Entropy Generation of Unsteady MHD Couette Flow through Vertical Microchannel with Hall and Ion Slip Effects
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Abstract
Description
In this work, the entropy generation of unsteady
hydromagnetic Couette flow through vertical microchannel has
been considered, the effects of Hall current and Ion-slip are also
examined. One of the plates moves with uniform velocity in the
direction of the fluid flow while the other plate is stationary.
The partial differential equations governing the flow are
obtained and transformed to ordinary differential equations.
The obtained solutions for the velocity and energy equations via
differential transform technique are used to calculate the
entropy generation and Bejan number. The results are
presented through plots and discussed. It is noticed that
primary velocity decreases with increase in Hall current, ionslip
and magnetic field parameters whereas it increases as
rarefaction parameter, wall-ambient temperature difference
ratio, Brinkman number and Grashof number increase in
values. Also secondary velocity receives a boost with increase
in Hall current, Ion-slip, rarefaction parameters, wall-ambient
temperature difference ratio, Brinkman and Grashof numbers.
Furthermore, entropy generation is minimised as Hall current,
Ion-slip and rarefaction parameters increase.
Keywords
Q Science (General), QA Mathematics