet. Neural Comput Appl 2019; 31: 425–433.

12.

Hayat

Asghar

Tanveer

, et al. Homogeneous–heterogeneous reactions in peristaltic flow of Prandtl fluid with thermal radiation. J Mol Liq 2017; 240: 504–513.

13.

Rajesh

Rajasekhara Gowd

. Heat and mass transfer analysis on MHD peristaltic Prandtl fluid model through a tapered channel with thermal radiation. J Appl Comput Mech 2019; 5: 951–963.

14.

Patil

Ganesh

, et al. Unsteady MHD flow of a nano Powell–Eyring fluid near stagnation point past a convectively heated stretching sheet in the existence of chemical reaction with thermal radiation. Mater Today Proc 2021; 44: 3767–3776.

15.

Sivasankaran

Bhuvaneswari

Alzahrani

. Numerical simulation on convection of non-Newtonian fluid in a porous enclosure with non-uniform heating and thermal radiation. Alexandria Eng J 2020; 59: 3315–3323.

16.

Nayak

Pandey

Shaw

, et al. Thermo-fluidic significance of non-Newtonian fluid with hybrid nanostructures. Case Studies Therm Eng 2021; 26: 101092.

17.

Khan

Ullah

, et al. Effect of thermal radiation and chemical reaction on non-Newtonian fluid through a vertically stretching porous plate with uniform suction. Results Phys 2018; 9: 1086–1095.

18.

Hayat

Zahir

Tanveer

, et al. Soret and Dufour effects on MHD peristaltic flow of Prandtl fluid in a rotating channel. Results Phys 2018; 8: 1291–1300.

19.

Batool

Siddiqui

Malik

, et al. Double diffusion in stretched flow over a stretching cylinder with activation energy and entropy generation. Case Studies Therm Eng 2021; 26: 101119.

20.

Rauf

Shehzad

Abbas

, et al. Unsteady three-dimensional MHD flow of the micropolar fluid over an oscillatory disk with Cattaneo–Christov double diffusion. Appl Math Mech 2019; 40: 1471–1486.

21.

Hafeez

Khan

Ahmed

, et al. Rotational flow of Oldroyd-B nanofluid subject to Cattaneo–Christov double diffusion theory. Appl Math Mech 2020; 41: 1083–1094.

22.

Waqas

Manzoor

Muhammad

, et al. Thermo-bioconvection transport of nanofluid over an inclined stretching cylinder with Cattaneo-Christov double-diffusion. Commun Theor Phys 2021; 73: 075006. https;//doi.org/10.1088/1572-9494/abfcb9

23.

Mishra

Kumar

. Velocity and thermal slip effects on MHD nanofluid flow past a stretching cylinder with viscous dissipation and Joule heating. SN Appl Sci 2020; 2: 1–13.

24.

Jawad

Saeed

Bilal

, et al. The impact of magnetohydrodynamic on bioconvection nanofluid flow with viscous dissipation and Joule heating effects. Eng Res Express 2021; 3: 015030.

25.

Shamshuddin

Narayana

. Combined effect of viscous dissipation and Joule heating on MHD flow past a Riga plate with Cattaneo–Christov heat flux. Indian J Phys 2020; 94: 1385–1394.

26.

Ahmed

Iqbal

Akbar

. Viscous dissipation and Joule heating effects on forced convection power law fluid flow through annular duct. Proc IMechE Part C: J Mechanical Engineering Science 2021; 235: 5858–5865.

27.

Swain

Parida

Kar

, et al. Viscous dissipation and Joule heating effect on MHD flow and heat transfer past a stretching sheet embedded in a porous medium. Heliyon 2020; 6: e05338.

28.

Khan

Qasim

Shafie

. Flow of an Erying-Powell fluid over a stretching sheet in presence of chemical reaction. Therm Sci 2016; 20: 1903–1912.

29.

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.

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