Effects of MHD, Forchheimer and Heat Transfer in Annular Region between Porous and Impervious Concentric Cylinders - DTM Approach

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Authors

  • Department of Mathematics, Nitte Meenakshi Institute of Technology, Bengaluru – 560064, Karnataka ,IN
  • Department of Mathematics, M. S. Ramaiah Institute of Technology, Bengaluru – 560054, Karnataka ,IN
  • Department of Mathematics, Atria Institute of Technology, Bengaluru – 560024, Karnataka ,IN
  • Department of Mathematics, Vemana Institute of Technology, Bengaluru – 560034, Karnataka ,IN
  • Department of Mechanical Engineering, M. S. Ramaiah Institute of Technology, Bengaluru – 560054, Karnataka ,IN

DOI:

https://doi.org/10.18311/jmmf/2023/41621

Keywords:

Convection Term, DTM, Joule Heating

Abstract

Significant increase of numerous applications in engineering, biological and industrial purpose as metallic extrusion motivated this communication. This paper proposes unique computational procedure is Method of Differential Transforms (DTM) to get an exact solution for electrified conducting fluid over a semi-porous cylinder in an impermeable cylinder with effects of Joule heating and convection term. A key finding of study reports the different dimensionless parameters influences the variations in velocity and heat transport on the fluid flow are presented graphically. The graph reveals an interesting result of Nusselt number, Skin-friction and stream lines elucidates the flow characteristics. A qualitative agreement is found in the present paper and are well matched with earlier work.

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Published

2023-12-01

How to Cite

Sushma, T. C., Dinesh, P. A., Nalinakshi, N., Jayalakshmamma, D. V., & Harichandra, B. P. (2023). Effects of MHD, Forchheimer and Heat Transfer in Annular Region between Porous and Impervious Concentric Cylinders - DTM Approach. Journal of Mines, Metals and Fuels, 71(12), 2727–2740. https://doi.org/10.18311/jmmf/2023/41621

 

References

Kosari E, Vafai K. Synthesis of flow and thermal transport in porous media as applied to biological applications. Journal of Heat Transfer. 2021; 143(6). https://doi.org/10.1115/1.4050616 DOI: https://doi.org/10.1115/1.4050616

Verma VK, Verma H. Flow past porous sphere covered with another porous layer of different permeability. Special Topics and Reviews in Porous Media: An International Journal. 2020; 11(2):149-60. https://doi.org/10.1615/specialtopicsrevporousmedia.2020031001 DOI: https://doi.org/10.1615/SpecialTopicsRevPorousMedia.2020031001

Patil SM, Vinay CV, Dinesh PA. Numerical approach to interpret the attributes of porous journal bearings using couple-stress fluid. Industrial Lubrication and Tribology. 2020; 73(2):253-9. https://doi.org/10.1108/ilt-02-2020-0051 DOI: https://doi.org/10.1108/ILT-02-2020-0051

Chamkha AJ. Heat and mass transfer from MHD flow over a moving permeable cylinder with heat generation or absorption and chemical reaction. Communications in Numerical Analysis. 2011; 2011:1-20. https://doi.org/10.5899/2011/cna-00109 DOI: https://doi.org/10.5899/2011/cna-00109

Kalavathi GK, Yuvaraja BK, Dinesh PA, Vasundhara MG. Theoretical Study of influence of MHD in an infinitely long rough Porous Journal Bearing. IOP Conference Series: Materials Science and Engineering. 2021; 1189(1). DOI: https://doi.org/10.1088/1757-899X/1189/1/012030

Abbas Z, Majeed A, Javed T. Thermal radiation effects on Mhd flow over a stretching cylinder in a porous medium. Heat Transfer Research. 2013; 44(8):703-18. https://doi.org/10.1615/heattransres.2013005990 DOI: https://doi.org/10.1615/HeatTransRes.2013005990

Deo S, Maurya PK. Micropolar fluid flow through a porous cylinder embedded in another unbounded porous medium. Journal of Porous Media. 2021; 24(4):89-99. https://doi.org/10.1615/jpormedia.2021034738 DOI: https://doi.org/10.1615/JPorMedia.2021034738

Suneetha S, Reddy NB. Radiation and mass transfer effects on MHD free convection flow past a moving vertical cylinder in a porous medium. Journal of Naval Architecture and Marine Engineering. 2011; 7(1):1–10. https://doi.org/10.3329/jname.v7i1.2901 DOI: https://doi.org/10.3329/jname.v7i1.2901

Aldoss TK. MHD mixed convection from a vertical cylinder embedded in a porous medium. International Communications in Heat and Mass Transfer. 1996; 23(4):517-30. https://doi.org/10.1016/0735-1933(96)00036-x DOI: https://doi.org/10.1016/0735-1933(96)00036-X

Kalavathi GK, Dinesh PA, Gururajan K. Influence of roughness on porous finite journal bearing with heterogeneous slip/no-slip surface. Tribology International. 2016; 102:174-81. https://doi.org/10.1016/j.tri-boint.2016.05.032 DOI: https://doi.org/10.1016/j.triboint.2016.05.032

Rao CVR, Sekhar TVS. MHD Flow past a circular cylinder - A numerical study. Computational Mechanics. 2000; 26(5):430-6. https://doi.org/10.1007/s004660000191 DOI: https://doi.org/10.1007/s004660000191

Nalinakshi N, Dinesh PA, Harichandra BP, Likith G. Effect of variable fluid properties and magneto-hydrodynamics for convection with couple stress fluid. Biointerface Research in Applied Chemistry. 2021; 11(5):13490-501. https://doi.org/10.33263/briac115.1349013501 DOI: https://doi.org/10.33263/BRIAC115.1349013501

Jayalakshmamma DV, Dinesh PA, Nalinakshi N, Sushma TC. Study of viscous fluid flow past an impervious cylinder in porous region with magnetic field. Applied Mathematics and Scientific Computing. 2019; 265-73. https://doi.org/10.1007/978-3-030-01123-9_27 DOI: https://doi.org/10.1007/978-3-030-01123-9_27

Umadevi B, Dinesh PA, Vinay CV. The analytical study of velocity slip on two-phase flow in an engineering. 2020; 223-31. https://doi.org/10.1007/978-981-15-1201-8_26 DOI: https://doi.org/10.1007/978-981-15-1201-8_26

Umadevi R, Chandrashekhar DV, Dinesh PA, Jayalakshmamma DV. Fluid flow in composite cylindrical regions. Advanced Engineering Forum, 2021; 40:63-72. https://doi.org/10.4028/www.scientific.net/aef.40.63 DOI: https://doi.org/10.4028/www.scientific.net/AEF.40.63

Javed A. One dimensional differential transform method for higher order boundary value problems in finite domain. International Journal of Contemporary Mathematical Sciences. 2012; 6:263-72.

Ertürk VS. Differential transformation method for solving differential equations of lane-emden type. Mathematical and Computational Applications. 2007; 12(3):135-9. https://doi.org/10.3390/mca12030135 DOI: https://doi.org/10.3390/mca12030135

Biazar J, Elslami M. Differential transform method for quadratic Ricatti Differential equation, International Journal of Nonlinear Sciences. 2010; 9(4):444-7.

Farshid M. Differential transform method for solving linear and non-linear systems of differential equations, Applied Mathematical Sciences. 2011; 5:3465-72.

Narahari P, Avinash K. Differential transform method for ordinary differential equations. Journal of Computer and Mathematical Sciences. 2012; 3(3):330-37.

Soltanalizadeh B. Application of differential transformation method for solving a fourth-order parabolic partial differential equations. International Journal of Pure and Applied Mathematics. 2012; 78(3):299-308.

Loganathan P, Kannan M, Ganesan P. MHD effects on free convective flow over moving semi-infinite vertical cylinder with temperature oscillation. Applied Mathematics and Mechanics. 2011; 32(11):1367-76. https://doi.org/10.1007/s10483-011-1507-6 DOI: https://doi.org/10.1007/s10483-011-1507-6

Dinesh PA, Jayalakshmamma DV. Flow of Conducting Fluid on solid Core Surrounded by Porous Cylindrical Region in Presence of Transverse Magnetic Field. Mapana - Journal of Sciences. 2017; 13(3):13–29. https://doi.org/10.12723/mjs.30.2 DOI: https://doi.org/10.12723/mjs.30.2

Sharma MK, Singh K, Kumar A. MHD flow and heat transfer through non-darcy porous medium bounded between two parallel plates with viscous and joule dissipation. Special Topics and Reviews in Porous Media - An International Journal. 2014; 5(1):1–11. https://doi.org/10.1615/specialtopicsrevporousmedia.v5.i1.10 DOI: https://doi.org/10.1615/SpecialTopicsRevPorousMedia.v5.i1.10

Methi G. Solution of differential equations using differential transform method. Asian Journal of Mathematics and Statistics. 2015; 9(1–3):1–5. https://doi.org/10.3923/ajms.2016.1.5 DOI: https://doi.org/10.3923/ajms.2016.1.5

Sowbhagya. Outlook of density maximum on the onset of Forchheimer-Bénard convection with through flow. Journal of Mines, Metals and Fuels. 2022; 70(8A):32–40. https://doi.org/10.18311/jmmf/2022/32007 DOI: https://doi.org/10.18311/jmmf/2022/32007

Shree VV, Rudresha C, Balaji C, Maruthamanikandan S. Effect of MFD Viscosity on Ferroconvection in a fluid saturated porous medium with variable gravity. Journal of Mines, Metals and Fuels. 2022; 70(3A):98-103. DOI: https://doi.org/10.18311/jmmf/2022/30675

Kumara VMV, Aswatha, Reddy VBP, Datta DA, Balaji V, Ashik AV. A numerical investigation of natural convection in a porous enclosure with lower wall heating. Journal of Mines, Metals and Fuels. 202; 70(10A):195-201. https://doi.org/10.18311/jmmf/2022/31225 DOI: https://doi.org/10.18311/jmmf/2022/31225

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