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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:
† 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 δ
u 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
Tufail, M. N., 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.