Second-Order slip effect on the flow of MHD chemically reacting fluid through an Inclined Micro-Annular channel

Document Type : Original Article

Authors

1 Department of Mathematics, Faculty of Physical sciences, University of Ilorin, Ilorin Nigeria.

2 Department of Mathematics Babcock University Ilishan-Remo, Ogun State, Nigeria,

3 Department of Mathematics and Statistics Federal Polytechnic Nasarawa State, Nigeria.

Abstract

This study explores the second-order slip effect on the flow of MHD chemically reacting fluid through an inclined micro-annular channel. As knowledge in flow and heat transfer is showcased in macro/micro-channel areas, consistent advancement is essential to familiar with fundamental phenomena associated. The free convection study encompasses the temperature-dependent viscosity and uniform magnetic field effect. The dimensionless equations governing the flow are modeled and solved semi-analytically via Akbari-Ganji’s Method (AGM). The velocity, energy, concentration and physical characteristics of the flow results are obtained and discussed with the aid of tables and graphs. It is found that a higher value of the slip parameter diminishes the velocity distribution at the annular gap and surfaces, while, the temperature-dependent exponential variability model enhances the fluid velocity.

Keywords

Main Subjects

References

[1] Adesanya, Free convective flow of heat generating fluid through a porous vertical channel with velocity slip and temperature jump. Ain Shams Eng. J. 6(3) 2015, 1045–1052.
[2] Ahmadi, G. M. Akbari, Nonlinear Dynamic in Engineering by Akbari-Ganji’s Method. Bloomington, Indiana: Xlibris; 2015, Reprint edition.
[3] Akbari, D. Ganji, M. Nimafar, A. Ahmadi, Significant progress in solution of nonlinear equations at displacement of structure and heat transfer extended surface by new AGM approach. Frontiers of Mech. Eng. 9(4) 2014, 390–401.
[4] T. Akolade, A. S. Idowu, A. T. Adeosun, Multislip and Soret–Dufour influence on nonlinear convection flow of MHD dissipative Casson fluid over a slendering stretching sheet with generalized heat flux phenomenon. Heat Transfer. 2021;1–21. https://doi.org/10.1002/htj.22057
[5] T. Akolade, A. T. Adeosun, J. O. Olabode, Influence of Thermophysical Features on MHD Squeezed Flow of Dissipative Casson fluid with Chemical and Radiative Effects, J. Appl Comp. Mech, 2020, pp. -. doi: 10.22055/jacm.2020.34909.2508.
[6] Ameel, X. Wang, R. Barron, R. Warrington, Laminar forced convection in a circular tube with constant heat flux and slip flow. J. of Microscale Ther. Eng. 1(4) 1997, 303–320.
[7] Atashafrooz, T. Asadi, The Effects of Buoyancy Force on the Irreversibility of Three-Dimensional Step Flow in an Inclined Duct. J. Serbian Soci. Comp Mech., 13(1) 2019, 1-16, 10.24874/jsscm.2019.13.01.01
[8] Avramenko, N. Dmitrenko, I. Shevchuk, Heat transfer and hydromagnetics of slip confusor flow under second-order boundary condition. J. Ther. Analy. Colorim. 2020.
[9] Chakraverty, N. Mahato, P. Karunakar, T. Rao, Advanced Numerical and Semi-Analytical Methods for Differential Equations, First Edition. USA, Canada. New Jersey, John Wiley and Sons, Inc. 2019.
[10] Debnath, S. Paul, A. Roy, Transport of reactive species in oscillatory annular flow. J. Appl. Flu. Mech. 11(2) 2018, 405–417.
[11] Dharmalingam, M. Veeramuni, Akbari-Ganji’s method (AGM) for solving non-linear reaction diffusion equation in the electroactive polymer film. J. Electroanalytical Chem. 844, 2019, 1–5.
[12] Gbadeyan, E. Titiloye, A. Adeosun, Effect of variable thermal conductivity and viscosity on casson nanofluid flow with convective heating and velocity slip. Heliyon 6(1) 2020, e03076.
[13] Ghadikolaei, K. H. Hosseinzadeh, D. Ganji, Analysis of unsteady mhd eyring-powell squeezing flow in stretching channel with considering thermal radiation and joule heating effect using AGM. Case Stud. in Therm. Eng. 10 2017, 579–594.
[14] Huel, Second - order slip flow and heat transfer in a long isoflux microchannel. W. Acad. of Sci., Eng. and Tech. Int. J. of Mech and Mechat. Eng. 8(8) 2014, 1464–1467.
[15] Hui, L. Chien-Hung, Second-order slip flow and heat transfer in a long isothermal microchannel. W. Acad of Sci, Eng. and Tech., Int. J. of Mech., Aeros., Ind., Mech. and Manuf. Eng. 8 2015, 1348–1351.
[16] Ibanez, A. Lopez, I. Lopez, J. Pantoja, J. Moreira, O. Lastres, Optimization of MHD nanofluid flow in a vertical microchannel with a porous medium, nonlinear radiation heat flux, slip flow and convective radiative boundary conditions. J. Therm. Analy. Colorim., 135 2019, 3401–3420.
[17] S. Idowu, U. Sani, Thermal radiation and chemical reaction effects on unsteady magnetohydrodynamic third grade fluid flow between stationary and oscillating plates Int. J. of Applied Mechanics and Engineering, 2019, 24(2) 269-293.
[18] S. Idowu, M. T. Akolade, T. L. Oyekunle, J. U. Abubakar, Nonlinear convection flow of dissipative Casson nanofluid through an inclined annular microchannel with a porous medium. Heat Transfer. 2020, 1–19.
[19] S. Idowu, M. T. Akolade, J. U. Abubakar, B. O. Falodun, MHD free convective heat and mass transfer flow of dissipative Casson fluid with variable viscosity and thermal conductivity effects, J Taibah Univ. Sci., 14(1) 2020, 851-862.
[20] Jha, B. Aina, S. Isa. Fully developed MHD natural convection flow in a vertical annular microchannel: An exact solution. J. King Saud Uni. Sci. 27(3) 2015, 253–259.
[21] Jha, B. Aina, Z. Rilwanu, Steady fully developed natural convection flow in a vertical annular microchannel having temperature-dependent viscosity: An exact solution. Alex. Eng. J. 55(2) 2016, 951–958.
[22] Jha, S. Joseph, S., Ajibade, A., Role of thermal diffusion on double-diffusion natural convection in a vertical annular porous medium. Ain Shams Eng. J. 6(2) 2015, 629–637.
[23] Khan, A. Sohai, S. Rashid, M. Rashidi, N. Khan, Effects of slip condition, variable viscosity and inclined magnetic field on the peristaltic motion of a non-Newtonian fluid in an inclined asymmetric channel. J. Appl. Flu. Mech. 9(3) 2016, 1381–1393.
[24] Liu, B. Guo, Effects of second-order slip on the flow of a fractional maxwell MHD fluid. J. Asso. Arab Univ. Basic-Appl. Sci. 24 2017, 232–241.
[25] D. Makinde, E. Osalusi, Mhd steady flow in a channel with slip at the permeable boundaries. Rom. J. Phy. 51(3) 2006, 319–328.
[26] Mirgolbabaee, S. T. Ledari, D. Ganji. An assessment of a semi analytical ag method for solving nonlinear oscillators. New Trends in Math. Sci. 4(1) 2016, 283–299.
[27] Mirgolbabaee, S. T. Ledari, D. Ganji. Semi-analytical investigation on micropolar fluid flow and heat transfer in a permeable channel using agm. J. Asso Arab Univ. Basic Appl. Sci. 24 2017, 213–222.
[28] Mirgolbabaee, S. T. Ledari, D. Ganji. E. Valujai. Analyzing the nonlinear heat transfer equation by agm. New Trends in Math. Sci. 5(1) 2017, 51–58.
[29] M. Okedaye, S. O. Salawu. Effect of Nonlinear Radiative Heat and Mass Transfer On Mhd Flow Over A Stretching Surface With Variable Conductivity And Viscosity, J. Serbian Soci. Comp Mech., 13(2) 2019, 86-103.
[30] Oni, B. Jha. Heat generation absorption effects on material convection flow in a vertical annulus with time-periodic boundary conditions. J. Air-Space. Tech. 3 2019, 183–196.
[31] L. Oyekunle, S. A. Agunbiade. Combined Effect of Thermal Radiation And Viscous Dissipation on Unsteady Free Convective Magneto-Hydrodynamic Flow Through An Irregular Channel J. Serbian Soci. Comp Mech., 14(1) 2020,37-51.
[32] Rajasekhar, P. Prasad, D. P. Rao. Effect of chemical reaction and radiation absorption on unsteady convective heat and mass transfer flow of a viscous electrically conducting fluid in a vertical wavy channel with traveling thermal waves and hall effects. Int. J. Eng. Res. Appl. 3(1) 2013, 1733–1747.
[33] Reddy, P. Sreedevi, A. Chamkha. Mhd boundary layer flow, heat and mass transfer analysis over a rotating disk through porous medium saturated by cu-water and ag-water nanofluid with chemical reaction. Pow. Tech. 307 2017, 46–55.
[34] Saghafian, I. Saberian, R. Rajabi, E. Shirani. A numerical study on slip flow heat transfer in micro-poiseuille flow using perturbation method. J. Appl. flow Mech. 8(1) 2015, 123–132.
[35] Sheikholeslami, D. Ganji. Applications of Semi-Analytical Methods for Nanofluid Flow and Heat Transfer. Oxford: Elsevier Inc. 2018.
[36] Tunc, Y. Bayazitoglu. Heat transfer in microtubules with viscous dissipation. Int. J. Heat Mass trans. 44, 2001, 2395–2403.
[37] Xu, C. Zhao, Z. Xu. Analytical conditions of slip flow and heat transfer through microfoams in mini/microchannels with asymmetric wall heat flux. Appl. ther. Eng. 93 2016, 15–25.
[38] Yusuf. Exact solution of an mhd natural convection flow in vertical concentric annulus with heat absorption. Int. J. Fluid Mech. Ther. Sci. 3(5) 2017, 52–61.
[39] Yusuf, B. Jha. A semi-analytical solution for time-dependent natural convection flow with heat generated absorption in an annilus partially filled with porous material. Multidisc. Mod. Mat. Stru. 14(15) 2018, 1042–1063.
[40] Zhu, D. Yang, L. Zheng, X. Zhang, Second-order slip effect on heat transfer of nanofluid with Reynolds model of viscosity in a coaxial cylinder. Int. J. Nonl. Sci. Num. Sim. 16(6) 2015, 285–292.
Mathematics and Computational Sciences
Volume 3, Issue 3
September 2022
Pages 11-28

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History

  • Receive Date: 08 December 2021
  • Revise Date: 13 August 2022
  • Accept Date: 16 September 2022
  • First Publish Date: 16 September 2022

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