Thermal distribution of magneto-tangent hyperbolic flowing fluid over a porous moving sheet: A Lie group analysis

Authors

  • A. B. Disu Department of Mathematics, National Open University, Abuja, Nigeria
  • S. O. Salawu Department of Mathematics, Bowen University, Iwo, Nigeria

Keywords:

Thermal conductivity, Magneto-Tangent hyperbolic liquid, Porous sheet, Scaling Lie group, Thermal radiation

Abstract

An investigation of magneto-hyperbolic tangent fluid motion through a porous sheet which stretches vertically upward with temperature-reliant thermal conductivity is scrutinized in this study. The current model characterizes thermal radiation and the impact of internal heat source in the heat equation plus velocity and thermal slipperation at the wall. The translation of the transport equations is carried out via the scaling Lie group technique and the resultant equations are numerically tackled via shooting scheme jointly with Fehlberg integration Runge-Kutta scheme. The results are publicized through various graphs to showcase the reactions of the fluid terms on the thermal and velocity fields. From the investigations, it is found that rising values of the material Weissenberg number, slip and suction terms damped the hydrodynamic boundary film whereas the heat field is prompted directly with thermal conductivity.

Dimensions

T. Abbas, S. Rehman, A. S. Muhammad & I. Utmankhel, ”Analysis of MHD Carreau fluid flow over a stretching permeable sheet with variable viscosity and thermal conductivity”, Physica A: Statistical Mechanics Applications 551 (2020) 215.

S. O. Salawu, A. M. Obalalu & MD. Shamshuddin, ”Nonlinear solar thermal radiation efficiency and energy optimization for magnetized hybrid Prandtl-Eyring nanoliquid in aircraft”, Arabian Journal for Science and engineering 22 (2022) 070801.

S. Sarkar, & O. D. Makinde, ”Slip and temperature jump e ects of MHD stagnation point flow towards a translating plate considering nonlinear radiations”, Heat Transfer (2022). https://doi.org/10.1002/htj.22664.

S. Nadeem, R. Mehmood & N. S. Akbar, ”Combined e ects of magnetic field and partial slip on obliquely striking rheological fluid over a stretching surface”, Journal of magnetism and Magnetic Materials 378 (2015)

B. C. Sakiadis, ”Boundary-layer behavior on continuous solid surfaces: I. Boundary-layer equations for two-dimensional and axisymmetric flow”, AIChEJ 7 (1961) 26.

L. J. Crane, ”Flow past a stretching plane”, Angew. Math. Phys. 21 (1970) 645.

C. Y. Wang, ”Flow due to a stretching boundary with partial slip an exact solution of the Navier-Stokes equations”, Chem. Eng. Sci. 57 (2002) 3745.

K. S. Tshivhi, O. D. Makinde & R. L. MonaledI ”Unsteady MHD nanofluid convection with heat transfer over a stretching and vertically moving sheet”, Proceedings of The Romanian Academy, Series A 23 (2022) 267.

A. M. Okedoye, S. O. Salawu & E. A. Asibor, ”A convective MHD double difusive flow of a binary mixture through an isothermal and porous moving plate with activation energy”, Computational Thermal Sciences: An Int. J. 13 (2021) 45.

K. Zaimi & A. Ishak, ”Stagnation-point flow towards a stretching vertical sheet with slip e ects”, MDPI Mathematics 4 (2016) 27.

S. O. Salawu, R. A. Kareem & J. O. Ajilore, ”Eyring-Powell MHD nanoliquid and entropy generation in a porous device with thermal radiation and convective cooling”, Journal of the Nigeria Society of Physical Sciences 11 (2022) 833.

H. Upreti, A. K. Pandey, M. Kumar & O. D. Makinde, ”Ohmic heating and non-uniform heat source/sink roles on 3d darcy–forchheimer flow of CNTs nanofluids over a stretching Surface”, Arab J Sci Eng. 45 (2020) 7705.

P. Sreenivasulu, T. Poornima & N. B. Reddy, ”Influence of Joule Heating and Non-Linear Radiation on MHD 3D Dissipating Flow of Casson Nanofluid past a Non-Linear Stretching Sheet”, Nonlinear Engineering 8 (2019) 661.

E. O. Fatunmbi & S. S. Okoya, ”Heat transfer in boundary Layer magneto-micropolar fluids with temperature-dependent material properties over a stretching sheet”, Advances in Materials Science and Engineering (2020) 1.

S. O. Salawu, A. D. Ohaegbue, R. A. Kareem & A. R. Hassan, ”On the hydromagnetic reaction of Oldroyd 8-constant Arrhenius exothermic fluid and explosion slice-chain in a plane Couette”, Chemical Physics Impact 4 (2022) 100067.

S. O. Salawu, E. O. Fatunmbi & S. S. Okoya, ”MHD heat and mass transport of Maxwell Arrhenius kinetic nanofluid flow over stretching surface with nonlinear variable properties”, Results in Chemistry 3 (2021) 100125.

A. R. Hassan, S. O. Salawu, A. B. Disu & O. R. Aderele, ”Thermodynamic analysis of a tangent hyperbolic hydromagnetic heat generating fluid in quadratic Boussinesq approximation”, Journal of Computational Mathematics and Data Science 4 (2022) 100058.

A. M. Alsharif, A. I. Abdellateef & Y. A. Elmaboud, ”Electroosmostic flow of fraction Oldroyd-B fluid through a vertical microchannel filled with a homogenous porous medium: Numerical and semi-analytical solutions”, Heat Transfer (2022). https://doi.org/10.1002/htj.22488.

S. U. Mamatha, C. S. Raju, K. Mahesha & O. D. Makinde, ”Radiative and viscous ohmic dissipation on MHD tangent hyperbolic fluid over a convectively heated sheet in a suspension of dust particles”, Diffusion Foundations 16 (2018) 177.

M. I. Khan, A. Tufail, T. A. Khan, S. Qayyum, T. Hayat, M. M. Khan & A. Alsaedi, ”Entropy generation optimization and activation energy in nonlinear mixed convection flow of a tangent hyperbolic nanofluid”, Eur. Phys. J. Plus 133 (2019) 1.

B. Mahanthesh & J. Mackolil, ”Flow of nanoliquid past a vertical plate with novel quadratic thermal radiation and quadratic Boussinesq approximation: sensitivity analysis”, Int Commun Heat Mass Transfer 120 (2021) 105040.

I. S. Oyelakin & P. Sibanda, ”Analysis of exponentially varying viscosity and thermal conductivity on a tangent hyperbolic fluid”, SeMA 77 (2020) 257.

L. Sophus & M. Ackerman, ”Sophus Lies 1884 Di erential Invariant Paper”, Math Sci. Press (1976).

S. O. Salawu & M. S. Dada, ”Lie group analysis of soret and dufour effects on radiative inclined magnetic pressure-driven flow past a Darcyforchheimer medium”, J. of the Serbian SoC. for computational Mechanics 12 (2018) 108.

U. Zakir & G. Zaman, ”Lie group analysis of magnetohydrodynamic tangent hyperbolic fluid flow towards a stretching sheet with slip conditions”, Heliyon 3 (2017) e00443.

Z. Ullah & G. Zaman, ”Lie group analysis of magnetohydrodynamic tangent hyperbolic fluid flow towards a stretching sheet with slip conditions”, Heliyon 3 (2017) e00443.

Z. Ullaha, G. Zamana & A. Ishak, ”Magnetohydrodynamic tangent hyperbolic fluid flow past a stretching sheet”, Chinese Journal of Physics 66 (2020) 258.

F. Shahzad, W. Jamshed, T. Sajid, MD. Shamshuddin, R. Safdar, S. O. Salawu, M. R. Eid, M. B. Hafeez & M. Krawczuk, ”Electromagnetic control and dynamics of generalized Burgers nanoliquid flow containing motile microorganisms with Cattaneo-Christov relations: Galerkin finite element mechanism”, Applied Sciences 12 (2022) 8636.

A. M. Alsherif, A. I. Abduellateef, Y. A. Elmaboud & S. I. Abdesalam, ”Performance enhancement of a DC-operated micropump with electroosmosis in a hybrid nanofluid: Fractional Cattaneo heat flux problem”, Applied Maths. and Mechanics 43 (2022) 931.

T. Hayat, I. Ullah, K. Muhammad & A. Alsaedi, ”Gyrotactic microorganism and bio-convection during flow of Prandtl-Eyring nanomaterial”, Nonlinear, Engineering 10 (2021) 201.

I. Ullah, M. Alghamdi, W. F. Xia, S. I. Shah & H. Khan, ”Activation energy effect on the magnetized-nanofluid flow in a rotating system considering the exponential heat source”, Int. Commun. Heat Mass Transf. 128 (2020) 105578.

Z. Aziz, & M. Shams, ”Entropy generation in MHD Maxwell nanofluid flow with variable thermal conductivity, thermal radiation, slip conditions, and heat source”, AIP Advances 10 (2020) 015038.

C. Sumalatha & S. Bandari, ”E ects of Radiations and Heat Source/Sink on a Casson Fluid Flow over Nonlinear Stretching Sheet”, World Journal of Mechanics 5 (2015) 257.

I. L. Animasaun, ”E ects of thermophoresis, variable viscosity and thermal conductivity on free convective heat and mass transfer of non-Darcian MHD dissipative Casson fluid flow with suction and nth order of chemical reaction”, J. of Nigeria Mathematical Society (2014) 1.

S. O. Salawu, A. M. Obalalu, E. O. Fatunmbi & R. A. Oderinu, ”Thermal Prandtl-Eyring hybridized MoS2-SiO2/C3H8O2 and SiO2-C3H8O2 nanofluids for e ective solar energy absorber and entropy optimization: A solar water pump implementation”, Journal of Molecular Liquids 361 (2022) 119608.

N. S. Akbar, S. Nadeem, R. U. Haq & Z. H. Khan, ”Numerical solutions of Magnetohydrodynamic boundary layer flow of tangent hyperbolic fluid towards a stretching sheet. Indian Journal of Physics 87 (2013) 1.

M. Fathizadeh, M. Madani, Y. Khan, N. Faraz & S. Tutkun, ”An effective modification of the homotopy perturbation method for MHD viscous flow over a stretching sheet”, J. King. Saud. University Sci. 25 (2013) 107.

Published

2023-02-24

How to Cite

Thermal distribution of magneto-tangent hyperbolic flowing fluid over a porous moving sheet: A Lie group analysis. (2023). Journal of the Nigerian Society of Physical Sciences, 5(1), 1103. https://doi.org/10.46481/jnsps.2023.1103

Issue

Volume 5, Issue 1, February 2023

Section

Original Research
Copyright & Licensing

Copyright (c) 2023 A. B. Disu, S. O. Salawu

Creative Commons License

This work is licensed under a Creative Commons Attribution 4.0 International License.

How to Cite

Thermal distribution of magneto-tangent hyperbolic flowing fluid over a porous moving sheet: A Lie group analysis. (2023). Journal of the Nigerian Society of Physical Sciences, 5(1), 1103. https://doi.org/10.46481/jnsps.2023.1103