Table of Content

Open Access iconOpen Access

ARTICLE

HEAT TRANSFER ANALYSIS FOR THE UNSTEADY UCM FLUID FLOW WITH HALL EFFECTS: THE TWO-PARAMETER LIE TRANSFORMATIONS

Muhammad Nazim Tufaila , Musharafa Saleema,b,*, Qasim Ali Chaudhryb,†

a Department of Mathematics, University of Management and Technology Lahore, Sialkot Campus, 51310, Pakistan
b Department of Mathematics, University of Engineering and Technology, Lahore, 54890, Pakistan

* Corresponding Author: email:email
† Current address:Department of Mathematics, College of Science, University of Ha´il, Saudi Arabia

Frontiers in Heat and Mass Transfer 2020, 15, 1-10. https://doi.org/10.5098/hmt.15.14

Abstract

This methodology presented the unsteady three-dimensional laminar flow since Hall effects inducing the cross flow in z-axis. The boundary layer and the low magnetic Reynolds number approximations are used to simplify the system of equations derived from the constitutive laws. The upper-convected Maxwell (UCM) fluid model used for Hall effects with unsteady heat transfer, which passed through the infinite stretching sheet. This flow model has intensified with the effects of magnetohydrodynamic (MHD), thermal radiation and heat generation-absorption. Here, we selected the two-parameter Lie scaling transformations to convert the highly non-linear partial differential equations (PDEs) to the ordinary differential equations (ODEs) which are studied numerically using the MATLAB bvp4c method. The main parameters are: Deborah number Deu, Hartmann number Mu, Hall effects parameter mu, Prandtl number Pr, thermal radiation parameter δu and heat generation-absorption Qu. Hall effects reduced the transport rate in the x-axis but increased the transport rate in the z-axis. On the other hand, the Hall parameter is extravagant to transport the internal energy of the system.

Keywords


Cite This Article

APA Style
Tufail , M.N., Saleem, M., Chaudhry, Q.A. (2020). HEAT TRANSFER ANALYSIS FOR THE UNSTEADY UCM FLUID FLOW WITH HALL EFFECTS: THE TWO-PARAMETER LIE TRANSFORMATIONS. Frontiers in Heat and Mass Transfer, 15(1), 1-10. https://doi.org/10.5098/hmt.15.14
Vancouver Style
Tufail MN, Saleem M, Chaudhry QA. HEAT TRANSFER ANALYSIS FOR THE UNSTEADY UCM FLUID FLOW WITH HALL EFFECTS: THE TWO-PARAMETER LIE TRANSFORMATIONS. Front Heat Mass Transf. 2020;15(1):1-10 https://doi.org/10.5098/hmt.15.14
IEEE Style
M.N. Tufail , M. Saleem, and Q.A. Chaudhry "HEAT TRANSFER ANALYSIS FOR THE UNSTEADY UCM FLUID FLOW WITH HALL EFFECTS: THE TWO-PARAMETER LIE TRANSFORMATIONS," Front. Heat Mass Transf., vol. 15, no. 1, pp. 1-10. 2020. https://doi.org/10.5098/hmt.15.14



cc Copyright © 2020 The Author(s). Published by Tech Science Press.
This work is licensed under a Creative Commons Attribution 4.0 International License , which permits unrestricted use, distribution, and reproduction in any medium, provided the original work is properly cited.
  • 431

    View

  • 282

    Download

  • 0

    Like

Share Link