TY - EJOU
AU - Tufail, Muhammad Nazim
AU - Chaudhry, Qasim Ali
TI - HEAT TRANSFER ANALYSIS FOR THE UNSTEADY UCM FLUID FLOW WITH HALL EFFECTS: THE TWO-PARAMETER LIE TRANSFORMATIONS
T2 - Frontiers in Heat and Mass Transfer
PY - 2020
VL - 15
IS - 1
SN - 2151-8629
AB - 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 *D*_{eu},
Hartmann number *M*_{u}, Hall effects parameter *m*_{u}, Prandtl number *P*_{r}, thermal radiation parameter δ_{u} and heat generation-absorption *Q*_{u}. 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.
KW - *Hall effects; UCM; Stretching sheet; Two-parameter Lie scaling; thermal radiation.*
DO - 10.5098/hmt.15.14