3D- flow of a Electrically Conducting and Dissipating Maxwell fluid treated with Ohmic Heating Convective boundary condition: Numerical Analysis

  • Abstract
  • Keywords
  • References
  • PDF
  • Abstract

    An analysis is made to study the effects of radiation, dissipation, Thermo-diffuso and Diffuso- thermo on MHD 3D Maxwell flow past a stretching permeable sheet with resistive heating. Transforming the governing dimensional boundary layer equations using three dimensional similarity transformations and then the resultant equations are numerically solved by employing Shooting method.  The effect of the pertinent parameters on various flow distributions is elaborately discussed with the help of graphs and tables. The comparison of present results with the existing literature gave an excellent agreement for the reduced cases.  

  • Keywords

    Convective boundary condition; Dissipation; Joule heating; Maxwell fluid; MHD; Radiation, Stretching sheet.

  • References

      [1] Abbas Z, Javed T, Ali N, and Sajid M (2014), Flow and Heat Transfer of Maxwell Fluid Over an Exponentially Stretching Sheet: A Non-similar Solution. Heat Transfer-Asian Research, 43 (3).

      [2] Mustafa M, Junaid Ahmad Khan, Hayat T, and Alsaedi A (2015), Simulations for Maxwell fluid flow past a convectively heated exponentially stretching sheet with nanoparticles. AIP Advances 5, 037133. https://doi.org/10.1063/1.4916364.

      [3] Feng GAO and Xiao-Jun YANG (2016), Fractional Maxwell fluid with fractional derivative without singular kernel. Thermal Science 20(3), S871-S877.

      [4] Josephe P (2017), Analysis of stagnation point flow of an upper-convected maxwell fluid. Electronic Journal of Differential Equations 2017(302),1–14.

      [5] Azhar Ali Zafar, Muhammad Bilal Riaz and Muhammad Imran Asjad)(2018), Unsteady Rotational Flow of Fractional Maxwell Fluid in a Cylinder Subject to Shear Stress on the Boundary. Punjab University Journal of Mathematics 50(2), 21-32.

      [6] Swati Mukhopadhyay and Krishnendu Bhattacharyya(2012), Unsteady flow of a Maxwell fluid over a stretching surface in presence of chemical reaction. Journal of the Egyptian Mathematical Society 20, 229–234.

      [7] Sajid M, Abbas Z, Ali N, Javed T and Ahmad I(2014), Slip Flow of a Maxwell Fluid Past a Stretching Sheet. Walailak J Sci & Tech. 11(12), 1093‐1103.

      [8] Palani S, Rushi Kumar B and Kameswaran PK(2016), Unsteady MHD flow of an UCM fluid over a stretching surface with higher order chemical reaction. Ain Shams Engineering Journal 7, 399–408.

      [9] Bataller RC (2011), Magnetohydrodynamic Flow and Heat Transfer of an Upper-Convected Maxwell Fluid Due to a Stretching Sheet. FDMP 7(2), 153-173.

      [10] Shateyi S(2013), A new numerical approach to MHD flow of a Maxwell fluid past a vertical stretching sheet in the presence of thermophoresis and chemical reaction. Boundary Value Problems 2013,196.

      [11] Sreenivasulu P, Poornima T and Bhaskar Reddy N (2017),Variable thermal conductivity influence on Hydromagnetic flow past a stretching cylinder in a thermally stratified medium with heat source/sink. Frontiers in Heat and Mass Transfer (FHMT) 9, 20. DOI: 10.5098/hmt.9.20.

      [12] Kumari M and Nath G (2014), Mixed convection flow of Maxwell fluid over an exponentially stretching vertical surface with magnetic field and viscous dissipation.Meccanica 49(5), 1263–1274.

      [13] Bhaskar Reddy N, Poornima T and Sreenivasulu P (2016), Radiative heat transfer effect on MHD slip flow of Dissipating Nanofluid past an exponential stretching porous sheet. International Journal of Pure and Applied Mathematics 109(9), 134 – 142.

      [14] Madhu M, Kishana N , Chamkha AJ (2017), Unsteady flow of a Maxwell nanofluid over a stretching surface in the presence of magnetohydrodynamic and thermal radiation effects. Propulsion and Power Research 6(1),31–40.

      [15] Hayat T, Ashraf MB, Alsaedi A, and Alhothuali MS (2015), Soret and Dufour effects in three-dimensional flow of Maxwell fluid with chemical reaction and convective condition. International Journal of Numerical Methods for Heat & Fluid Flow 25, 98–120. http://dx.doi.org/10.1108/HFF-11-2013-0322.

      [16] Yu Bai, Yuehua Jiang, Fawang Liu, and Yan Zhang(2017), Numerical analysis of fractional MHD Maxwell fluid with the effects of convection heat transfer condition and viscous dissipation. AIP Advances 7, 125309.




Article ID: 21295
DOI: 10.14419/ijet.v7i4.10.21295

Copyright © 2012-2015 Science Publishing Corporation Inc. All rights reserved.